UNSW School of Mathematics & Statistics 2015-2017 by The Imagination Agency Pty Ltd

School of Mathematics and Statistics

2015 -2017

CRICOS Provider No 00098G

ÂŠ2018 School of Mathematics and Statistics UNSW Sydney NSW 2052 Australia

Contact

T: +61 (0)2 9385 7111 F: +61 (0)2 9385 7123 E: office.MathsStats@unsw.edu.au W: www.maths.unsw.edu.au

Project Coordinator Susannah Waters

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Contents OUR SCHOOL ..... 3

ACADEMIC EXCELLENCE ..... 13 Our People ..... 14 Our Research ..... 44

OUR STUDENTS ..... 61

SOCIAL ENGAGEMENT ..... 89

OUR VISITORS ..... 109 Domestic and International

APPENDIX ..... 121

School Facts at a Glance: 2015, 2016, 2017

STUDENTS

STAFF

26,400

54 ACADEMIC 20 POSTDOCS 8 PROFESSIONAL 5 TECHNICAL ≈250 SESSIONAL

Students taught 30% FEMALE

RESEARCH

776

JOURNAL PAPERS

BOOKS

5,365 EFTSL

≈300 Students with a disability

5 FAA 2

Laureate Fellows

80 Honours 143 PhDs 209 PG Coursework

2 Future Fellows 4 DECRAs

≈ $13M Research Grants

Discovery Projects

OUR SCHOOL

Report from the Head of School Professor Bruce Henry

Welcome to the UNSW School of Mathematics and Statistics Some commentators have remarked that we are in the fourth industrial revolution, identifying; the first, 1760+, steam leading to mechanization; the second, 1870+, electricity leading to mass production; the third, 1980+, electronics and IT leading to automated production; the fourth, 2010+, digitization and machine intelligence leading to cyber physical fusion. Mathematics and Statistics is often viewed as an enabling technology that helps, but is in the background for industry. This discipline is very much in the foreground for the fourth industrial revolution. Digitization, which represents information from images, sounds, documents and analogue signals into binary numbers, is largely based on Fourier series. Machine intelligence is fundamentally the encoding of mathematical and statistical algorithms that enable adaption and learning without hard programming. It is a great time to be a mathematician, statistician, or data scientist. The major advances in this fourth industrial revolution will require the creation and development of new mathematics and statistics. One of the anticipated advances is the advent of autonomous vehicles. The Society for Industrial and Applied Mathematics has a nice summary page on the mathematics and statistics behind autonomous vehicles on its Math Matters website. Sensor data, which is analysed and fused using the mathematics of Kalman filtering and particle filtering, provides information on the position and velocity of the vehicle. The mathematics of graph theory and dynamic programming and optimization are used to plan the path of the vehicle. One of the fundamental outstanding problems where mathematics will play a vital role is the development of appropriate algorithms for vehicle responses to extreme events.

Our School of Mathematics and Statistics has been developing new programs to train the technology future-shapers for the fourth industrial revolution. We introduced a new undergraduate degree in Data Science and Decisions with its first intake in 2017. We are currently developing postgraduate programs in this area. All of our Data Science programs are multidisciplinary, including courses from three different faculties; Science, Engineering and Business. Our School continues to create and develop new mathematics and statistics across a range of research programs where we have world-leading expertise. This includes most areas of modern mathematics; algebra, number theory, Bayesian methods, biomathematics, bio- and eco- statistics, combinatorics, computational mathematics, fractional calculus, functional analysis, geometry, harmonic analysis, Monte Carlo methods, nonlinear phenomena, nonparametric statistics, oceanic and atmospheric sciences, optimization, risk analysis, stochastic analysis. We typically host one hundred visitors annually coming from all parts of the world and we regularly host international workshops and conferences. Our mission is to be the number one provider of mathematics and statistics teaching and research in Australia, and to be among the best globally; creating, discovering, and sharing knowledge for the benefit of humankind. Whether you are a student, an educator, a researcher, a politician or another interested person I welcome you to share our passion in this creation and discovery process. Professor Bruce Henry, Head, UNSW School of Mathematics and Statistics.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; OUR SCHOOL

UNSW Mathematics and Statistics: NUMBER ONE IN RESEARCH IN AUSTRALIA! Top recipient of research funding from Australian Research Council

Top 100 in World Rankings We are frequently recognised as a leading centre for Mathematics in various global research rankings. Rankings are based on a collection of statistics like the total number of papers published and the proportion published in top journals, citation impact, prominent awards and, in some cases, a reputation survey.

Most of the funding for research in Mathematics and Statistics derives from the Australian Research Council (ARC). In the Discovery Project (DP) grant schemes, UNSW has received the most funding in the mathematical sciences in three of the past five rounds (DP14, DP15 and DP18) and leads nationally in cumulative funding over the past five rounds. Additionally, since 2014, the School hosts a node of the ARC Centre of Excellence for Mathematical and Statistical Frontiers (ACEMS). Previously, the School hosted a node of the ARC Centre of Excellence for Mathematics and Statistics of Complex Systems (MASCOS). The award of a Centre of Excellence is a prestigious recognition of research excellence.

We have ranked first in Australia for Mathematics in the Academic Ranking of World Universities by ShanghaiRanking on six of the seven occasions it has issued subject rankings since 2010, including the most recent 2018 survey. In 2018, we also ranked second for Oceanography in Australia in these rankings, and in the Top 25 worldwide (in the 23rd spot). The four U.S. News Global Universities Rankings 2015-2018 also placed UNSW at number one in Australia for Mathematics.

We are the only Australian university to feature in the top 100 in the world for Mathematics in all four of the Academic Ranking of World Universities, the US News Global Universities Rankings, the CWTS Leiden and the QS World University Rankings.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; OUR SCHOOL

School Governance

HEAD OF SCHOOL

DEPUTY HEAD

SCHOOL MANAGER

HEAD APPLIED

HEAD PURE

HEAD STATISTICS

MANAGER STUDENT SERVICES

TECHNICAL LABORATORY MANAGER

DIRECTOR FIRST YEAR STUDIES

DIRECTOR U/GRAD STUDIES

DIRECTOR HONOURS

MANAGER SCHOOL RECORD SYSTEM

MANAGER WEB SOCIAL MEDIA

DIRECTOR P/GRAD RESEARCH

DIRECTOR P/GRAD COURSEWORK

CHAIR ONLINE ACTIVITIES COMMITTEE

CHAIR ACADEMIC COMMITTEE

CHAIR LEARNING &TEACHING COMMITTEE

CHAIR RESEARCH COMMITTEE

CHAIR COMPUTING COMMITTEE

CHAIR PUBLICITY COMMITTEE

CHAIR STANDING COMMITTEE

CHAIR WH&S COMMITTEE

CHAIR ADMIN COMMITTEE

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; OUR SCHOOL

School Advisory Board The Advisory Board’s aim is to advise and assist the School in its research and teaching work, covering all aspects of engagement with the community in general, and its stakeholder groups in particular.

Professor Emma Johnston Dean, UNSW Faculty of Science

Andrea Connell Principal, Sydney Girls High School

Louise Robert-Smith Educational consultant

Professor Bruce Henry Head of School, UNSW School of Mathematics and Statistics

Professor Al Boggess Director of the School of Mathematical and Statistical Sciences, Arizona State

Professor Herbert Huppert Fellow, Royal Society; Emeritus Professor at Cambridge

Annelies Tjetjep Customer Success Manager, SAS Institute

Professor John Roberts Deputy Head of School, UNSW School of Mathematics and Statistics

Dr Gary Brassington Principal Research Scientist with the Australian Bureau of Meteorology, Environment and Research Division and Lead Scientist for research and development of operational ocean forecast systems

Dr Bernard Kachoyan Operations Research Consultant. UNSW School of Mathematics and Statistics alumnus

Dr Ben Waterhouse Founder and Owner of Model Solutions Pty Ltd. UNSW School of Mathematics and Statistics alumnus

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— OUR SCHOOL

School Strategic Retreat

In August 2016 Head of School Professor Bruce Henry convened a one-day Strategic Retreat for staff at Crowne Plaza, Coogee Beach. All members of staff were invited to participate in the event which aimed to build School awareness about strengths, weaknesses, opportunities and threats; to prepare for the Vice Chancellorâ&#x20AC;&#x2122;s visit to the School the coming October; and to develop a three-year Strategic and Operational Plan for the School. Key topics were covered on the day, and questions were addressed and discussed within these areas, focusing on where we are now, where we want to be, and what we need to get there. The Strategic Review areas analysed were as follows:

Research Quality Presentations on research metrics; SHARP, Scientia Fellowships and Scholarships; performance expectations; and interdisciplinary/impact/industry/ linkage projects were delivered by John Roberts and Gary Froyland, and strategy was formulated around: QQ Obtaining more SHARP appointments QQ Achieving more Linkage Grants QQ Optimising our performance in metrics QQ Ensuring that we get our share of Scientia Fellows QQ Managing our research areas QQ Attracting and securing more PhD students

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; OUR SCHOOL

Educational Excellence Presentations on teaching metrics; blended learning; optimising programs and courses; flexible learning trimesters; and valuing teaching excellence were delivered by Jonathan Kress, Norman Wildberger, Adelle Coster and Chris Tisdell, and strategy was formulated around: QQ Preparing for rationalisation of courses with low enrolments QQ Establishing our priorities for online courses QQ Determining key learning outcomes for students in Applied, Pure, Statistics

Global Impact

QQ Identifying the key challenges in a trimester model: additional assessments, fatigue, mark processing

Presentations on university rankings; international visitors; the international student experience; and global alliances and opportunities were delivered by Scott Sisson, Chris Tisdell and Norman Wildberger, and strategy was formulated around:

QQ Deciding on online programs to develop QQ Approaches to providing students with feedback in a more timely and meaningful way

Social Engagement Presentations on staff equity – gender; student equity – gender; equity initiatives; outreach, media exposure, opportunities; and industry partnerships were delivered by Flory Alviola, Catherine Greenhill, Susannah Waters and Gary Froyland, and strategy was formulated around:

QQ Improving in rankings QQ Establishing international student load in online learning QQ Making the Plus Alliance work for us

Enablers

QQ Addressing the gender imbalance in mathematics and statistics

Presentations on budget and opportunities; professional staff; IT resources; and education-focused staff were delivered by Mary Hervir, Flory Alviola, Tom Sedgwick and Chris Tisdell, and strategy was formulated around:

QQ Using media to enhance our research impact

QQ Managing a three-year budget

QQ Our approach to social media, Facebook, Twitter, Instagram, Snapchat

QQ Identifying IT resources needed for future teaching and research

QQ Creating meaningful industry partnerships

QQ Determining the number of education-focused staff we should have

QQ Engaging with UNSW Grand Challenges

QQ Maintaining strong collegiality and morale through change.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— OUR SCHOOL

SCHOOL STATISTICS OVER THE LAST 5 YEARS 2013

2014

2015

2016

2017

6952 36 50 11 314 7079 28.60%

7355 42 45 13 327 7485 29%

8007 47 42 32 355 8046 29%

8749 59 53 20 352 8783 29.80%

9523 103 48 28 493 9571 30.10%

53 5 8

54 5 8

53 5 8

54 5 8

56 5 8

4,256,463 209

4,787,350 236

3,435,895 236

4,025,739 250

4,062,477 226

1435

1499

1597

1774

1994

Mathematics + Statistics Student Numbers Undergraduate Students Postgraduate Coursework Postgraduate Research Honours Students Mathematics + Statistics Majors Total Students Taught Percentage of female students Staff Academic Professional + Technical (IT) Professional + Technical (General) Research Research Income Publications Teaching Total EFTSL

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; OUR SCHOOL

ACADEMIC EXCELLENCE

introductio ns

PART I o ur people

DEAN OF THE FACULTY OF SCIENCE Professor Emma Johnston

Professor Emma Johnston is the Dean of Science at UNSW Sydney. She is an authority in marine ecology and a former Pro Vice-Chancellor (Research) at UNSW. She is head of the Applied Marine and Estuarine Ecology Lab at UNSW and has led major projects for industry, government, the Australian Research Council and the Australian Antarctic Science Program. As President of Science and Technology Australia (STA), Professor Johnston is a national representative for the STEM sector and a passionate advocate for diversity in STEM. Professor Johnston is also a professional science communicator who presents for BBC/Foxtel and ABC television.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; ACADEMIC EXCELLENCE Our People

HEAD OF SCHOOL Professor Bruce Henry Professor Bruce Henry is an Applied Mathematician with more than 100 international journal publications across many different discipline areas, including; applied mathematics, biology, condensed matter physics, geology, materials science, mathematical physics, plasma physics, stochastic processes, neuroscience, and vision science. For the past 15 years most of his research has been concerned with the development of mathematical models for the motions of particles that react and diffuse in environments with traps and external forces. He has been one of the pioneers in developing and combining continuous time random walks, fractional calculus and stochastic analysis, to provide a new paradigm for modelling these particle motions. The new paradigm extends beyond Einstein’s theory of Brownian motion to model diffusion in systems where particles can be trapped. Some of Professor Henry’s applications in this area include new model equations to describe nerve cell signalling, taking into account trapping by micrometre sized spines that decorate dendrites on nerve cells, and new model equations for in-host infections, taking into account trapping and binding properties of mucous. In recent years Professor Henry has worked closely with Dr Chris Angstmann and PhD students Isaac Donnelly, Ignacio Ortega-Piwonka, and Anna McGann; and he has presented joint work as an Invited Speaker in Special Mini-symposium sessions, at the International Congress for Applied Mathematics in Beijing, China (2015), the Australian Annual Mathematical Society Meeting, Canberra (2016) and at the SIAM Snowbird Dynamical Systems Conference, Snowbird, Utah (2017). When he gets time, he likes to escape up the Mid North Coast, play guitar, and surf.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— ACADEMIC EXCELLENCE Our People

introductions

DEPUTY HEAD OF SCHOOL Professor John Roberts

Professor John Roberts studied applied mathematics and physics at the Australian National University, via a National Undergraduate Scholarship, and then completed a PhD in applied mathematics at the University of Melbourne. Since then, he has worked at the Institute for Theoretical Physics, University of Amsterdam, and in the mathematics departments at the University of Melbourne and La Trobe University, before joining UNSW in 2001. He has enjoyed the adventure of working in different places in Australia plus has had Visiting Fellowships or positions at the University of Tuebingen, University of London, University of Cambridge, Universita Autonoma Barcelona and CUNY Graduate Center in New York. One of the great attractions of research for him is its international community.

John has an international reputation in discrete integrable systems: the study of ordered dynamics in discrete time (the QRT or Quispel-Roberts-Thompson maps, derived in his early papers, are now standard models in the literature). More recently, he has established himself in arithmetic dynamics, the interface of dynamical systems and number theory, which has practical applications to cryptography. The area of dynamical systems (popularly known as chaos theory) is a good example of an interdisciplinary scientific field, allowing work across topics in mathematical physics, applied mathematics and pure mathematics. For John, the high of nailing a research puzzle is similar to that experienced by listening to great music or seeing great art or design, two of his other passions. Itâ&#x20AC;&#x2122;s important that we let students appreciate that mathematics is, as well as a science, an art with inherent aesthetic beauty.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; ACADEMIC EXCELLENCE Our People

HEAD OF APPLIED MATHS Associate Professor Josef Dick

It is a joy to be the Head of the Applied Mathematics Department, which provides a very friendly and collaborative environment, and whose members are very active in research in various areas and teaching at all levels.

My research interests are in computational mathematics/numerical analysis, in particular quasi-Monte Carlo methods, discrepancy theory and uncertainty quantification. These areas have connections with algebra, number theory and statistics.

I regularly return to my roots in Austria, visiting family and the Johannes Kepler University in Linz, where I work with several colleagues whom I have known since my undergraduate studies. I have visited and worked at various places around the world, including Hong Kong Baptist University, Stanford University (USA), National University of Singapore, University of Tokyo (Japan) and Tsinghua University (China).

Together with Friedrich Pillichshammer, I published a monograph on quasi-Monte Carlo methods in 2010 (Cambridge University Press).

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; ACADEMIC EXCELLENCE Our People

introductions

HEAD OF PURE MATHS Associate Professor Daniel Chan

I work in noncommutative algebra and algebraic geometry. Though the subjects of commutative algebra and geometry have long been known to be intimately related through the algebra-geometry duality, only recently have mathematicians pursued intriguing interactions between noncommutative algebra and algebraic geometry.

I have collaborators in Japan, USA and Canada, and have been invited to speak at the Clay Mathematics Institute (Oxford), Mathematisches Forschungsinstitut Oberwolfach (Germany), Casa Matematica Oaxaca (Mexico) and the Simons Center for Geometry and Physics (Stony Brook).

My own research focuses on two important aspects of these interactions. Firstly, I study noncommutative analogues of commutative algebras arising in algebraic geometry. These include Azumaya algebras on varieties, their generalisations and their coordinate rings. To study these I have, with my collaborators, introduced various algebro-geometric techniques, such as Moriâ&#x20AC;&#x2122;s minimal model program, to the noncommutative setting. A second direction involves exploring geometric objects called moduli stacks to illuminate our understanding of noncommutative algebra.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; ACADEMIC EXCELLENCE Our People

HEAD OF STATISTICS Professor Scott Sisson

My enthusiastic research group works on many interesting problems in Bayesian and computational statistics, and in extreme value theory, often involving very large and complex datasets. We do much of this as part of the ARC Centre of Excellence in Mathematical and Statistical Frontiers (ACEMS).

We have then used these new methods to efficiently predict crop types based on satellite images, fit mixture models to billions of data points, estimate global species diversity, analyse social network structures, and evaluate the rate of onset of multidrug resistance in tuberculosis.

On the methodology side we have been developing new ways to do statistical modelling when the likelihood function is computationally intractable, understanding and improving the maths behind variational approximations to the posterior distribution, and discovering completely new ways to analyse big data by first reducing the data to distributions, and then analysing these distributions as “data”.

Between having fun doing this, we have also been busy writing articles for The Conversation on the same-sex marriage survey and Australia’s chances of winning the 2018 World Cup (answer: not very high!).

Associate Professor Jake Olivier revealed the sobering odds of winning the lottery in a Channel 7 news broadcast in June 2016. A/Prof Olivier has been featured in the media many times in recent years, having his research highlighted, appearing in interviews, and providing expert opinion to media outlets such as ABC (including ABC Fact Check and ABC Radio), The Guardian, SMH and Channel 10.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— ACADEMIC EXCELLENCE Our People

report s

Report from SCHOOL MANAGER Suzie Scandurra

The School of Mathematics and Statistics is one of the largest schools within the Faculty of Science, and we teach approximately 10,000 students across several faculties and disciplines. We are currently the only university in Australia to be ranked in the top 100 in the world for Mathematics by each of the four following ranking bodies: Academic Ranking of World Universities, the US News Global Universities Rankings, CWTS Leiden and the QS World University Rankings. My engagement with UNSW spans almost a decade; I joined the School of Mathematics and Statistics as the School Manager in early January 2018. In this role I work closely with

the Head of School and provide high level strategic advice and support. This has been a very exciting and challenging year for us all, as we strive to embrace the changes at UNSW and we aspire to reach our goals working together towards UNSW 2025. The administrative unit in the School is comprised of dedicated and highly experienced professionals all striving to the delivery of outstanding services to both our staff and stakeholders. It is delightful to be a part of such a dynamic and successful School and I look forward to the years ahead.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; ACADEMIC EXCELLENCE Our People

Report from TECHNICAL LAB MANAGER Soputtra San

2017 saw one of the largest changes within the Computing Centre as a result of the University-wide restructuring. The number of Computing staff was reduced from five to two, and this change has posed both challenges and some new opportunities.

One noticeable challenge is to ensure that the level of support provided by the Computing Centre to staff and students is maintained. Key areas include the School’s computer laboratories, multi-purpose video conference room 4082, and general staff desktops.

I have subsequently taken on a new role as the Technical Laboratory Manager to oversee the operations of teaching and research laboratories in the School.

Up until recently, the supported operating systems for staff machines had been limited to Windows and Linux. However, we have now introduced a small pilot program which allows staff to use Mac OS as a work desktop. We hope to expand this service to more people when a new technical staff member joins our Computing team.

Dr Libo Li, Lecturer in Statistics “The best part of my job is that I am able to teach the best students in NSW and do research with complete freedom. It is always rewarding to see students do well and enjoy the learning process.”

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— ACADEMIC EXCELLENCE Our People

report s

Report from WORKPLACE HEALTH & SAFETY MANAGER Russel Morison

The School’s Workplace Health and Safety Committee is comprised of representatives of the School, who are elected by School members. The Committee liaises between the staff of the School, the School administration, and Estate Management to ensure that a healthy, safe and productive work environment is available to all staff, students and visitors. Our overall aim is “Harm to Zero”, with the expectation that no person shall suffer any harassment, intimidation or harm while working, studying or visiting UNSW. Our prime area of responsibility is the centre and eastern wings of the Red Centre, and through monitoring, assessing and reporting all faults or risks, we try to ensure that our work environment is a safe and pleasant place to work and study.

Membership: Chair: Russel Morison HOS: Bruce Henry Academic: Leung Chan Admin: Suzie Scandurra Staff: Gemayne Magbanua Student: Galina Levitina

Our main role is ensuring that risk management is undertaken for all research, teaching or operational activities, and that all foreseeable hazards are identified, risks are assessed, and all such risks are mitigated.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— ACADEMIC EXCELLENCE Our People

Farewell

Professional and computing staff have been vital to the efforts of the School of Mathematics and Statistics since its inception. The academic staff, responsible for front-line teaching and research, cannot carry this out without the support of highly dedicated and competent administrative and technical staff. In the School of Mathematics and Statistics there is a very healthy respect between these groups and this has been strengthened over time to become a model university work environment. In 2017, workplace change at UNSW led to the disestablishment of seven administrative and technical staff positions with one replacement at the School level, and other replacements in other parts of the university. The School was deeply saddened by the loss of these staff and held a farewell in October 2017 recognising their vitality, dedication and indispensability, and wishing them the best of possible futures. (Scenes from the farewell party for Flory Alviola, Mary Hervir, Jan Lin and Susannah Waters)

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; ACADEMIC EXCELLENCE Our People

Professional Staff Team 2015 - 2017

staff

Markie Lugton

Venus Lim, K aye Sedgers (fro nt), Mary Hervir, Susan nah Waters, Flory Alviola

Jan Lin

Gem a Mag yne ban ua

Julie Hebblewhite

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; ACADEMIC EXCELLENCE Our People

Computing Staff Team 2015 - 2017

Tom Sedgwick

Soputtra San

Kevin Sedgwick Duncan Smith

Martin Thompson

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; ACADEMIC EXCELLENCE Our People

staff

WELCOME to the School

Markie Lugton joined our Student Services team in 2015, bringing along 13 years’ experience in School support at the tertiary level. Her previous roles at Western Sydney University include supporting School Research and Higher Degree Research students; Acting School Manager; Team Leader supporting casual employment, finance and travel; and primary program and graduation process support in the Schools of Education and Engineering.

Our former PhD student Daniel Mansfield joined us as an Associate Lecturer in 2015. Daniel, who has proven very popular with students, has helped lead the School’s online learning initiatives and has been recognised for his outstanding teaching. He received a 2014 Vice-Chancellor’s Award for Teaching Excellence for Outstanding Contributions to Student Learning, and in 2017 he won the inaugural KPMG Inspiring Teacher Award in a First Year Undergraduate Program. Daniel is a Lecturer in the School.

Prior to his arrival at UNSW in 2015, Lee Zhao was an Associate Professor in the School of Physical and Mathematical Sciences at Nanyang Technological University, Singapore. Earlier, he held postdoctoral positions at the University of Toronto and KTH Royal Institute of Technology in Stockholm. He completed his PhD at Rutgers University in New Jersey, U.S. Lee’s research interests include Analytic Number Theory, Sieve Methods, Exponential and Character Sums, L-functions, Automorphic Forms, Elliptic Curves, and Diophantine Approximations. Lee is a Senior Lecturer in the School.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— ACADEMIC EXCELLENCE Our People

Before arriving in Australia, Gemayne Magbanua graduated from a Bachelor of Science in Hotel and Restaurant Management in the Philippines and went on to manage several restaurants. She later worked in Singapore as an Operations Executive in the area of beauty and wellness. After marrying and moving to Australia, Gemayne worked as a staff supervisor at the Shangri-La Hotel in Sydney. Gemayne joined our School in 2016 and is the friendly first point of contact for staff, students and visitors in our School Office.

Following his PhD at CSIRO in Hobart in 2009, Jan Zika undertook a postdoctoral fellowship in Grenoble, France. He then joined the Climate Change Research Centre at UNSW as a Research Fellow before taking up a NERC Postdoctoral Research Fellowship at the University of Southampton’s National Oceanographic Centre. There he went on to become a senior research scientist, managing a group of postdoctoral and graduate fellows. Jan was then then based at both the Grantham Institute on Climate Change and the Environment and the Department of Physics at Imperial College London as a NERC Independent Research Fellow. Jan joined us in 2016 and is now a Senior Lecturer who continues to pursue research into climate and other global problems.

Before joining us in 2017, Pierre Lafaye de Micheaux spent two years as a Professor of Statistics at the National School for Statistics and Information Analysis in France. Just prior to this, he was a Senior Visiting Fellow at UNSW’s Centre for Healthy Brain Ageing. Pierre’s other positions include Associate Professor in the Department of Mathematics and Statistics, Université de Montréal, Affiliate Researcher at the Grenoble Neuroscience Institute, and Assistant Professor at Grenoble Alpes University in France. Pierre has also provided statistical consultation for companies such as BNP Paribas, Olea Medical and Danone Research France. Pierre is a Senior Lecturer in the School.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— ACADEMIC EXCELLENCE Our People

Staff PROMOTIONS

2017

Promotion to Associate Professor Adelle Coster

Promotion to Senior Lecturer Shane Keating

Promotion to Senior Lecturer Thomas Britz

Promotion to Senior Lecturer Gery Geenens

staff

Promotion to Professor Scott Sisson

Promotion to Senior Lecturer Peter Straka

2016

Promotion to Senior Lecturer Zdravko Botev

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; ACADEMIC EXCELLENCE Our People

2015

Promotion to Professor John Roberts

Promotion to Associate Professor Frances Kuo

Promotion to Associate Professor Chris Tisdell

Promotion to Professor David Warton

Promotion to Associate Professor William McLean

Promotion to Senior Lecturer Pinhas Grossman

Promotion to Associate Professor Daniel Chan

Promotion to Associate Professor Moninya Roughan

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; ACADEMIC EXCELLENCE Our People

Staff AWARDS

staff

Trevor McDougall won the 2017 NSW Premier’s Prize for Science and Engineering, for Excellence in Mathematics, Earth Sciences, Chemistry and Physics. He was presented with the award by Premier Gladys Berejiklian at a ceremony at Government House. In 2015, Scientia Professor McDougall was presented the Australian Academy of Science Jaeger Medal for Research in Earth Sciences during a ceremony at the Science at the Shine Dome event in Canberra.

Peter Brown won a 2016 UNSW Science Staff Excellence Award for Best Lecturer, as voted by students. He was presented with the award at the Faculty of Science end of year party. Professor Bruce Henry said that the award is “a wonderful recognition of Peter’s outstanding teaching”.

Daniel Mansfield won the KPMG Inspiring Teacher Award in a First Year Undergraduate Program for 2017. Popular lecturer Dr Mansfield won the inaugural award of this industry-sponsored initiative, which asks students to nominate the most inspiring teacher they have encountered during their first year of an undergraduate program at UNSW.

David Warton won the 2017 Journal of Agricultural, Biological and Environmental Statistics Paper of the Year Award. One of Professor Warton’s co-authors on the paper, “Generalized Linear Latent Variable Models for Multivariate Count and Biomass Data in Ecology”, is our former PhD student Francis Hui.

David Harvey received the 2016 Journal of Complexity Best Paper Award.

David Hunt was conferred the 2016 Paul Erdös Award. Associate Professor Hunt was presented with the prestigious award at a special meeting of the World Federation of National Mathematics Competitions during the International Congress of Mathematics Education in Hamburg.

“Even faster integer multiplication”, which Dr Harvey co-authored with Joris van der Hoeven and Gregoire Lecerf, was published in the journal in October 2016.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— ACADEMIC EXCELLENCE Our People

Shane Keating received a 2016 Vice-Chancellor’s Award for Teaching Excellence for Contributions to Student Learning. Congratulating Dr Keating, Professor Bruce Henry said, “Shane is an inspiring teacher and he has done outstanding work in developing and teaching an online engineering mathematics course, which has been received well by students”.

Thomas Britz won a 2015 Vice Chancellor’s Award for Teaching Excellence for Outstanding Contributions to Student Learning. These awards recognise staff who have made outstanding contributions to student learning in a specific area of responsibility, and diverse contributions to the quality of student learning. Dr Britz was presented with an engraved UNSW medallion at a dinner with Vice Chancellor Ian Jacobs in April 2016.

Gary Froyland was announced a recipient of the 2015 Vice-Chancellor’s Award for Teaching Excellence for Excellence in Research Supervision. These awards recognise and encourage sustained excellence in postgraduate research supervision. Professor Froyland was one of only two recipients of the award in the 2015 round.

Catherine Greenhill was conferred the 2015 Australian Academy of Science Christopher Heyde Medal, which recognises distinguished research in the mathematical sciences by researchers up to 15 years postPhD in the year of nomination. Associate Professor Greenhill, who received the award jointly with Dr Scott Morrison (ANU), was presented with the award at the 2015 Science at the Shine Dome event in Canberra.

Vaithilingam Jeyakumar and Guoyin Li were selected for the 2015 Optimization Letters (OPTL) Best Paper Award, for their article “Robust SOS-convex polynomial optimization problems: exact SDP relaxations”. Professor Jeyakumar and Associate Professor Li co-authored the paper with our former postdoc, Josef Vicente-Perez. It was published by Springer in January 2015.

Chris Tisdell was awarded a 2015 UNSW Staff Excellence Award for Excellence in Diversity and Inclusion. This award was developed to reward contributions made by staff whose initiatives have fostered inclusivity, productivity and innovation, strengthening ties with the community and ensuring that UNSW remains a responsible global citizen. Professor Tisdell was praised by Professor Bruce Henry for his “valuable work… in taking mathematics education to the masses through YouTube videos and e-books.”

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— ACADEMIC EXCELLENCE Our People

Visiting Teaching Fellow Program During the three decades of our Visiting Teaching Fellow (VTF) program, we have welcomed many teachers from both private and public schools. The program provides a two-way opportunity for experienced school teach- 2016 VTF Paul Hancock ers to spend a year with (Woonona High School) us, undertaking tutoring “There were two major driving in First Year Mathematics, forces behind my decision to apply for the VTF. The first came with some Fellows also from a bit of personal history; it taking on second year was a Visiting Teaching Fellow tutorials or lecturing in our that in my first year at UNSW set the seed for me to ultimately beFundamentals of Mathecome a teacher of mathematics. matics course. Fellows are The second came from a realialso available during con- sation that the senior mathematics curriculum is set to change sultation hours to assist quite significantly in the next few students and help to select years, with statistics being introduced throughout. The chance and mentor new casual to teach university level mathetutors. matics is both a daunting one and an exciting one; understanding is one thing, teaching others so that they too understand is another, something those of us who teach know well.”

2015 VTF Geoff Carroll (Sydney Grammar School) “As a high school mathematics teacher, the VTF program presents a fantastic opportunity to re-engage with my undergraduate level maths, collaborate with academics on teaching and learning strategies, and build enduring links with one of Australia’s leading centres for mathematics research and teaching. The School of Mathematics and Statistics has actively encouraged my participation in many excellent initiatives to increase student engagement in mathematics and genuinely values the insight a school teacher can bring to the table.”

2017 VTF Margaret Clemson (Kincoppal - Rose Bay School)

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— ACADEMIC EXCELLENCE Our People

Chris Tisdell commentated at the inaugural Calculus World Cup in Taipei in April 2016 “It was fantastic to watch these students compete in the first ever Calculus World Cup. The gaming aspect of the competition was extremely fun and dynamic”, he revealed. “I’m sure that learning through gaming will be a big part of the future of education.”

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— ACADEMIC EXCELLENCE Our People

Books

In September 2017 we celebrated the In December 2016, A/Prof Spiridon release of A/Prof Mike Hirschhorn’s book, Penev and Prof Pierre Del Moral’s book “The Power of q: A Personal Journey”. “Stochastic Processes: From Applications to Theory” was published by CRC “This unique book explores the world of q, known Press. technically as basic hypergeometric series, and represents the author’s personal and life-long study - inspired by Ramanujan - of aspects of this broad topic… the book is designed to appeal to advanced undergraduates as well as researchers in the field. The principal aims are to demonstrate the power of the methods and the beauty of the results. “The book contains novel proofs of many results in the theory of partitions and the theory of representations, as well as associated identities. Though not specifically designed as a textbook, parts of it may be presented in course work; it has many suitable exercises” -- Springer International Publishing.

“Unlike traditional books presenting stochastic processes in an academic way, this book includes concrete applications that students will find interesting such as gambling, finance, physics, signal processing, statistics, fractals, and biology. Written with an important illustrated guide in the beginning, it contains many illustrations, photos and pictures, along with several website links. Computational tools such as simulation and Monte Carlo methods are included as well as complete toolboxes for both traditional and new computational techniques” – CRC Press. The book was deemed a “must-have for somebody pursuing data science or stochastic processes” by our former Master of Statistics student Murali Venkatraman, who said it was “as good as it can get for stochastic processes”.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— ACADEMIC EXCELLENCE Our People

Marine mathematicians Three of our oceanography researchers appeared in a photographic exhibition, “Wild Researchers”, which focused on scientists by awardwinning photographer Tamara Dean. The series, released in November 2015, was a unique collaboration with UNSW which aimed to

Dr Quôc Thông Lê Gia’s most recent book, “Spherical Radial Basis Functions, Theory and Applications” was released in June 2015 via Springer Publishing. The book, co-authored with Simon Hubbert and Tanya M. Morton, is the first to be devoted to the theory and applications of spherical (radial) basis functions (SBFs), which is rapidly emerging as one of the most promising techniques for solving problems where approximations are needed on the surface of a sphere.

shatter the stereotype of the scientist in a white lab coat, and instead display the wide array of backdrops and settings that scientists work in. The photo, “Marine Mathematicians”, features Nina Ribbat, Amandine Schaeffer and Paulina Cetina-Heredia.

Of the 156-page book, Springer Publishing says: “The aim of the book is to provide enough theoretical and practical details for the reader to be able to implement the SBF methods to solve real world problems. The authors stress the close connection between the theory of SBFs and that of the more well-known family of radial basis functions (RBFs), which are well-established tools for solving approximation theory problems on more general domains. The unique solvability of the SBF interpolation method for data fitting problems is established and an in-depth investigation of its accuracy is provided. Two chapters are devoted to partial differential equations (PDEs). “One deals with the practical implementation of an SBF-based solution to an elliptic PDE and another which describes an SBF approach for solving a parabolic time-dependent PDE, complete with error analysis. The theory developed is illuminated with numerical experiments throughout.”

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— ACADEMIC EXCELLENCE Our People

School staff receive the highest of honours While the entire university community celebrated the sensational news that UNSW Scientia Professor Michelle Simmons was named 2018 Australian of the Year, our School community had further cause for joy when it was revealed that two of our own staff featured on the Honours List.

Scientia Professor Trevor McDougall was awarded the Companion of the Order of Australia, “For eminent service to science, and to education, particularly in the area of ocean thermodynamics, as an academic, and researcher, to furthering the understanding of climate science, and as a mentor of young scientists.”

(Above: Trevor McDougall with his wife Brita) Associate Professor David Hunt was awarded the Medal of the Order of Australia (General Division), “For service to education, and to mathematics.” A/Prof Hunt’s extensive service to the Australian mathematical community was cited, including his lengthy involvement with the Australian Mathematical Olympiad Committee, the Australian Mathematics Trust and the Australian Mathematical Society.

(Above: David Hunt)

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— ACADEMIC EXCELLENCE Our People

Trevor McDougall heads up Australian Climate Science Capability report Scientia Professor Trevor McDougall led a comprehensive Australian Academy of Science review into Australia’s Climate Science Capability, which was released in August 2017. The report’s release, which spurred widespread media coverage, followed a lengthy period of liaison with government Ministers, their offices and Departments, and consideration of the review by the National Climate Science Advisory Committee. The review surveyed all of Australia’s climate research agencies and centres, including the Bureau of Meteorology, the CSIRO, the Australian Antarctic Division and universities, to identify how many Australian researchers are working across the various disciplines and sub-disciplines of climate science, and how well these different areas are performing. The Academy instigated the review to assess how well Australia’s climate science sector is positioned to meet current and future demands for weather and climate knowledge, within the framework of increasingly powerful and sophisticated tools and methodologies.

The report recommended that government considers mechanisms to ensure better coordination of climate research across Australia’s universities and climate agencies. It also recommended increasing climate science capability in several critical areas. Professor McDougall said that under-resourcing in specific areas detracts from Australia’s ability to deliver necessary climate and weather information to domestic end users, and national and international organisations. “Australia’s climate research sector is a fraction of the size of those in America or Europe, but we cover most of the Southern Hemisphere in terms of climate modelling and understanding,” said Prof McDougall.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— ACADEMIC EXCELLENCE Our People

Ian Sloan’s 80th birthday conference On June 2018 we held a conference at UNSW to celebrate Professor Ian Sloan’s 80th birthday. The conference was kicked off on Sunday 17 June with a lively birthday dinner at the Palais Room in Luna Park, which was attended by 112 people, including several of Ian’s family members.

As a satellite event of this UNSW conference, there was a two-week research program titled “On the Frontiers of High Dimensional Computation” from 4 -15 June at the MATRIX research institute in Creswick, Victoria, where 42 researchers from Australia and overseas gathered for informal collaboration and a workshop covering many interesting topics.

On Monday 18 June Ian was awarded an Honorary Degree, “Doctor of the University”, at UNSW’s Clancy Auditorium. The scientific part of the conference commenced that afternoon in Colombo Theatres, with an official opening by Faculty of Science Dean Professor Emma Johnston and a welcome by Professor Bruce Henry. Presentations were delivered by 14 speakers across Monday and Tuesday. The conference’s international participants hailed from Austria, Belgium, China, France, Germany, Hong Kong, New Zealand, Poland, South Korea, the U.K., and the U.S. - demonstrating the breadth and strength of Ian’s collaboration and influence in the global mathematical community. As a tribute to Ian, a festschrift titled “Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan” was published by Springer. It comprises nearly 60 articles written by international leaders in a diverse range of areas in computational mathematics. The book also tells the life story of Ian - the renowned mathematician, family man, colleague and friend, who has been an inspiration to many.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— ACADEMIC EXCELLENCE Our People

Ian Sloan celebrates 50 years at UNSW In July 2015, Ian Sloan marked 50 years working at UNSW. School members gathered in the Scientia’s Tyree Room to celebrate with Ian over lunch.

“Put simply, Ian is a singularity. He is a person of tremendous energy and acumen. He has made major contributions in shaping the landscape of mathematics in our School and more widely in Australia. He has left a legacy of exceptional PhD students and research associates. Some of them are academic staff in our School…” - Prof Bruce Henry.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— ACADEMIC EXCELLENCE Our People

Peter Brown retires Much to the dismay of his army of loyal student fans, Peter Brown retired in July 2017. Peter’s time in the School was characterised by an energetic approach to exceptional teaching and a strong dedication to his many students over almost three decades of service at UNSW. Peter commenced work in the School of Mathematics and Statistics as a Senior Tutor in 1990; he was promoted to Associate Lecturer in 1993, Lecturer in 2001 and finally to Senior Lecturer in 2013. Peter’s talent for teaching was recognised with a Vice Chancellor’s Award for Teaching Excellence in 2009, and student evaluations of his teaching have consistently been at leading levels. At the end of 2016 he was awarded a UNSW Science Staff Excellence Award for “Best Lecturer”, as voted by students. Peter was very active in the School community, serving as Director of First Year from 2011 to 2016, preparing questions and solutions for the UNSW School Mathematics Competition, running staff development activities for new tutors, participating in the Talented Students Day, and publishing articles in our journal Parabola. His contributions to the national mathematics community have been just as prolific. He has been involved in developing a training program for tutors setting HSC Mathematics exams; given numerous talks at high schools; provided extensive support to educators teaching the new Secondary School Mathematics National Curriculum; published many scholarly articles; prepared reports on the Western Australia High School Mathematics Syllabus; and has enthusiastically provided tutoring to disadvantaged students at Matraville Sports High School as part of UNSW’s Matraville Education Partnership. He also co-authored a set of eight textbooks covering the Australian Mathematics Curriculum from Year 7 to Year 10.

Testament to Peter’s immense popularity, an announcement on the School of Mathematics and Statistics’ Facebook page about his retirement was the most popular post in the six-year history of the Facebook account, garnering many comments filled with praise for Peter, referring to him as “amazing”, “enthusiastic”, “passionate”, “awesome” and “brilliant”. The School hosted a farewell gathering for Peter in the Scientia’s Tyree Room, where Head of School Professor Bruce Henry delivered a moving speech citing many of Peter’s exceptional achievements. In a win for the School, Peter will continue on as an Honorary member of staff. “Peter is a talented and dedicated scholar and teacher; a person who is generous in sharing both their time and their skill; a person with the highest standards of integrity; a person ruled by logic, equity, and compassion, in fine balance; a highly valued and trusted colleague; a gentleman.” – Professor Bruce Henry.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— ACADEMIC EXCELLENCE Our People

Trevor tackles the Tour de France! Avid cyclist Trevor McDougall tackled the Tour de France in July 2017. Trevor sent several dispatches from the Tour, where he cycled Stage 13 - a perilous mountainous race through the Pyrenees - on Bastille Day. Trevor teamed up with his son-in-law Tim for the journey, which culminated in the quaint village of Massat after clocking up over 60 kilometres on the trail.

Despite an admirable defence by the students, our staff soccer team remains unbeaten, having won all annual matches from 2015-2017! (Pictured: the 2017 staff and student players)

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; ACADEMIC EXCELLENCE Our People

Staffing: Into the future… We are excited to be joined by the following new staff members in 2018 and 2019.

Dr Amandine Schaeffer Lecturer Applied Mathematics (Physical Oceanography), from January 2018. Amandine graduated from her engineering degree in marine science and her PhD in physical oceanography at the Mediterranean Institute of Oceanography in Toulon, France. She joined us in 2011 as a postdoctoral research associate and since then has focused her research on regional oceanography along the south-east coast of Australia. She uses ocean observations and numerical modelling to study the variability of the East Australian Current, cold core eddies, shelf processes, and recently the dynamics and statistics of marine heatwaves.

Dr Anita Liebenau – DECRA Fellow and Lecturer Pure Mathematics (Graph Theory, Probabilistic Combinatorics), from July 2018. Following her PhD at the Free University Berlin in 2013, supervised by Tibor Szabó, Anita undertook a postdoc position with Dan Král’ at the University of Warwick, followed by a postdoc at Monash University in 2015 with Nick Wormald. Anita’s expertise is in extremal and probabilistic combinatorics. Specifically, she has worked on problems in Ramsey theory, on combinatorial games played on graphs, and on enumeration problems of large discrete structures.

Dr Jan Zika, Senior Lecturer in Applied Mathematics “Since Newton, we’ve had a pretty good idea of how physical systems work – at least those that aren’t super tiny, close to absolute zero or travelling close to the speed of light. The ocean and atmosphere thankfully fall into that category. “This means we can write down equations describing the climate, and the challenge is solving them. Sometimes this involves a few scribbles on the back of an envelope, a few pages of careful sums or getting a super computer to process a few trillion calculations. In the end, without maths we can neither understand how the climate works nor make accurate predictions about what might happen.”

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— ACADEMIC EXCELLENCE Our People

Dr Vera Roshchina - Senior Lecturer Applied Mathematics (Optimisation, Finite Dimensional Geometry), from July 2018. Vera works on finite dimensional optimisation problems, focusing on the geometry of underlying objects. This includes subdifferential calculus and the study of facial structure of convex sets. Vera received her PhD in Applied Mathematics from the City University of Hong Kong in 2009. Prior to joining UNSW in 2018, she was an ARC DECRA Research Fellow at the School of Science, RMIT University and held postdoctoral positions at the University of Évora (Portugal), Federation University Australia and The University of Melbourne. Her research interests are in convex geometry and nonsmooth optimisation.

Dr Arnaud Brothier - Lecturer Pure Mathematics (Operator Algebras, Group Theory, Representation Theory), from July 2018.

Eurika Kaiser - Lecturer Applied Mathematics (Dynamical Systems, Optimisation, Data Science), from July 2019.

Dr Arnaud Brothier grew up in the suburbs of Paris and completed his PhD in 2011 under the supervision of Fields Medallist Vaughan Jones at UC Berkeley and Professor Andrzej Zuk at the University of Paris Diderot.

Following her Diploma (master’s) degree in Physical Engineering in 2012 at the Technical University Berlin, Eurika received her PhD in 2015 at the University of Poitiers on data-driven methods for model reduction and control in fluid dynamics.

Arnaud had research positions at KU Leuven (Belgium), Vanderbilt University (USA), and the University of Rome II. Arnaud has given more than 70 presentations in colloquiums, international conferences, and seminars around the world. His research interests primarily focus on operator algebras, a cross-field of many areas of mathematics and physics, in particular von Neumann algebras, Jones’ Subfactor Theory and their interactions with group theory, ergodic theory, and conformal field theory.

In 2016, she joined the University of Washington in Seattle as a Moore/Sloan Data Science and Washington Research Foundation Innovation in Data Science Postdoctoral Fellow at the eScience Institute, where she incorporates ideas from sparsity-promoting techniques and machine learning for sensor placement problems arising in fluid dynamics and robust system identification for control.

Dr Thomas Britz, Senior Lecturer in Pure Mathematics and Editor of Parabola “My job is pretty awesome, and I really love both teaching and research – and I even like administration. Teaching is especially nice though, because I get to interact with students and feel their immediate feedback. I always try to enter a class in a happy and enthusiastic mood, so as to excite and engage students, but I usually exit the class even happier and more excited because of the feedback, to and fro, between students and me. “The other great aspect of teaching is seeing students understand something, especially after they have strained against some hurdle. It is great to be able to help but it is equally great to see the transformation and joy that comes with understanding.” UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— ACADEMIC EXCELLENCE Our People

PART II ou r research

We are Number One in Australia for Mathematics We are the only Australian university to feature in the top 100 in the world for Mathematics in four of the prominent international subject rankings, and we rank first nationally in three of these rankings. We received the most ARC Discovery Project total funding in the mathematical sciences in the past five years, and in the individual years 2014, 2015 and 2018. We are the only School in the UNSW Faculty of Science with two ARC Laureate Fellows, also equal first nationally for the greatest number of Laureate Fellows in a school of mathematical sciences.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; ACADEMIC EXCELLENCE Our Research

Report from Chair of the RESEARCH COMMITTEE Professor John Roberts

The School is justifiably proud of its research track record of excellence. We are the only Australian university to feature in the top 100 in the world for Mathematics in all four of the Academic Ranking of World Universities (ARWU), the US News Global Universities Rankings and, additionally, the CWTS Leiden and the QS World University Rankings. In particular, we have ranked first in Australia for Mathematics in all four of the US News Global Subject Rankings that have been conducted in 2015-2018 and in six of the seven Academic Ranking of World Universities since 2010. In 2018, we are one of only nine research subjects at UNSW that are ranked first nationally by ARWU. The 2018 ARWU puts us at number 92 in the world and the 2018 US News rankings place us at number 75. In the main, research funding in mathematics and statistics derives from the Australian Research Council (ARC), particularly via the Discovery Projects (DP) scheme that funds a researcher for a program on a particular research topic, typically of three years’ duration. The awarding of research grants is decided by a process of peer review where the norms of our discipline are considered. UNSW Mathematics and Statistics has received the most funding in the mathematical sciences of any school of mathematics and statistics in Australia in three of the past five rounds (DP14, DP15 and DP18) and leads nationally in cumulative funding over the past five rounds. Additionally, since 2014, the School hosts a node of the ARC Centre of Excellence for Mathematical and Statistical Frontiers (ACEMS). Previously, the School hosted a node of the ARC Centre of Excellence for Mathematics and Statistics of Complex Systems (MASCOS). The award of a Centre of Excellence is a prestigious recognition of research excellence.

In addition to DP funding in mathematics and statistics, School researchers have been very successful in attracting DP funding in other research areas (particularly in oceanography and marine science) or through other schemes. The School is increasingly successful with ARC Linkage Grants, which fund projects between university and industry partners. Overall, the School attracted $4,062,477 in research income in 2017, up 18% from 2015. As well as being proud of the quality of our research, we are proud of the breadth of our research into mathematics and statistics. In the last ARC Excellence in Research for Australia exercise of 2015, the School received the top rating of 5 in Pure Mathematics and Statistics, the rating 4 in Applied Mathematics and the rating 5 overall (5 denotes ‘well above world standard’ in research and 4 denotes ‘above world standard’). This was equal best performance nationally for schools of mathematical science. Individual researchers in the School have received the highest distinctions through Fellowships of Academies, funded research fellowships and research medals, as detailed elsewhere in the report. We are the only School in the UNSW Faculty of Science to host two Australian Research Council Laureate Fellows: Professors Trevor McDougall FRS (awarded 2015) and Fedor Sukochev FAA (awarded 2017). Our research excellence means we can offer a highly-ranked international environment for the research training of undergraduates, postgraduates and postdoctoral fellows. We look forward to maintaining our leading national and international research roles into the future.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— ACADEMIC EXCELLENCE Our Research

Research Groups The School of Mathematics and Statistics Research Groups in Applied Mathematics attracts a high level of external research Biomathematics funding and provides a dynamic environ- Computational Mathematics Fluid Dynamics, Oceanic & Atmospheric Sciences ment for postgraduate and postdoctoral Nonlinear Phenomena study in mathematics and statistics. Our Optimisation research groups are interconnected, with Research Groups in Pure Mathematics frequent interactions between groups and with other schools and faculties both Algebra and Number Theory Combinatorics within and outside the university. Functional and Harmonic Analysis Geometry Mathematical Physics

Research Groups in Statistics Bayesian and Monte Carlo Methods Biostatistics and Ecology Finance and Risk Analysis Nonparametric Statistics Stochastic Analysis

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; ACADEMIC EXCELLENCE Our Research

Research Grants 2015 - 2017

Grants Commencing in 2017 Australian Laureate Fellowship QQ F. Sukochev, Breakthrough methods for noncommutative calculus (2017-2022: $2,107,500)

ARC Discovery Grants QQ M. Cowling, Homogeneous metric spaces (2017: $107,000; 2018: $99,000; 2019: $80,000) QQ P. Grossman, D. Evans, M. Izumi, Quadratic fusion categories: a new frontier in subfactor theory (2017: $93,259; 2018: $128,500; 2019: $96,384) QQ I. Shparlinski, Additive combinatorics, arithmetic algebraic geometry and finite fields (2017: $117,000; 2018: $108,000; 2019: $120,000) QQ F. Sukochev, D. Potapov, A. Carey, New methods in spectral geometry (2017: $131,500; 2018: $121,500; 2019: $135,000) QQ J. Brown, L. Bilston, J. Charlton, S. Koppel, L. Keay, J. Olivier, Design features critical for correct use of child car restraints (2017-2019: $423,500), through the School of Medical Sciences, UNSW

ARC â&#x20AC;&#x201C; DECRA QQ M. Feischl, Optimal adaptivity for uncertainty quantification (2017: $103,903; 2018: $103,803; 2019: $106,258) QQ A. Liebenau, Advances in graph Ramsey theory (2017: $110,607; 2018: $109,328; 2019: $111,438)

We received the most ARC Discovery Project total funding in the mathematical sciences in the past five years, and in the individual years 2014, 2015 and 2018.

ARC Future Fellowships QQ S. Sisson, Frontiers in Data Science: Analysing Distribution as Data (2017-2021: $1,001,192)

NHMRC Project Grants QQ S. Turville, T. Hope, A. Vallely, D. MacLaren, A. Carr, J. Murray, C. Liu, Resolving Human Immunodeficiency Virus (HIV) transmission (2017-2019: $745,213)

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; ACADEMIC EXCELLENCE Our Research

Cancer Australia QQ R. O’Brien, G. Froyland, J. Booth, P. Bannon, F. Hegi-Johnson, High Precision Radiotherapy: Dual Cardiac and Respiratory Motion Management (2017-2019: $597,000) through the University of Sydney

QQ P. Straka, How to predict extremes when events occur in bursts, Australia-Germany Joint Research Co-operation Scheme (2017: $5,300)

Faculty Research Grants

QQ G. Geenens, Better statistical analyses through cutting-edge nonparametric copula modelling ($6,000) QQ C. Greenhill, Solving problems in probabilistic combinatorics using insights from statistical physics ($5,000)

QQ C. Angstmann & W. McLean, Mathematics and computation QQ B. Henry & C. Angstmann, of reaction-subdiffusion in Theory and experiments on growing cells ($5,000) UNSW Goldstar Award stochastic resonance in subdiffusive media ($5,000) QQ J. Dick, Modern techniques in QQ M. Banner, A new dimension in quantifying fundamental airquasi-Monte Carlo theory and QQ S. Keating, Unravelling ocean sea fluxes ($5,000) computation ($40,000) filaments, fronts, and vortices at kilometre scales ($5,000) QQ J. Du, Presenting and extend- QQ Z. Botev & S. McNamara, ing Hecke endomorphism algebra ($41,528)

New methodology for visualization of big data: EM algorithms and beyond ($5,000)

QQ M. Holzer, Revealing changes in Southern Ocean ventilation: QQ T. Britz, Demi-matroids and Tutte polynomials: The next New fundamental approaches chapter on matroids and ($40,000) codes ($5,000) QQ V. Jeyakumar, G. Li, C. Thai Doan, Numerically Certifiable QQ L. Chan, Pricing exotic options under Stochastic VolatilMathematics for Multi-Exity model with Regime switchtremal Global Optimization ing: A Saddlepoint ($5,000) ($40,000) QQ I.H. Sloan, Q. Le Gia, Uncertainty on spheres and shells: mathematics and methods for applications ($40,000)

Other Grants

QQ F. Chen, Challenges in statistical inference for a new point process model ($7,000)

QQ A. Ostafe, Unlikely Intersections in algebraic Dynamics ($6,500) QQ M. Voineagu, Etale equivariant motivic cohomology and the persistent Euler-Poincare characteristic ($5,000) QQ D. Warton, Innovative approaches to hierarchical vegetation classification ($5,000)

QQ N. Wildberger, Building a QQ A. Coster, Connecting concomputational environment for tinuous and discrete – Hybrid Euclidean and non-Euclidean mathematical modelling of geometries over finite fields biological transport processes ($6,500) ($8,000)

QQ G. Froyland, Robust detection and prediction of coherent structures in geophysical, physical, and chemical QQ I. Doust, Gap measures and systems, Australia-Germany the structures of metric spacJoint Research Co-operation es ($7,000) Scheme (2017-2018: $24,000) QQ Y. Fan, Model-based simulaQQ L.R. Jorm, A. Blance, R. tion and clustering of massive Parker, B. Hanh, T. Churchdata from galactic archaeoloes, S. Sisson, S. Pearson, gy ($10,000) J.A. Shepherd, P. Straka, S. Lujic, Health Data Analytics QQ G. Froyland, Variability and Training Materials, Departextremes in nonautonomous ment of Health/Commonchaotic dynamical systems wealth Government Contract ($5,000) ($1,176,774)

QQ J. Kress, Symmetry and superintegrability of geometric differential equations ($2,500)

QQ L. Zhao, Zeros of L-functions, large sieve and primes by quadratic forms ($5,000)

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— ACADEMIC EXCELLENCE Our Research

Government/Industry Grants QQ T. Senserrick, S. Boufous, J. Hatfield, J. Olivier, A Williamson, GJ Knight, Evaluation of the NSW Motorcycle Graduated Licencing System, Transport for New South Wales (2017-2018: $211,098), through Transport and Road Safety (TARS) Research Centre

Grants Commencing in 2016 ARC Discovery Grants QQ S. Penev, P. Shevchenko, Frontiers in inference about risk (2016: $113,600; 2017: $110,100; 2018: $120,000

ARC Linkage QQ I. Jonsen, R. Harcourt, I. Suthers, M. Roughan, M. Doblin, D. Slip, M. Cox, Resolving the warming East Australia Current’s impact on a marine food web (2016: $54,800; 2017: $80,589; 2018: $78,056), through Macquarie University

QQ J. Westbrook, J. Braithwaite, W. Dunsmuir, The nature and consequences of interruptions and multi-tasking (2016 – 2018: $462,628), through Macquarie University

QQ Z. Botev, Perfect simulation in the Bayesian LASSO model ($8,365) QQ L. Li, Parametrix expansion for density of stopping times ($6,238)

ARC Future Fellowships

QQ A. Ostafe, Algebraic dynamical systems in positive characteristic ($8,364)

QQ D. Harvey, Counting points on algebraic surfaces (2016: $99,573; 2017: $200,419; 2018: $201,789; 2019: $202,109; 2020: $101,166)

QQ P. Straka, How to predict extremes when events occur in bursts ($7,238)

ARC - DECRA QQ P. Straka, Predicting extremes when events occur in bursts (2016: $98,112; 2017: $98,112; 2018: $98,112)

QQ S. Sisson, D. Nott, Frontiers in Bayesian methods for compuUNSW Goldstar Award tationally intractable models (2016: $117,400; 2017: QQ J. Franklin, Resolving the $144,600; 2018: $142,000) puzzles of probability: by Aristotelian realist philosophy QQ T. Tran, B. Goldys, Z Brzezniak, A. Prohl, E. Stephan, S. Meddahi, Novel approaches for problems with uncertainties (2016: $116,600; 2017: $110,100; 2018: $120,000)

Early Career Research Grants

QQ I. Shparlinski, Additive combinatorics, algebraic geometry and finite fields

Faculty Silverstar Award QQ P. Grossman, Quadraticfusion categories: a new frontier in subfactor theory QQ B. Henry (& P. Reece, Physics), Stochastic Resonance in Sub-diffusive Media: Theory and Experiment

Faculty Research Grants QQ C. Angstmann, Mathematical modelling of sub-diffusion and morphology of archael cells ($5,000) QQ M. Banner, Space-time properties of steep and breaking ocean waves ($5,000) QQ L. Chan, Pricing of long dated equity-linked life insurance contracts ($5,000) QQ F. Chen, New models and inference methodologies for analysis of sequences of repeated events ($5,000) QQ A. Coster, GLUT4 translocation: mathematics of insulin control ($11,000) QQ I. Doust, Combinatorial optimization in distance geometry ($7,000)

QQ J. Du, A finite dimensional approach to quantum superQQ M. Holzer, Revealing changes groups ($7,000) in Southern Ocean ventilation: New fundamental approaches QQ G. Geenens, Novel nonparametric copula-density-based QQ M. Roughan, S. Keating, techniques for better statistiUnveiling the submesoscale cal analyses ($6,000) ocean using super-resolved satellite observations UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— ACADEMIC EXCELLENCE Our Research

QQ V. Jeyakumar, Numerically certifiable mathematics for global optimization ($5,000) QQ J. Kress, Symmetries, superintegrability, and conformal geometry ($6,000) QQ Q. Le Gia, Spheres, Hyperspheres and Spherical Shells: Approximations and Applications ($11,000) QQ G. Li, First-order methods for solving structured large-scale nonsmooth and nonconvex optimization problems: when optimization meets big data ($8,000) QQ H. Lian, Structure discovery and variable selection in semiparametric models ($7,500) QQ S. McNamara, Mathematical modelling of sub-diffusion and morphology of archael cells ($5,000) QQ J. Murray, determining the combination of HIV therapeutics to best achieve eradication ($5,000) QQ J. Olivier, Effect sizes for measures of risk in epidemiology and transformations to other effect sizes ($5,200) QQ M. Voineagu, Equivariant motivic invariants and equivariant K-theory ($6,000)

Other Grants QQ J. Olivier, Systematic review of the impact of bicycle helmet use and legislation on cycling injury and participation, Swedish Transport Administration (2016-2017: $179,080)

QQ J. Stoklosa, G. Cassis, Heteroptera-plant interactions as a next generation indicator for the Bush Blitz program, Australian Biological Resources Study ($40,000)

Government/Industry Grants QQ T. Senserrick, S. Boufous, J. Hatfield, J. Olivier, Queensland’s Graduated Licensing System (GLS), Queensland Department of Transport and Main Roads (2016-2017: $126,063), through Transport and Road Safety (TARS) Research Centre

Grants Commencing in 2015

QQ D. M. Harvey, Fast algorithms for zeta functions of algebraic varieties, (2015: $110,000; 2016: $105,500; 2017: $110,000) QQ F. Sukochev, D. Potapov, J. J. Dykema, Schur decompositions and related problems in operator theory (2015: $127,000; 2016: $121,800; 2017: $130,000; 2018: $130,000) QQ D. I. Warton, Advances in biodiversity modelling and analysis of high-dimensional counts (2015: $100,000; 2016: $95,900; 2017: $100,000)

ARC Linkage

Australian Laureate Fellowship

QQ M. Roughan, A. Jeff, G. Liggins, M. Coleman, A unique integrated approach to predicting fisheries recruitment (2015: $45,000; 2016: $95,000; 2017: $110,000; 2018: $60,000)

QQ T. McDougall, Ocean mixing processes and innovation in oceanographic models (2015: $287,967; 2016: $570,132.50; 2017: $565,923.00; 2018: $559,195.00; 2019: $531,327.00; 2020: $255,889.50)

QQ D. Keith, S. Phinn, R. Elith, D. Warton, D. Connolly, Advancing vegetation classification and mapping to meet conservation needs (2015: $72,331; 2016: $178,128.50; 2017: $205,797.50; 2018: $100,000)

ARC Discovery Grants

ARC – DECRA

QQ J. Dick, F. Kuo, I. H. Sloan, B. Giles, M. Griebel, Quantifying uncertainty: Innovations in high dimensional computation (2015: $140,000; 2016: $115,100; 2017: $120,000)

QQ D. Zanin, A new concept of independence in noncommutative probability theory (2015: $100,000; 2016: $100,000; 2017: $100,000)

QQ G. Froyland, M. Dellnitz, O. Junge, A. Quas, Discovery and tracking of coherent structures in geophysical flows (2015: $85,000; 2016: $81,500; 2017: $85,000)

Cancer Australia QQ R. O’Brien, G. Froyland, J-J. Sonke, P. Keall, Reducing thoracic imaging dose and improving image quality in radiotherapy treatments (20152017: $458,459) through the University of Sydney

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— ACADEMIC EXCELLENCE Our Research

UNSW Goldstar Award

Faculty Research Grants

QQ M.L. Banner, A new dimension in quantifying fundamental air sea fluxes ($30,000)

QQ C. Angstmann, Anomalous diffusion models for reactions within biological cells ($5,000)

QQ A. Coster, Insulin action: the mathematics of metabolism ($30,000)

QQ T. Britz, Demi-matoids and Tutte polynomials: The next chapter on matroids and codes ($5,000)

QQ M. Holzer, Revealing the Southern Oceanâ&#x20AC;&#x2122;s changing connection with the atmosphere ($30,000)

QQ A. Cai, Mathematical modeling of mitochondria mutations ($5,000)

QQ T. Tran, Novel Approaches for QQ F. Chen, Testing for the exisProblems with Uncertainties tence of excitation effects in ($30,000) recurrent event data ($8,000)

Faculty Silverstar Award QQ M. Voineagu, Equivariant motivic cohomologies ($25,000)

Early Career Research Grants

QQ P. Del Moral, Advanced Monte Carlo algorithms in Statistics and computational Physics ($5,000)

QQ Q. Le Gia, Meshless methods for direct and inverse problems on spheres and surfaces ($8,000) QQ G. Li, Splitting methods for nonconvex structured optimization problems: Convergence Analysis and Applications ($5,000) QQ T. McDougall, Ocean mixing processes: innovation in oceanographic methods ($5,000) QQ S. McNamara, Robustness of biochemical oscillations to intrinsic and extrinsic fluctuations ($5,000)

QQ J. Olivier, Improved methods for estimating causal effects from population-based intervention such as mandatory QQ J. Du, Quantum linear and helmet legislation and gun queer superalgebras and their use restrictions ($5,000) representations ($5,000)

QQ S. Penev, Frontiers in inferQQ Y. Fan, Fast, approximate QQ Z. Botev, Can we estimate ence about risk ($5,000) Bayesian methods for dynamthe volume of irregular polytoic positron emission tomograpes? ($4,980) QQ S. Sisson, Statistical methphy ($5,000) ods for very large datasets: QQ L. Li, Small time and large Models for approximate data QQ G. Geenens, Flexible estistrike asymptotic for implied ($5,000) mation of multivariate densivolatility in the Heston model ties combining pair-copula ($6,700) QQ N. Wildberger, Conics and construction and innovative inversions in hyperbolic genonparametric assessment QQ A. Ostafe, Unlikely Intersecometries ($5,000) of dependence structures tions in Algebraic Dynamical ($5,000) Systems over Finite Fields ($6,700) QQ V. Jeyakumar, Multiobjective optimization in the face of QQ P. Straka, Extreme value data uncertainty ($5,000) statistics for unevenly spaced observations ($6,700) QQ S. Keating, Unravelling the submesoscale: New methods QQ J. Wang, An assessment for deriving enhanced satellite of compulsory cycle helmet observations of the ocean legislation in New Zealand ($5,000) ($6,700) QQ J. Wishart, Practical tools for wavelet estimation in multichannel noisy deconvolution models ($6,700)

QQ J. Kress, Applications of the algebraic variety of superintegrable systems ($5,000)

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; ACADEMIC EXCELLENCE Our Research

ARC Centre of Excellence for Mathematical & Statistical Frontiers (ACEMS)

Our School is an enthusiastic member of ACEMS: the Australian Centre of Excellence in Mathematical and Statistical Frontiers. We have hosted a node of ACEMS since 2014. ACEMS involves researchers (Masterâ&#x20AC;&#x2122;s, Honours and PhD students; postdocs and academics) from seven Mathematics and Statistics departments around Australia (Adelaide, Melbourne, Monash, QUT, UNSW, UQ and UTS) who are working together to solve challenging problems involving complex data and models. Understanding and modelling contemporary forms of data, building new kinds of stochastic and statistical models, taking advantage of advances in computing power to develop algorithms to fit otherwise intractable models, and developing frameworks to make informed decisions in real-world industry problems is just some of the research being undertaken.

Several of our School members are involved with ACEMS: Professor Scott Sisson, ACEMS Deputy Director, Chief Investigator Dr Xuhui Fan, Research Fellow Dr Boris Beranger, Associate Investigator Dr Yanan Fan, Associate Investigator Jiaxhin Chen, MRes Student Igor Balnozan, PhD Student Joshua Bradley-Bevan, PhD Student Vincent Chin, PhD Student Jaslene Lin, PhD Student James Totterdell, PhD Student Tom Whitaker, PhD Student Yu Yang, PhD Student Head to www.acems.org.au to find out more!

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; ACADEMIC EXCELLENCE Our Research

Research with SOCIAL IMPACT Many of our staff members are involved in research which focuses on beneficial social and environmental outcomes. Much of this research has attracted generous funding and has been featured in prominent journals. Here we spotlight a small sample of this research, and its impact to date.

Jake Olivier â&#x20AC;&#x201C; Statistics for road safety Aim of research: Determine the effectiveness of bicycle helmets to mitigate cycling head injury and the impact of bicycle helmet legislation; develop statistical methods for assessing road safety interventions; develop heuristic methods for determining the importance of effect size measures. Mathematics used: Multivariate meta-regression, derivation of relative effect sizes, derivation and estimation of regression to the mean for count data, multiple imputation of missing data, interrupted time series for counting processes. Funding: ARC Discovery $423,500; Transport for NSW $186,145; Queensland Department of Transport and Main Roads $138,669; Trafikverket (Swedish Transport Administration) $188,000; Liikenneturva (Finnish Traffic Safety) $1608. Outcomes & impact: 18 papers total in over 11 publications, including the International Journal of Epidemiology.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; ACADEMIC EXCELLENCE Our Research

Credit: Mark Graham

David Warton – Biodiversity Aim of research: Novel approaches to fine-scale climate mapping and applications in biodiversity estimation; novel approaches to vegetation modelling. Mathematics used: Multivariate and regression analysis – methods to predict species occurrence as a function of climate, and methods to jointly model a community of species, taking into account species interactions. Funding: Professor Warton has been Chief Investigator on two Linkage grants (2010-13 and 201518) worth $950,000. Outcomes & impact: Results include new techniques for fine-scale climate mapping from data loggers, methods to identify microrefugia that might moderate climate change impacts on biodiversity, methods to account for uncertainty in climate maps when modelling biodiversity, improved (model-based) approaches to vegetation classification, and planning for a new state-wide vegetation classification map for NSW.

Catherine Greenhill and Thomas Britz – Criminology Aim of research: To mathematically analyse criminal drug networks to determine their structures, vulnerabilities and resiliencies, and to provide law enforcement agencies with dynamic strategies for efficiently disrupting these networks. Catherine Greenhill started a collaboration with David Bright and Alison Ritter, both at the UNSW School of Social Sciences (Bright has since left UNSW), and Carlo Morselli. Later, Thomas Britz joined the project. Mathematics used: Graph theory and computer modelling is applied to empirical network data. Funding: D.A. Bright, C.S. Greenhill, A. Ritter, C. Morselli, Illicit drug trafficking: the structure of illicit networks and implications for resilience and vulnerability (2012: $65,000; 2013: $44,000), through UNSW Faculty of Medicine. Outcomes & impact: A series of papers published in Global Crime and The Journal of Contemporary Criminal Justice show how law enforcement methods of dealing with criminal drug networks can be improved, reducing the amount of arrests needed to disrupt a criminal drug network from roughly 75% of its members to only 15-20% of its members. This research is being further refined and will be presented, together with a user-friendly app for law enforcement agencies to use in practice, at two major criminal networks conferences in late 2018 where national and international law enforcement agencies will attend and are expected to show interest.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— ACADEMIC EXCELLENCE Our Research

Gary Froyland - Optimising radiotherapy treatments

Moninya Roughan - Sustainable lobster fisheries management

Aim of research: To obtain improved radiography images with lower dose for cancers that cannot be immobilised, e.g. on the lungs or near the heart.

Aim of research: A unique, integrated approach to predicting fisheries recruitment, to allow the first predictions of larval survival and settlement in a region of accelerated ocean warming, and to provide critical information for sustainable fisheries management into the future.

Mathematics used: Discrete optimisation (making large numbers of discrete decisions, such as when to irradiate and how to move the x-ray gantry around the patient). Funding: Cancer Australia grant 2015-2017. A second Cancer Australia grant commenced from 2017 and an NHMRC grant will commence from 2019. Outcomes & impact: The research has proven the benefit of the optimisation on synthetic, but realistic patient scenarios. Received agreement from one of two major international suppliers of the multimillion-dollar x-ray machines to install software developed as part of the project, to ensure (future) clinical benefit. Clinical trials of algorithms to start late 2018/early 2019.

Mathematics used: Numerical (hydrodynamic) modelling of ocean circulation combined with Lagrangian particle tracking (advecting particles within the ocean model to simulate the transport of lobster larvae), statistical techniques to analyse the model output and to assess the results. Funding: ARC Linkage grant $220,000; NSW Primary Industries $90,000; University of Auckland $30,000; NSW Department of Primary Industries $851,065 in-kind. Outcomes & impact: The team demonstrated that predicted warming in the East Australian Current favours the development of rock lobster larvae, but that increased poleward transport is driving a 300km southward shift in their settlement peak. This was the first study to investigate the combined impact of ocean temperature increases and climate driven changes in circulation. These results may have significant consequences for fisheries management, and eventually the livelihoods of seafood sector stakeholders. The work was expanded to look at future scenarios of connectivity among marine protected areas to assess their future viability in a hotspot of ocean warming. Through Lagrangian connectivity modelling under climate change scenarios, climate change impacts on the dispersal and survival of larval species are being investigated. Publications by A/Prof Moninya Roughan, Dr Paulina Cetina-Heredia, and team have been featured in Global Change Biology.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; ACADEMIC EXCELLENCE Our Research

Jakub Stoklosa – Wildlife conservation Aim of research: The mountain pygmy possum (Burramys parvus) is one of Australia’s most threatened marsupials, located in only three main regions of Australia. A small population of possums located in Mt Buller, Victoria, have been in sharp decline since 1996 due to various reasons, such as depletion of genetic variation, climate change and human disturbances. To conserve and increase the population size, habitat restoration, environmental protection and a genetic recovery program were implemented in the last decade. The genetic recovery program involved the translocation of a small number of male possums (originally from Mt Hotham, Victoria) to mix in with the Mt Buller population.

Outcomes & impact: After the successful translocation of possums to Mt Buller, a rapid recovery in the target population translated to population growth, healthy breeding and improved survival rates over the last seven years. In fact, the adult population is now 68% larger than when this population was first discovered in 1996. Very few studies around the world have been able to achieve this with threatened species and reproduce such successful results. This project was shortlisted for a 2018 Eureka Prize (Environmental Research category).

Collaborators included Andrew R. Weeks (team leader), Dean Heinze, Louise Perrin, Ary A. Hoffmann, Anthony van Rooyen, Tom Kelly and Ian Mansergh. Mathematics used: Dr Stoklosa’s role as a statistician was to provide reliable and accurate estimates of mountain pygmy possum abundances using statistical methods (known as capture-recapture methods) and recapture data collected over 20 years. Funding: Australian Research Council Discovery grant scheme, Mt Buller Mt Stirling Resort Management Board, FAME Ltd, and the Department of Sustainability and Environment Victoria.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— ACADEMIC EXCELLENCE Our Research

Peter Straka and Thomas Britz – Big data in medicine

John Murray - Applying maths to better understand and overcome disease impact

Aim of research: To develop mathematical methods for determining the network structure of medical GP centres from GP-patient data. Peter Straka and Thomas Britz collaborated with Louisa Jorm, Foundation Director of the Centre for Big Data Research in Health at UNSW Sydney, and members of her group (Bich Tran, Michael Falster, Kirsty A Douglas).

Aim of research: To determine the impact of infectious diseases such as HIV, on the community as well as on the infected individual.

Mathematics used: Graph theory and non-parametric Bayesian inference. Extensive Markov-chain Monte Carlo algorithms were run on UNSW Science’s high-performance computing cluster, which processed over 100 million rows of electronic medical health record data. Funding: Dr Straka was supported by a Discovery Early Career Researcher Award by the Australian Research Council. Outcomes & impact: A research paper was published in the Medical Journal of Australia (MJA), and a podcast with Prof Louisa Jorm and Dr Michael Falster was featured on the MJA homepage. The paper presented a novel network-modelling method that was used to analyse Medicare Benefits Schedule big data, making it possible to identify individual GP clinics connected through a high number of shared patients. This has ground-breaking implications for public health: researchers can now tackle questions like “what are the characteristics of a good GP practice?”, and the answers can inform policy makers to design better GP clinic structures, leading to improved national health outcomes.

Mathematics used: Mathematical modelling, differential equations, optimisation, statistics, bioinformatics, computing. Funding: Large grants over the last 10 years: Calimmune $270,000; NHMRC Project $1,050,712; AusAid $1,091,675; ARC Linkage $700,000; ARC Discovery $582,478. Outcomes & impact: Mathematical research through five projects over the last 10 years had impact on: determining and implementing measures to limit the transmission of HIV in Papua New Guinea; improving the design of two clinical trials aimed to reduce the spread of HIV; determining targets for HCV therapy and HIV vaccines; providing mathematical measurements needed to assess the effectiveness of microbicides in offering barrier protection against HIV to women.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— ACADEMIC EXCELLENCE Our Research

Daniel Mansfield and Norman Wildberger unlock ancient mathematical mystery

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; ACADEMIC EXCELLENCE Our Research

Dr Daniel Mansfield and Professor Norman Wildberger’s research was thrust into the media spotlight in August 2017 when their paper “Plimpton 322 is Babylonian exact sexagesimal trigonometry” was published in Historia Mathematica.

“The huge mystery, until now, was its purpose - why the ancient scribes carried out the complex task of generating and sorting the numbers on the tablet.

Their study traced the origins of trigonometry to the Old Babylonian era, between the 19th and 16th centuries B.C.E. - well over a millennium before Hipparchus is said to have fathered the subject with his ‘table of chords’. The main piece of evidence comes from the most famous of Old Babylonian tablets: Plimpton 322.

“The tablet not only contains the world’s oldest trigonometric table; it is also the only completely accurate trigonometric table, because of the very different Babylonian approach to arithmetic and geometry”.

“Plimpton 322 has puzzled mathematicians for more than 70 years, since it was realised it contains a special pattern of numbers called Pythagorean triples,” said Dr Mansfield.

“Our research reveals that Plimpton 322 describes the shapes of right-angle triangles using a novel kind of trigonometry based on ratios, not angles and circles. It is a fascinating mathematical work that demonstrates undoubted genius.

Numerous stories on the research appeared across the local and international media.

Professor Norman Wildberger

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— ACADEMIC EXCELLENCE Our Research

FELLOWSHIPS ARC FUTURE FELLOWSHIPS

Fellow of the Royal Society of NSW

Scott Sisson, Frontiers in Data Science: Analysing Distribution as Data (2017-2021: $1,001,192)

Trevor McDougall Chris Tisdell

David Harvey, Counting points on algebraic surfaces (20162020: $805,056)

Fellow of the CSIRO Trevor McDougall

ARC AUSTRALIAN LAUREATE FELLOWSHIPS

Fellow of the Australian Meteorological and Oceanographic Society

Professor Fedor Sukochev (2017)

Trevor McDougall

Scientia Professor Trevor McDougall (2015)

Fellow of the Royal Statistical Society

SOCIETY FELLOWSHIPS Fellow of the Royal Society Trevor McDougall

Fellow of the Australian Mathematical Society Michael Cowling; Ian Doust; James Franklin; Bruce Henry; David Hunt; Igor Shparlinski; Ian Sloan; and Chris Tisdell

Fellow of the Australian Academy of Science Michael Cowling; Fedor Sukochev; Trevor McDougall; Colin Rogers; Igor Shparlinski; and Ian Sloan

Fellow of the Australian Institute of Physics Bruce Henry Ian Sloan

Scott Sisson

Fellow of the Institute of Physics (UK) Trevor McDougall Colin Rogers

Fellow of the American Mathematical Society Ian Sloan

Fellow of the Society of Industrial and Applied Mathematics Ian Sloan

Fellow of the American Statistical Association William Dunsmuir Susan Wilson

Fellow of the American Geophysical Union Trevor McDougall

Fellow of the Institute of Mathematical Statistics (U.S.) Susan Wilson

Fellow of the American Meteorological Society Michael Banner

Fellow of the Australian Bioinformatics and Computational Biology Society Susan Wilson (Honorary Senior Fellow)

We are the only School in the UNSW Faculty of Science with two ARC Laureate Fellows, also equal first nationally for the greatest number of Laureate Fellows in a school of mathematical sciences.

Fellow of Higher Education Research and Development Society of Australasia Chris Tisdell

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; ACADEMIC EXCELLENCE Our Research

OUR STUDENTS

report s

Report from Director of First Year, Jonathan Kress

Mathematics, as the language of the sciences, forms an essential foundation for the studies of many university students and the School of Mathematics and Statistics welcomes a large and growing number of students in their first year at UNSW, in fact, more than 4000 students in each semester. The School offers a range of first year courses to prepare students for further study in mathematics or equip them with the mathematical skills needed in their chosen discipline. In our largest courses, MATH1131 Mathematics 1A and MATH1231 Mathematics 1B, we now have about 2000 students in semesters 1 and 2 respectively. These courses are the mainstay of Engineering and Science students who need some further mathematics in second year. We have recently revamped the way we teach these to offer more flexibility and interactivity though online tutorials, while also maintaining traditional lecture and tutorial classes where students experience personal face-to-face teaching, which is still as important as ever for students adapting to the new and challenging University environment. Students without the necessary background to enter our main first year offerings can brush up their skills with either our Bridging Course or MATH1011 Fundamentals of Mathematics. These are both undergoing a digital facelift so that they can be offered more flexibly to students before they arrive at UNSW and allow them to hit the ground running.

Our fastest growing first year course is MATH1081 Discrete Mathematics. This is no surprise as since, while this has always been a core course for students majoring in Mathematics, it is also the basis of many applications in Computer Science and Software Engineering. We have recently added a set of high quality video lectures to complement the traditional theatre style lectures. MATH1031 Mathematics for Life Sciences provides mathematical techniques used for modelling the world, particularly biological systems, and this also is expected to be a growth area in the future. This course concentrates more on immediate applications and mathematical communications skills that students can use straight away in other courses. MATH1041 Statistics for Life and Social Sciences is a companion of MATH1031 for many students and others beyond as an essential part of the toolkit for any scientist and sees more than 1000 students each year. Another significant group of first year mathematics students is found in the Actuarial Finance stream with MATH1151 and MATH1251. These are challenging courses and set these students up for success in their highly quantitative discipline. Many of these students have chosen this degree because of their love of mathematics and combine this with further study in higher levels of Mathematics. Here in Mathematics and Statistics we thoroughly enjoy seeing such a large and diverse cross-section of first year students, and judging by student feedback â&#x20AC;&#x201D; with most courses well into the 90% satisfaction range â&#x20AC;&#x201D; these students enjoy their time with us.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017 â&#x20AC;&#x201D; OUR STUDENTS

Report from Director of Undergraduate Studies, John Steele

As Director of Undergraduate Studies, my direct responsibility is for all Mathematics and Statistics second and third year courses and all of our undergraduate streams. But I am also involved in overseeing assessment standards and practices, and am generally responsible for ensuring staff follow the School, Faculty and University policies on all issues to do with the administration of teaching and welfare of students, as well as ensuring the School’s policies and procedures conform to the University’s. I have been a regular respondent to the University on draft policy and procedures, mainly on academic matters, but also on wider issues that impact the School and Faculty. Most of the detailed administration work attached to my position is done by the School’s Student Services team, but I am generally responsible for overseeing their work in the undergraduate area. I am also heavily involved in advising students on courses and study plans, and am responsible for approving transfer credits and assessing incoming and outgoing exchange applications. My position requires me to liaise with the Faculty of Science and other key Faculties (especially Engineering and ASB) on our teaching, streams and programs. I represent the School on the Science Teaching and Quality Committee and regularly attend the Engineering Programs Committee.

MathsStats teaching The School of Mathematics and Statistics at UNSW has among the largest student enrolments in the institution: in 2017 we taught over 9500 individual students across all years, the equivalent of over 1900 full-time students. We have had a large increase in our student numbers: in each of the last two years the School’s teaching numbers have grown by slightly over 10%. Most of this growth has come from first year courses and second year servicing courses, but we continue to show growth in the number of students choosing to major in mathematics and/or statistics. In 2017 we introduced a new degree, the Bachelor of Data Science and Decisions, in answer to strong industry demand for graduates in this area. We teach over 90 courses, ranging from first year courses for students who have enrolled with only HSC 2-unit maths, to advanced courses at honours and master’s level. We have a long-standing tradition that all our academic staff teach at all levels, and we typically move staff between courses every few years. This ensures staff do not become stale and that all staff are capable of assisting students in a wide range of courses. The quality of our teaching is reflected in our excellent rating from student surveys: UNSW Mathematics and Statistics has a long-standing policy of surveying each course we run every time we run it and we take care to immediately identify and rectify those rare issues that arise. Our staff have also won several recent awards for teaching excellence. We see many transfers from other institutions, attracted by our range of courses and teaching quality, and attract a good number of exchange students keen to take our courses.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017 — OUR STUDENTS

Report from Learning and Teaching Committee Chair, Diana Combe

report s

The Learning and Teaching Committee consists of the Directors of First Year and of First Year Computing, the current Teaching Fellow, the coordinators of the Schoolâ&#x20AC;&#x2122;s Mathematics Drop-In Centre, representatives from the Online Teaching Committee and from each Department within the School of Mathematics and Statistics (and occasionally others). The Committee is concerned with many aspects of the day-to-day teaching within the School. Through our irregular but well attended seminars and post-seminar refreshments we promote the vigorous discussion of all things teaching and learning related - from assessment practice to the use of technology, from issues of aesthetics to issues of equity, from pedagogy to philosophy. We take responsibility for assessing applications to tutor within the School and for mentoring new tutors. We oversee the Mathematics Drop-In Centre where first and second year students can get help in coursework from more senior students - a fabulous resource for those attending and a wonderful experience for the tutors. With the new curricula in Mathematics for Secondary Schools in the state of NSW, the committee has been heavily involved in constructing responses to the successive drafts to the syllabus and are now producing Professional Development resources for school teachers to prepare them for teaching the new coursework material.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017 â&#x20AC;&#x201D; OUR STUDENTS

Two of our students took out the top prize in the EY Data Science Challenge. Undergraduate students Jacky Koh (Actuarial Studies, majoring in Stats) and Saksham Yadav (Bachelor of Data Science + Decisions) each won a cash prize and EY internships. 374 competitors from across the country participated in the challenge in May 2018, which required them to use data science and analytics techniques to understand the key drivers and influencers of quality of life measures globally, and to predict relationships between macro trends, education and quality of life. Impressively, Jacky and Saksham were the only undergraduate students among the finalists. (Pictured above, L-R: Saksham Yadav & Jacky Koh)

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017 â&#x20AC;&#x201D; OUR STUDENTS

advanced maths

Advanced Mathematics Day In 2017 we held our sixth annual Advanced Mathematics Day in the Galleries at UNSW’s John Niland Scientia Building. The program for this full-day event includes tailored sessions for students of different stages.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017 — OUR STUDENTS

First and second year Advanced Mathematics students are invited to attend a morning session, “Choosing Your Major”, featuring a welcome from Head of School Bruce Henry, talks from each Head of Department giving an overview of the different majors, and a presentation from a current Honours student recounting their Honours year experience. Representatives from MathSoc are then invited to say a few words about their Society, encouraging the attending students to get involved. After morning tea, third and fourth year Advanced Maths students, along with Maths and Stats majors, are invited to a special Honours information session, “Choosing Your Honours Project”. An overview of the Honours year is given by our Honours Director, followed by a panel discussion with current and former Honours students fielding questions from the audience. Next are several three-minute flash presentations by School members about potential Honours project offerings, before the group breaks for lunch on the Scientia Lawn.

A “Beyond Your Maths Degree” afternoon session is held for our Honours, Masters, and PhD student cohorts, and traditionally features presentations from alumni, industry representatives, and our research academics. After final words from Professor Henry, students and speakers are treated to a drinks happy hour in the Scientia to wrap up the day. During the event, we confer our annual School of Mathematics and Statistics Honours Award to the highest performing Advanced Mathematics student from the preceding semester, who is intending on undertaking Honours the following year.

Advanced Mathematics Honours Award recipients: 2017: Gary Liang 2016: Brendon Lai 2015: Daniel Altman

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017 — OUR STUDENTS

a dvanced mathematics

Advanced Mathematics Program Our Advanced Mathematics degree is our premier program for talented mathematics students. Students who complete this program will become capable of developing new mathematics, to add to core mathematical knowledge, or to solve important real-world problems. The program combines advanced coursework with an Honours-level research project. Our students have access to state-of-the-art facilities and innovative teaching. Advanced Mathematics is a four-year degree, but several students in the program opt to undertake dual degrees with Commerce, Arts, Computer Science, Law or Engineering, which vary between five and six years of study. The Advanced Mathematics program is divided into several plans of study. The Applied Mathematics Plan provides mathematical and computational skills for innovative applications to all areas, as well as the capability to construct, analyse and interpret mathematical descriptions. The Pure Mathematics stream helps to foster a deep understanding of the fundamental structures and relationships of mathematics, providing students with the ability to formulate theories which may transcend specific applications. Advanced Statistics develops the ability to use factual material for modelling and inference, exploring the fundamental theories behind the handling of uncertainty and risk.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017 â&#x20AC;&#x201D; OUR STUDENTS

Daniel Altman, Advanced Mathematics Honours in Pure Mathematics It is a laboured point that in maths - and its solutions, ideas and proofs - lies elegance, creativity and insight. A mathematician (or an aspiring one) is privy to these ideas and has the opportunity to appreciate them. In some ways this makes maths a lonely pursuit: you don’t need to be a footballer to appreciate a great goal, and most people can appreciate a Picasso without being an artist (or at least they pretend to), but for maths you really need to be able to speak the language. This makes it harder for people to relate to a passion for maths, whereas I think it’s really quite natural.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017 — OUR STUDENTS

data scien ce

Bachelor of Data Science and Decisions introduced in 2017 In 2017, we introduced the Bachelor of Data Science and Decisions, a unique multidisciplinary program aiming to equip students with skills in mathematical methods, statistics, computing, business decisions, and communication. The Bachelor of Data Science and Decisions harnesses the expertise of educators across three different Schools at UNSW: Mathematics and Statistics; Computer Science and Engineering; and the UNSW Business School. This new degree was established to meet the growing demand for Data Scientists and Analysts in the Sydney region, nationally and internationally. The three-year program comprises a central core course requirement and features three separate streams of study: Quantitative Data Science, Computational Data Science and Business Data Science.

“My experience of

the Data Science degree has been fabulous so far. I have learnt so many interesting things on a large variety of topics from computer science, maths and economics/business. They have all been incredibly interesting and fascinating, broadening up an entire new way of thinking for me. One of the highlights of the program is the vast scope of knowledge that we are exposed to, which I believe is incredibly useful in the modern world. We live in a world of technology, which revolves around economics, but is all underpinned by maths and numbers. This program covers all three major areas, which are incredibly useful to contribute to society. I cannot wait to land a job in the data science field where I can apply all of my knowledge and practical skills.” – Serena Xu, Bachelor of Data Science and Decisions student, and Data Science and Decisions Ambassador

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017 — OUR STUDENTS

Left: Data Science and Decisions Ambassadors, L-R: Binyu Chen, Xinyu Xu, Kate Wu, Grace Nguyen, Jessica Boyle, Serena Xu, and Vienna Lu.

Data Science and Decisions Ambassador Program There is a significant under-representation of female students in STEM programs at University, so we saw an opportunity to increase female participation and attempt to get the balance right from the start. The primary role of a Data Science and Decisions Ambassador is to assist with the promotion of the Bachelor of Data Science and Decisions program, and particularly to encourage female participation in this program.

Above: Data Science and Decisions Ambassadors with representatives from SAS at Women on Mars event at the Sydney Opera House, August 2017.

To coincide with the new degree, the School of Mathematics and Statistics established a Data Science and Decisions Ambassador program, offering several ambassador roles to female students coming into Data Science and Decisions and majoring in Quantitative Data Science.

Ambassadors are also involved in outreach and publicity activities within the School of Mathematics and Statistics. Ambassadors are provided with a stipend to assist them with their studies. The Data Science and Decisions Ambassador program is accredited by UNSW Advantage, and studentsâ&#x20AC;&#x2122; participation is listed on their Australian Higher Education Graduation Statement.

Rachel Ha, Grace Nguyen and Binyu Chen at an outreach event during Science Week.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017 â&#x20AC;&#x201D; OUR STUDENTS

Online Learning

The School of Mathematics and Statistics continues its tradition of teaching excellence in the digital age. In 2015 we piloted a new program that used a combination of YouTube videos and interactive online exercises together as an ‘Online Tutorial’. The Online Tutorials helped students to understand the concepts from lectures by re-introducing the concepts from a computational, graphical or sometimes historical perspective. After the success of the pilot program, the Online Tutorial system was rolled out to all Mathematics 1A and 1B courses in 2016. That year also saw the introduction of exam revision live streaming on YouTube. This allows the School to help students prepare for exams when they are off campus during the study period. The exam revision live streams are among the most watched videos on the School’s YouTube channel, and are very popular amongst students. In 2017, Shane Keating partnered with the Office of the Pro-Vice Chancellor for Education at UNSW to develop the School’s first fully online lecture course, MATH2018 Engineering Mathematics, as part of UNSW’s Inspired Learning Initiative. This project involved a major effort to replace in-person tutorials with online “gamified” tutorials using Smart Sparrow that use adaptive learning pathways and Keller’s (1968) concept of mastery learning. The course also featured videos of Shane explaining mathematical concepts “in the field” - on Bondi Beach, at NASA’s Jet Propulsion Laboratory, and even in a wind tunnel! The online course ran for the first time in S1, 2018, and received strong positive evaluations from students.

Instead of resting on our laurels, in 2017 we piloted a new Online Tutorial system targeted towards giving students customised feedback. The student response to this particular format of online delivery was extremely positive and was matched by an increase in student grades overall. In addition, the School has used the flexibility of online education to offer accredited professional development courses for high school teachers in NSW and the ACT. These courses, which have been completed by hundreds of high school educators, are delivered via OpenLearning and cover enrichment and the new topics in the upcoming stage 6 high school mathematics syllabi. While several new initiatives in online education have been piloted over the last few years, the School’s YouTube channel has remained the silent workhorse, delivering over 100,000 hours of content. Many members of staff have followed in the footsteps of the School’s YouTube superstars Norman Wildberger and Chris Tisdell - but Daniel Chan and John Steele deserve special mentions. Daniel Chan has started his own channel and series, “Adventures in Pure Mathematics”, and John Steele’s series on Complex Analysis are by far the most popular videos on the channel.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017 — OUR STUDENTS

Group of Math 1B students watching a revision live stream, Semester 2 2016

Daniel Mansfield, exam revision live streaming

John Steele, School YouTube channel

Shane Keating, teaching online course MATH2018

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017 â&#x20AC;&#x201D; OUR STUDENTS

Students in the Spotlight

studen t s

Gary Liang (Advanced Mathematics) was presented with the Advanced Mathematics Honours Award at Advanced Mathematics Day in September 2017.

Gordana Popovic (PhD) won the award for Outstanding Student Talk at the International Statistical Ecology Conference in Seattle in June 2016.

Thais Rodrigues (PhD) was awarded the 2016 EJG Pitman Prize at the Australian Statistical Conference. The EJG Pitman Prize is awarded for the most outstanding talk presented by a ‘young statistician’. Thais also won the 2016 J.B. Douglas Award at the Statistical Society of Australia’s 17th annual J.B. Douglas Postgraduate Awards Day.

Ashish Goyal (PhD) was selected for an AUSTMS Lift-off Fellowship shortly after his thesis was approved. In late 2016 he took up a position as a Postdoctoral Fellow at the Los Alamos National Laboratory, U.S.

Isaac Donnelly (PhD) won a prestigious Fulbright Scholarship. He was one of just 11 Fulbright postgraduate scholars selected in 2015, and the only UNSW postgraduate recipient.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017 — OUR STUDENTS

Himmat Panag (right)(B Engineering (Aerospace)/B Science, Mathematics) took out first place in the 4th Mission Idea Contest in Bulgaria (2016), an international aerospace ideas competition, alongside two fellow UNSW students.

Daniel Altman (Adv Maths), Harry Crimmins (Adv Maths), and Gregory Karanikas (Adv Science, Maths & Physics) were included on the 2016 UNSW Science Dean’s List. The Dean’s List acknowledges and congratulates the highest level of undergraduate academic performance. This mark of distinction is acknowledged on a student’s University transcript, and with a certificate from the Dean of Science.

Anna McGann (PhD) won Best Student Talk at the Annual NSW/ ACT ANZIAM Meeting in November 2015 for her presentation “Generalising Epidemic Dynamics: Deriving a fractional SIR Model”.

Winners of the 2017 round of undergraduate prizes in the School of Mathematics and Statistics, L-R: Angus McLean-Smith, Robert Cantwell, Brittany Evat, Alan Loi, Marley Young, Guanting Liu, Matthew Bellamy, Rosa Tran, Ni Tao, Maisie Lee.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017 — OUR STUDENTS

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Student Societies

MathSoc The UNSW Mathematics Society is one of the largest societies at UNSW, with membership spanning from first year students to School staff. MathSoc’s goals include: Informing students of maths-related opportunities in their studies and careers, at university and beyond, with course info sessions and career-focused events; Enhancing the sense of community among UNSW maths students through various social events and activities such as BBQs and sports days; Supporting maths students in their studies with MathSoc’s extensive resources and informative forums.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017 — OUR STUDENTS

DataSoc The UNSW Data Science Society is Australia’s first Student Data Society! DataSoc aims to provide Data Science students with an inspiring, cohesive and creative experience, where students can learn more about data science practices. DataSoc was established in early 2017, shortly after the introduction of the Bachelor of Data Science and Decisions at UNSW. DataSoc’s goals include: Becoming Australia’s leading student-run society platform in assisting students on achieving their data science career goals; Informing members of data science-related opportunities in their studies and careers with course info sessions and career-focused events; Enriching the sense of community and diversity among UNSW data science students via various social activities such as BBQs, competitions and events; Supporting data science students in their studies with help sessions, workshops and peer mentors.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017 — OUR STUDENTS

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Where are they now?

Ashish Goyal

Thais Rodrigues

Degree: PhD (2016)

Degree: PhD (2017)

I graduated from UNSW in 2016 with a PhD (under Professor John Murray) focusing on the mathematical biology and epidemiology of hepatitis B and D viruses. My research work led me to a role as a postdoctoral research associate under renowned theoretical biologist Prof. Alan S Perelson at the Los Alamos National Laboratory, USA.

I finished my PhD in Statistics in early 2017 after four years of study under the supervision of Dr Yanan Fan at UNSW School of Mathematics and Statistics. I was funded by a Brazilian program called Science without Borders, and I returned to my home country shortly after enjoying a well-deserved holiday overseas.

In collaboration with researchers from Johns Hopkins, Heidelberg University and National University of Singapore, I am currently involved in projects aimed towards estimating the efficacy of several promising drugs being developed for the cure of hepatitis viruses in humans. In addition, I am also investigating the spatial properties of hepatitis viruses in order to exploit the weak points in their life cycle, which can then facilitate us in developing new drugs/vaccines and/or improving the efficacy of existing drugs.

Arriving in Brazil, I took back a civil servant position at the Centre for Natural Disaster Monitoring and Alert, where I used to work before starting my PhD. My job there was to manage and analyse natural disaster data, providing official statistics for the government to support their decisions. The Centre is in Brasilia, which is the Brazilian capital and my home city. I worked there for about six months, and at the end of 2017 I got a Lecturer position at the University of Brasilia (UnB).

I not only direct my energy and time in pursuit of a better understanding of the biology/immunology of these viruses, but also in finding the optimal strategies using currently available preventive measures to minimise the morbidity and mortality in highly endemic resource-constrained regions. I have authored more than 20 journal articles in the last five years, and have been the recipient of several prestigious awards such as an AustMS Lift-off Fellowship and an AMS-Simons Travel Grant. In the future, I plan to continue my work to help meet the WHOâ&#x20AC;&#x2122;s goal of the eradication of hepatitis viruses by 2030.

My first teaching term was a delightful experience; I took Statistics Introductory courses for Social Science and Engineering students. My experience tutoring similar courses at UNSW was surely very helpful in this transition, and I thank everyone there for this support. I also keep in contact with my adorable supervisor Dr Yanan Fan, and we are working together to publish more papers related to my PhD research. Now I am looking forward to continuing to learn in this academic career.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017 â&#x20AC;&#x201D; OUR STUDENTS

Chanduni Wijesinghe

Dorothy Cheung

Degree: Bachelor of Science/Bachelor of Commerce (Applied Mathematics Honours and Actuarial Studies) Graduated in 2015.

Degree: Advanced Mathematics/Commerce Honours in Pure Mathematics. Graduated in 2016.

Since graduating from UNSW with a double degree in Mathematics and Actuarial Studies I joined the graduate program at Quantium, a consulting firm specialising in data analytics. This program allowed me to get hands-on experience working with very large datasets and allowed me to apply things learned from my degree to real life problems. It also provided me with a good opportunity to learn new techniques in prescriptive analytics and apply them to provide practical and commercially sound solutions to real client problems. While working at Quantium I also continued to study by doing my Actuarial Part 2 exams, which allowed me to widen my skill set.

I am currently working as an Actuarial Analyst at Suncorp. Mathematical concepts that I learnt at university appear unexpectedly at work, and having a solid understanding of them from my time at UNSW is invaluable. Studying mathematics at UNSW was a great experience - not only did I gain knowledge on broad areas of mathematics, I met people who share similar interests. Higher level courses were especially interesting, with a wider range of courses available. I was also able to pick and choose courses according to my own interests. Classes were smaller and became more interactive, which allowed for ideas to be bounced around.

Since joining the graduate program I have remained at Quantium and am currently working with Woolworths Insurance to assist them with increasing their customer acquisition and reducing churn from their products using prescriptive analytics. In my spare time I am now studying the Actuarial Part 3 exams in order to achieve my goal of becoming a Fellow of the Institute of Actuaries Australia.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017 â&#x20AC;&#x201D; OUR STUDENTS

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Miriam Greenbaum

Wei Wu

Degree: Advanced Mathematics/Commerce Honours in Applied Mathematics. Graduated in 2018.

Degrees: Advanced Mathematics - Honours in Quantitative Risk (2012), and PhD (2016)

Completing my Honours in mathematics gave me the opportunity to really delve deep into a topic that I was passionate about. After reaching out to an industry contact, I was able to obtain a data set and choose my own Honours topic, ‘Using Random Forests to predict loan default’.

My passion for numbers led me to undertake a maths degree at university, and the reason that I chose UNSW is because of its good reputation in both teaching and research.

Throughout the thesis year, I received amazing support from my supervisor, who always had time to sit with me and nut out any tricky problems along the way. The logic and problem-solving skills I acquired throughout my degree gave me the ability to begin in whatever role I wanted after graduating, and I chose to begin as a Management Consultant at Ernst & Young.

After I completed my bachelor’s degree, I was at a fork in the road: to continue my study or to work in the industry. Eventually, I decided to undertake a research degree and again I chose UNSW. There are many reasons why I wanted to stay at UNSW, and perhaps the most important one is the good teaching quality that I experienced while I was taking my undergraduate study. Now, I am working as a Research Associate in the School of Mathematics and Statistics at UNSW. One day I may have to leave UNSW, but those learning and working experiences will definitely be a valuable asset for my future career.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017 — OUR STUDENTS

The School of Mathematics and Statistics to host AMSI Summer School 2019 The School of Mathematics and Statistics is excited to host the 2019 AMSI Summer School in the Mathematical Sciences. The four-week residential school will be held in January-February and will feature eight intensive courses delivered by four of our staff members – Fedor Sukochev, Galina Levitina, Shane Keating and Zdravko Botev – along with academics from several Australian universities. Primarily targeted at honours and postgraduate students in the mathematical sciences and related disciplines, the AMSI Summer School provides students from across Australia with the opportunity to develop their mathematical skills, meet like-minded people, and network with potential future employers. The annual AMSI Summer School is the biggest national event for maths students in Australia.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017 — OUR STUDENTS

conference

Annual Postgraduate Conference

The School of Mathematics and Statistics Postgraduate Conference was launched in 2014 by Postgraduate Research Director Professor David Warton. Held annually each June, the one-day event hosts student talks showcasing the diverse and innovative research flowing from our PhD cohort, and the schedule includes lengthier plenary sessions by students who have recently presented their work at overseas conferences. The 2015 event debuted a research poster competition, which has now become a permanent feature of the conference. The Postgraduate Conference is aligned with the Postgraduate Annual Reviews, so members of students’ review panel can get up to speed with what they have been working on in advance. The event gives students an excellent opportunity to practice research communication skills, to learn what their peers have been up to, and to receive feedback from a broader base of people in the School outside of the scope of their regular supervisory team. A prize-giving for standout students wraps up the Conference’s official proceedings, before participants join a post-event celebration on campus.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017 — OUR STUDENTS

Postgraduate Conference Prize-winners: 2017 Outstanding Talk Applied: Alec Gilbert Pure: Simon Macourt Statistics: Thomas Stindl Outstanding Poster Anna McGann

2016 Outstanding Talk Applied: Alec Gilbert Pure: Adam Mammoliti Statistics: Thais Rodrigues Outstanding Poster Carlos Enrique Aya Moreno

2015 Outstanding Talk Applied: Houying Zhu Pure: Galina Levitina Statistics: Guilherme Souza Rodrigues Outstanding Poster Austen Erickson Wanchuang Zhu Contribution Award (for contributions to the Postgrad and School community) Isaac Donnelly Austen Erickson

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017 â&#x20AC;&#x201D; OUR STUDENTS

Scholarships

sch olarsh ip s

Undergraduate Scholarships

Each year, the School of Mathematics and Statistics offers a number of Scholarships to students entering UNSW and enrolling in undergraduate programs of study including Mathematics or Statistics majors or study plans. Some of the Scholarships we offer include: The School of Mathematics and Statistics Indigenous Scholarship The School of Mathematics and Statistics Indigenous Scholarship aims to encourage and support Indigenous Australian students to undertake study in the School of Mathematics and Statistics at UNSW.

must be undertaking a Science/ Education degree with a declared major in Mathematics.

Honours Scholarships

We also offer several Scholarships to Honours students. Some The School of Mathematics and of these include: Statistics Rural Student Scholarship UNSW Honours Year Scholarships This Scholarship aims to encourage and support students from Each year ten honours scholarrural areas to undertake full time ships are awarded to students study in the School of Mathemat- who achieve an average Distincics and Statistics. tion in their respective undergraduate degree program. School of Mathematics and Statistics Honours Award Jim Douglas Award in Statistics Awarded to two students (one female and one male) identified This Award is to encourage by the Head of School in consul- outstanding students to undertation with a committee. Normally take full time study in the Faculty this will be the students with the of Science entering an Honours highest WAM in any Advanced Year Program in Statistics. Mathematics program at the end of Term 2 who will be enrolling in Paradice Honours Year ScholHonours in the following year. arship

The Beautiful Mind Scholarship The aim of this scholarship is to encourage female students to Awarded to two recipients each undertake an Honours program The School of Mathematics year (one female and one male). in the School of Mathematics and and Statistics Advanced Applicants will be assessed on Statistics. This scholarship will be Mathematics Scholarship academic merit; preference may selected on the basis of highest be given to applicants who were WAM in Mathematics and StatisAwarded to two students (one members of the Mathematical tics courses, for female students female and one male), based Olympiad, or who performed intending to enrol in an Honours on academic merit. Preferwell in the UNSW Annual School program in the School of Matheence may be given to appliMathematics Competition. matics and Statistics. cants who were members of the Mathematical Olympiad, Data Science and Decisions The Deanâ&#x20AC;&#x2122;s Honours Year or who performed well in the Scholarship Scholarship in Science UNSW Annual School MatheAwarded to one female and one matics Competition. This scholarship was established male recipient who are comto support outstanding students The School of Mathematics mencing full time study in the undertaking study at Honours and Statistics Teachers Bachelor of Data Science and level in the Faculty of Science. Scholarship Decisions. Recipients are selected on academic merit. This Scholarship aims to encourage and support students to pursue a career in teaching Maths. Students UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017 â&#x20AC;&#x201D; OUR STUDENTS

Carlos Rocha (PhD) won the Peter Holloway Oceanography Prize at the Australian Marine Sciences Association conference in Adelaide in July 2018. The prize is awarded to the best fulllength oral presentation related to Oceanography. Peter Holloway was a highly distinguished physical oceanographer, internationally recognised for his contribution to the observation, theory and numerical modeling of internal waves. Carlos is undertaking his research under the supervision of Associate Professor Moninya Rougan, focused on biogeochemical modelling of the Tasman Sea.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017 â&#x20AC;&#x201D; OUR STUDENTS

Mathematics Drop-in Centre The Mathematics Drop-in Centre is a teaching and learning initiative of the School of Mathematics and Statistics which has been operating since 2008. The Mathematics Drop-in Centre provides free one-on-one tutoring for first and second year students currently studying at UNSW. All tutors are mathematics students at UNSW (in third year or higher) and are required to meet certain criteria before being accepted as tutors. Catheryn Gray is the Coordinator of the Mathematics Drop-in Centre, while David Angell is the Academic Advisor.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017 â&#x20AC;&#x201D; OUR STUDENTS

Co-Op Program The UNSW Sydney Co-op Program offers Scholarships to students in Advanced Mathematics and Data Science and Decisions. These career development scholarships are worth $18,200/p.a. and provide opportunities for students to gain professional development and ‘realworld’ industry experience prior to graduation.

Jake Meyer

Clement Chiu

The Co-op Program has provided me with experiences I never would have had access to otherwise, and the exposure to Data Science in a world where the future of every company is based on data puts me miles ahead of my cohort.

The Co-op Program is a great program which allows students to develop professionally in the workplace. I was working in the Australian Securities and Investment Commission over the summer and I was working on a project where I was hands-on with state-of-the-art techniques in Natural Language Processing.

(awarded Advanced Mathematics Coop Scholarship in 2016)

The Co-op Program remains unparalleled across any other experience available to all uni students across Australia, and I am also far more comfortable financially than a lot of students my age due to the scholarship. It’s a win-win for everybody; UNSW, the Co-op scholars, and the companies we work for.

(awarded Data Science and Decisions Co-op Scholarship in 2017)

The work I have done in my placement in turn helped me immensely in my study, especially in the areas of statistics and A.I.

The Co-op Program revolutionises the university degree in its entirety; the security of having internships organised for you from the very beginning of your degree, the financial security you receive throughout your degree, and the security of having a full resume from when you graduate in comparison to many who don’t have this opportunity, is invaluable and has made my university experience far more fulfilling.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017 — OUR STUDENTS

Jessica Boyle

(awarded Data Science and Decisions Co-op Scholarship in 2017)

Vienna Lu

(awarded Data Science and Decisions Co-op Scholarship in 2017)

Data Science and Decisions Co-op Scholarship Recipients 2017 Vienna Lu Jessica Boyle Clement Chiu Daniel Cheng

My Co-op experience has given me the opportunity to meet other like-minded scholars who are also passionate about all things maths, coding, and problem-solving. The highlight of the Co-op Program for me (so far!) has been my summer internship where I got the opportunity to work as part of the PwC Data Assurance team. This placement gave me hands-on experience working on data-related projects using a variety of tools and techniques to visualise, manage and manipulate data.

Through the UNSW Co-op Program, I have been able to undergo enriching industry placements and mentoring programs to not only develop my technical skills, but to also further my personal development. This opportunity to connect with like-minded students and a broad range of individuals within industry has allowed me to extend my learning experience at university beyond just the classroom.

Advanced Mathematics Co-op Scholarship Recipients 2016 Jake Meyer Ryan Snoyman Claudia Wallis

As a result, I have been able to reinforce and develop my passion for data science and gain a broader understanding of the dynamic applications within industry.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017 â&#x20AC;&#x201D; OUR STUDENTS

SOCIAL ENGAGEMENT

outreach

MA:THS A partnership with Matraville Sports High School

MA:THS is a joint partnership with the School of Mathematics and Statistics and Matraville Sports High School. Several of our first-year UNSW maths students volunteer as tutors to share their knowledge and skills with Year 7 students at the high school. The partnership aims to equip these students with the tools and confidence to think mathematically and to approach problems. In the process, our tutors also benefit from their experience in utilising different teaching methods and strategies. Feedback from Matraville Sports High to this partnership has been overwhelmingly positive. The Matraville students relate remarkably well to our tutors, who exhibit enthusiasm and patience. Matraville’s maths teachers and their Head of Mathematics have been amazed to observe their students sitting quietly engaged with maths, and have remarked that the Year 7 students’ behaviour with our tutors was often the best of the week. The MA:THS program is organised by UNSW School of Mathematics and Statistics staff members Donna Salopek and Peter Brown.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— SOCIAL ENGAGEMENT

Professional Development for High School Educators

Spearheaded by our Director of First Year, A/Prof Jonathan Kress, the School of Mathematics and Statistics runs bi-annual Professional Development Days for high school teachers. The last few of these sessions have focused specifically on new topics in the current draft of the proposed HSC syllabuses for HSC Standard Mathematics, HSC Mathematics and HSC Mathematics Extensions 1 and 2. Subjects covered have included Networks and Paths; Critical Path Analysis; Vectors and Geometry; Randomised Assignments; Discrete Random Variables; and Thinking Statistically. Our PD Days often attract more than 100 participants, hailing from as many as 50 different high schools. Attendees are predominantly from within NSW, however some also join from out of state. We also offer a suite of accredited Online Professional Development Courses for high school educators, delivered through OpenLearning, which cover enrichment and the new topics in the upcoming Stage 6 Syllabus for high school mathematics.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; SOCIAL ENGAGEMENT

outreach

Parabola We are proud to publish the journal Parabola, to inspire and engage talented high school students with challenging mathematical problems and peer-reviewed articles on all areas and aspects of mathematics. The problems include those from the UNSW School of Mathematics Competition, which is the longest running mathematics competition for high school students in Australia, with hundreds of the top-talented students from NSW and ACT annually participating. Many of these students have been inspired to become professional mathematicians and statisticians, and many of the winners have joined the Australian team in the International Mathematical Olympiad. Since its inaugural publication in 1964, Parabola has flourished and is now one of the most-read mathematical journals for high school students in the world. As an online journal, it now engages an international readership that continues to expand. During the years 2015-2017 alone, the number of unique visitors to Parabolaâ&#x20AC;&#x2122;s webpages has nearly tripled, from 9,800 in 2015 to 27,000 in 2017, and the number of page visits has more than doubled, from 580,000 in 2015 to 1,300,000 in 2017. Editor of Parabola, Dr Thomas Britz (pictured)

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; SOCIAL ENGAGEMENT

Stats Central Stats Central is a statistical consulting unit established at UNSW in 2016 to provide university-wide support for staff and students during study design and analysis. It is funded through the research division, with the support of the School of Mathematics and Statistics and a growing suite of partner schools, to provide support for UNSW research students and staff in collaborative and consultative roles. A hub for biostatisticians and statistical consultants around campus, Stats Central is headed up by our own Professor David Warton, and Senior Statistical Consultant Dr Nancy Briggs. Located in the Mark Wainwright Analytical Centre, Stats Central is staffed by professionally accredited consultants with a breadth of expertise working with researchers across diverse disciplines. Stats Central offers statistical consultations for UNSW staff and students regarding all aspects of the research project. Study design advice is free for all UNSW researchers and all consulting ser-

vices are free for UNSW higher degree research students. It also runs intensive short courses on introductory statistics, study design, and regression analysis at heavily reduced rates for UNSW staff and students, and offers assistance with grant development and review. In 2017, Stats Central assisted with 400 UNSW research projects across 40 schools/units in eight UNSW faculties, reviewed 44 grants from 17 schools/units, and delivered eight short courses to over 150 attendees. Partners of Stats Central include: UNSW Schools: Graduate Research; Biological, Earth and Environmental Sciences; Biotechnology and Biomolecular Sciences; Optometry and Vision Sciences; Public Health and Community Medicine; and Women’s and Children’s Health. Other partners include St Vincent’s Clinical School and Prince of Wales Clinical School.

The launch of Stats Central, June 2016

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— SOCIAL ENGAGEMENT

outreach

High School Outreach

We are involved in several high school outreach initiatives and events throughout the year, to engage with young people and to give them an insight into the careers open to graduates of mathematics, statistics and data science. Our Maths and Stats marquee at UNSW Open Day has had a vibrant and fun atmosphere in recent years, drawing in hundreds of prospective students to chat with our staff and current students, and to participate in maths games and challenges. Prospective students are also encouraged to speak with our academic staff about programs at the Advisory Centre, and to attend our lectures such as the extremely popular MathSoc-run HSC Tips and Tricks sessions.

We were a participant in the UNSW Science Work Experience Program in 2015 and 2016, for which we developed a one-day schedule jam packed with maths activities for large groups of high school students. The sessions, which were facilitated by several of our staff members and current students, were well received by the high school student attendees. Annually, we have run interactive presentations for the UNSW Nura Gili Indigenous Winter School, which is open to Aboriginal and/or Torres Strait Islander students from Years 10, 11 and 12. The Winter School program provides Indigenous Australian high school students with an opportunity to experience university.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; SOCIAL ENGAGEMENT

We have also run activities for high school students on campus for annual events such as Science Info Day, the L’Oréal Girls in Science program, and STEM Careers Week for Girls. Our staff members and student societies also do ad hoc high school visits. In 2012, the School of Mathematics and Statistics established the UNSW Mathematics Enrichment Club, which aims to encourage mathematical understanding and appreciation among students from years 8 to 12. It has run as an extra-curricular event at several Sydney high schools, but the club’s weekly problem sheets have been provided freely via our website to enable open participation. The club was launched by Peter Brown, and in the ensuing years several of our PhD students have helped to coordinate it.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— SOCIAL ENGAGEMENT

The UNSW School Mathematics Competition

outreach

Run annually since 1962, the UNSW School Mathematics Competition is a three-hour open-book exam for high school students, designed to assess mathematical insight and ingenuity. Approximately 700 entrants in the Junior (Years 7-10) and Senior (Years 11-12) divisions from high schools across NSW and the ACT participate each year. Every year the competition offers a varied list of challenging questions, ranging from simple riddles to extremely difficult Olympiad-level problems. The competition committee spends a full three months proofreading and perfecting the problems, and then up to six weeks meticulously marking the exams. We host a competition prize presentation ceremony in UNSWâ&#x20AC;&#x2122;s Leighton Hall each September, awarding Certificates of Merit and cash prizes to high achieving students. Each year, one of our graduates is invited to deliver a presentation about their experiences at university and their careers following graduation. In recent years, exceptional participants have been offered scholarships to study in the School of Mathematics and Statistics, and the competition has served as one of the selectors for the Australian team in the International Mathematical Olympiad.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; SOCIAL ENGAGEMENT

Our Women in Mathematics and Statistics Program aims to encourage and support female staff and students, and to help address the underrepresentation of women in mathematics and statistics. Our initiatives include our annual Girls Do the Maths workshops, dedicated scholarships for female students, an all-female Data Science and Decisions Ambassador program, regular womenâ&#x20AC;&#x2122;s networking lunches for staff and students, public lectures, and our annually appointed UNSW Women in Mathematics and Statistics Ambassadors. UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; SOCIAL ENGAGEMENT

women in maths & stat s

Women in Mathematics & Statistics

Girls Do the Maths Over the past five years our annual Girls Do the Maths workshops have grown from a classroom sized group to an auditorium bursting with hundreds of female high school students. Besides an expanded venue, recent years have also seen new additions to the event schedule. The workshop now hosts a lively Maths Carnival, comprising interactive maths games and activities run by School staff, and has also introduced a Q & A forum with current UNSW maths and stats students fielding questions from the audience about university life. The one-day workshops have continued to feature a range of inspiring speakers, including our annual Women in Mathematics and Statistics Ambassadors, representatives from a variety of occupations that utilise maths, and our own School alumni. Our Girls Do the Maths program was launched in 2005 and aims to inform female high school students about the myriad career opportunities available to mathematics and statistics graduates.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; SOCIAL ENGAGEMENT

“The Girls Do the Maths workshop was a fantastic opportunity to meet people my age who also had an interest in mathematics. It was a great opportunity to gain an insight into university life, and in particular, life as a maths student.” — Michela Castagnone, 2012 Girls Do the Maths participant and UNSW Advanced Mathematics Honours graduate.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— SOCIAL ENGAGEMENT

women in maths & stat s

Public Lectures and UNSW Women in Mathematics and Statistics Ambassadors We host annual public lectures featuring our UNSW Women in Mathematics and Statistics Ambassadors. These lectures are scheduled to coincide with our Girls Do the Maths workshops, where the Ambassadors are also invited to present. In May 2018, Professor Cheryl Praeger from the University of Western Australia delivered a public lecture called “Maths as a Superpower”. She was presented with the 2018 UNSW Women in Mathematics and Statistics Ambassador Award. In May 2017, Professor Regina Burachik from the University of South Australia gave a public lecture titled “Optimization Problems: A Gentle Tour”. She was awarded the 2017 UNSW Women in Mathematics and Statistics Ambassador Award. In May 2016, School alumnus and University of Georgia Professor Lynne Billard gave a public lecture on “The Role of Mathematics and Statistics in Science and Society”. She was presented with the inaugural UNSW Women in Mathematics and Statistics Ambassador Award by Vice Chancellor Professor Ian Jacobs. Pictured, top to bottom: Prof Lynne Billard w/ Vice Chancellor Ian Jacobs; Prof Regina Burachik w/ Dean of Science Emma Johnston; Prof Cheryl Praeger

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UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— SOCIAL ENGAGEMENT

Data Science and Decisions Ambassadors With the introduction of our Bachelor of Data Science and Decisions in 2017, we established a program offering a number of ambassador roles to female students. Our Data Science and Decisions Ambassadors assist with the promotion of the Data Science and Decisions degree, particularly to encourage female participation. They are also involved in publicity and high school outreach initiatives within the School of Mathematics and Statistics.

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wom en in maths & stati stics

Scholarships and Prizes

We offer Girls Do the Maths undergraduate scholarships for female mathematics majors, and we also award annual Women in Mathematics and Statistics prizes for high achieving female students at each undergraduate level. We have also offered the Paradice Honours Year Scholarship for female students planning to undertake Honours with us.

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Brittany Evat (2018 Women in Mathematics and Statistics Prize recipient) “The Women in Mathematics and Statistics award has provided me with the comfortability of being able to focus on my education and career goals with reduced financial concerns. It has allowed me to dedicate more time to studying and learning, so that I am able to truly get the most out of each course I take at university.”

Claudia Wallis (2016 Girls Do the Maths Scholarship recipient) “The Girls Do the Maths Scholarship is what allowed me to choose UNSW. Being from Newcastle I knew I could only afford to attend a Sydney university and on-campus accommodation with some financial help. This scholarship is why I am currently studying at the number one Australian university for maths. Here I have access to exciting courses and lecturers who are working in the field. Being in Sydney also gives me stronger industry links, allowing me to intern for Macquarie Group over the last two summers. Hence, the Girls Do the Maths scholarship has helped me realise my potential in maths.”

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— SOCIAL ENGAGEMENT

Miriam Greenbaum (2013 Girls Do the Maths Scholarship recipient) “As the recipient of the Girls Do the Maths Scholarship I was able to achieve a balance between my studies and my extra curriculars without having to spend time on a part time job. The scholarship allowed me to dedicate a large portion of my spare time to study, ensuring that with every new concept learnt, I fully understood the ideas and applications. In my remaining time, I was able to focus on activities outside of study, such as fostering a UNSW Math student community as the Vice President of MathSoc.

Most popular university-based maths Facebook page globally Since we launched our Facebook page in 2012, we have cultivated a large and engaged community of followers. With 4,300+ followers (Sept 2018), we are the most popular (most followed) university-based mathematics Facebook page in the world! Keep up-to-date with our latest news, events, programs, people and students at: facebook.com/Mathematics.Statistics.UNSW

I also had time to continue pursuing the violin as a member of Sydney Youth Orchestra while completing my licentiate diploma in music theory. Through receiving the scholarship, I was provided the flexibility to study, pursue my interests and hobbies, and give back to the UNSW community.”

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confe re nces & e v e nt s 104

EVENTS We host a range of events during the year, including public lectures, conferences and workshops. Featured here is a sample of events hosted by the School of Mathematics and Statistics during the period 2015-2017.

7th Workshop on High-Dimensional Approximation We hosted the High-Dimensional Approximation (HDA) Workshop from 13-17 February 2017 at UNSW. Participants were welcomed from all corners of the globe for the seventh workshop of this series of biennial international meetings, covering current research on all numerical aspects of high-dimensional problems.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; SOCIAL ENGAGEMENT

ANZAMP We hosted the Fifth Annual Meeting of the Australian and New Zealand Association of Mathematical Physics (ANZAMP) at The Pavilion, Kiama, from 1-3 February 2017. ANZAMP is a relatively new division of AustMS, representing mathematical physics research interests. International keynote speakers came from France, Japan, New Zealand and the U.K. School of Mathematics and Statistics organisers were Jonathan Kress and Joshua Capel. “The organisers did a superb job of ensuring the scientific standard and mix of topics was great, as was the location, catering and ambience”, reported Deputy Head of School, Professor John Roberts.

Jeffrey Rosenthal: From Lotteries to Polls to Monte Carlo We were thrilled to welcome prominent Canadian Statistician Professor Jeffrey Rosenthal to UNSW in November 2016, as part of his AMSI-SSA Australian tour. Over 120 people gathered to hear Professor Rosenthal’s fascinating public lecture on probability and randomness, where he revealed the sobering odds of winning the lottery, the varying prospects of a 50/50 result when coin-tossing, the chances of doubling your fortune at the casino, and an analysis of the polling data presented by major media networks in the lead-up to the 2016 Presidential Election in the U.S. To the delight of the audience, Professor Rosenthal also recounted his role in cracking open the Ontario Lottery Retailer Scandal, using simple statistical analysis.

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conferences & even ts

Inge Koch: An Australian Approach Towards Increasing the Participation of Women in Mathematics Associate Professor Inge Koch (University of Adelaide) visited in October 2016 to deliver a talk about the Australian Mathematical Sciences Instituteâ&#x20AC;&#x2122;s Choose Maths initiative. A/Prof Koch, who is the Choose Maths Executive Director, explained the objectives of the program, which is focused on increasing the participation of women in mathematics education and improving the career prospects for young females in STEM-related jobs and industries.

Gilbert Strang visits the School Massachusetts Institute of Technology Professor Gilbert Strang visited UNSW in January 2016 and presented a seminar on his experiences in online teaching. The eminent American mathematician also shared his knowledge in writing and lecturing about linear algebra, to a capacity audience.

A/Prof Koch was the guest of honour at a lunch held in the School following her presentation.

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WIMSIG Conference 2017: Celebration of Women in Australian Mathematical Sciences. The first conference in Australia for women in mathematics was held in September 2017 at the University of South Australia. Catherine Greenhill was a member of the Conference Steering Committee, and Yanan Fan organised one of the special sessions.

Catherine Greenhill. Photo credit: Sia Duff

Mathematics is a male-dominated discipline: in Australia in 2016, only 27% of the academic workforce in mathematics and statistics was female, and this percentage was lower than almost any other discipline. [Source: Discipline Profile of the Mathematical Sciences 2017, Report by AMSI.] The goals of this conference were to showcase the research of female mathematicians and statisticians, foster new research collaborations, and build new networks among female mathematicians. 190 people from 10 countries participated in this two-day event, of whom 85% were women and 30% were students. Just over 100 research talks and posters, all presented by women, were delivered in 12 special sessions. In addition, there were four female plenary speakers and two panel discussions (with one token male panellist!). For many participants, this was their first experience of a majority-female mathematical sciences research environment. The organisers received very positive feedback about the event. The School of Mathematics and Statistics, UNSW was a Gold Sponsor of this conference.

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Philip Maini: Using Mathematics to Understand Biology

Australian Premiere Screening of ‘Colors of Math’ film

Oxford University Professor and Fellow of the Royal Society Philip Maini delivered a public lecture at UNSW in September 2015.

The critically acclaimed film “Colors of Math” made its Australian debut in July 2015 at UNSW. Director/Producer Ekaterina Eremenko joined us all the way from Berlin to present this special screening in the Scientia’s Ritchie Theatre to 200 viewers.

Professor Maini, listed as one of “The World’s Most Influential Scientific Minds” by Thomson Reuters in 2014, spoke about the significance of mathematical modelling and patterns in developmental biology. The audience of 100 comprised a diverse group including UNSW students and staff, alumni, students from local and international universities, high school maths teachers, individuals from medical institutes, and members of the public.

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Following the screening, Ekaterina fielded several questions from the audience, and provided a fascinating commentary of the film.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— SOCIAL ENGAGEMENT

OUR VISITORS

Domestic and International

VISITORS MAP (visitors from areas indicated by purple)

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UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; OUR VISITORS

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Visitors to the School of Mathematics and Statistics During the 2015-2017 period, 320 people visited the School from all corners of the globe (see map).

Vi s itors 2 015

Visitors in 2015 SURNAME

GIVEN NAME/S

UNIVERSITY/INSTITUTION

SUPERVISOR/HOST

Adhikari

Sukumar

Harish-Chandra Research Institute

I Shparlinski

Adly

Samir

Université de Limoges

Baeumer

Boris

University of Otago

Bez

Neal Richard

Saitaman University

G Li, V Jeyakumar P Straka, W McLean, B Henry M Cowling

Blower

Gordon

University of Lancaster

I Doust

Bobenko

Alexander

Institut für Mathematik

W Schief

Boys

Richard

Newcastle University

S Sisson

Brauchart

Johann

Technische Universität Graz

J Dick

Brown

Brice

UNSW

W Dunsmuir

Burrage

Kevin

University of Oxford

S Macnamara

Cabitza

Valentina

Inverell High School

Girl Do The Maths

Chan

Raymond

University of Hong Kong

I Sloan

Cheng

Ming-Yen

National Taiwan University

S Wilson, S Penev

Cheng

Shun-Jen

Institute of Mathematics Academia Sinica

J Du

Coja-Oghlan

Amin

Australian National University

C Greenhill

Dancso

Zsuzsanna

Australian National University

P Grossman

Demskoy

Dmitry

Charles Sturt University

W Schief

Deng

Jia

University of Michigan

L Chan

Doucet

Arnaud

Oxford University

Dykema

Ken

Texas A & M University

Eastwood

Mike

University of Adelaide

P Del Moral D Potapov, D Zanin, F Sukochev A Ottazzi

Eremenko

Ekaterina

Institut für Mathematik

W Schief

Eshragh

Ali

University of Newcastle

P Straka

Evans

David

Imperial College of London

P Grossman

Frikha

Noufel

Université Paris Diderot

L Li

Ganesh

Mahadevan

Colorado School of Mines

I Sloan, F Kuo

Ghitza

Alexandru

University of Melbourne

D Harvey

Giles

Mike

University of Oxford

I Sloan, F Kuo

Goffeng

Magnus

University of Gothenburg

F Sukochev

Gomez Perez

Domingo

University of Cantabria

A Ostafe

Gover

Rod

University of Auckland

J Kress

González Tokman

Cecilia

University of Queensland

G Froyland

Graham

Ivan

University of Bath

I Sloan, F Kuo

Griewank

Andreas

Humboldt University of Berlin

I Sloan, F Kuo

Wolfgang

Max Planck Institute for Mathematics in the Sciences

I Sloan, F Kuo, J Dick

Hackbusch

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UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— OUR VISITORS

SURNAME

GIVEN NAME/S

UNIVERSITY/INSTITUTION

SUPERVISOR/HOST

Hektami

Pedram

Instituto de Matematica Pura e Aplicada

P Grossman

Heller

Jeremiah

University of Illinois

M Voineagu

Irrgeher

Christian

Johannes Kepler Universität Linz

J Dick

Iserles

Arieh

University of Cambridge

S Macnamara, I Sloan

Izumi

Masaki

Kyoto University

P Grossman

Jacobs

Byron

University of the Witwatersrand

B Henry

Jasra

Ajay

National University of Singapore

P Del-Moral

Jensen

Bernt

Gjovik University College

J Du

Jiao

Yong

Central South University

F Sukochev

Joaquin

Jeremiah

De La Salle University

J Franklin

Junge

Marius

University of Illinois

F Sukochev

Kazashi

Yoshihito

Osaka University

I Sloan

Kohatsu- Higa

Acturo

Ritsumeikan University

L Li

Kritzer

Peter

University of Linz

I Sloan, F Kuo, J Dick

Krivitsky

Pavel

University of Wollongong

P Straka

Kuroiwa

Daishi

Shimane University

V Jeyakumar

Kuznetsova

Yulia

University of Franche-Comte

D Zanin

Lai

Zhigang

Sun Yat-sen University

M Roughan

Langlands

Trevor

University of Southern Queensland

B Henry

Kim-Ngan

UNSW

B Henry

Le Donne

Enrico

University of Jyväskylä

M Cowling

Lee

Gue Myung

Pukyong National University

V Jeyakumar

Lord

Stephen

University of Adelaide

F Sukochev

Lotstedt

Per

Sweden Institution

S MacNamara

Maher

Stephen

Zure Institute Berlin

J Murray

Mahomed

Fazal

University of the Witwatersrand

B Henry

Maini

Philip

Maller

Ross

Markowsky

Greg

University of Oxford S MacNamara International Journal of Theoretical & Mathematical P Straka Physics Monash University M Voineagu

McKay

Brendan

University of Melbourne

C Greenhill

Mengersen

Kerrie

Queensland University of Technology

P Straka

Milicevic

Djordje

University of Melbourne

I Shparlinski

Morgon

Stephen

Australian National University

P Grossman

Morris

Andrew

University of Oxford

I Doust

Mustapha

Kassem

King Fahd University of Petroleum and Minerals

W McLean

Neal Bez

Richard

Saitama University

M Cowling

Nijhoff

Frank

University of Leeds

J Roberts

Pappalardi

Francesco

Università Roma Tre

I Shparlinski

Patummasut

Mena

Kasetsart University

J Olivier

Peller

Vladimir

Michigan State University

F Sukochev

Pham

Duong

Vietnamese German University

T Tran

Post

Sara

University of Hawaii

J Kress

Powell

Brian

University of Hawaii

M Roughan

Liqun

Hong Kong Polytechnic University

G Li

Quas

Anthony

University of Victoria

G Froyland

Ramadurai

Reshma

University of Waikato

C Greenhill

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— OUR VISITORS

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vi sitors 2015

SURNAME

GIVEN NAME/S

UNIVERSITY/INSTITUTION

SUPERVISOR/HOST

Raykov

Gueorgui

Pontifical Catholic University of Chile

F Sukochev Z Botev

Ridder

Vrije Universiteit Amsterdam

Ridout

David

Australian National University

P Grossman

Roshchina

Vera

RMIT University

G Li

Saha

Arnab

Australian National University

M Voineagu

Salomone

Robert

University of Queensland

Z Botev

Savage

Alistaiv

University of Ottawa

J Du

Scheichl

Rob

University of Bath

I Sloan

Schwab

Christoph

ETH Zürich

J Dick

Scott

Leonard

University of Virginia

J Du

Shiromoto

Keisuke

Kumamoto University

T Britz

Sims

Aidan

University of Wollongong

P Grossman

Skripka

Anna

University of New Mexico

F Sukochev

Snyder

Noah

Indiana University

P Grossman

Stephan

Ernst

Leibniz Universität Hannover

Q Le Gia, T Tran

Xiuping

University of Bath

J Du

Tang

Chunming

University of Florida

G Li

Tran

Dinh

La Trobe University

J Roberts

Trudgian

Timothy

Australian National University

I Shparlinski

Vollmer

Andreas

University of Jena

J Kress

Wang

Alice

Hong Kong Baptist University

D Warton

Ward

Thomas

Durham University

I Shparlinski

Wendland

Holger

University of Bayreuth

Q Le Gia

Williams

Ruth

University of California

P Del Moral

Jiajun

University of Hong Kong

F Chen

Yuan

Xiaoming

Hong Kong Baptist University

G Li

Zhang

Tianping

Shaanxi Normal University

I Shparlinski

Zhao

Zhonghua

Beijing University

J Du

Byron Jacobs Alexander Bobenko Alice Wang

Mahadevan Ganesh Philip Maini

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UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— OUR VISITORS

Visitors in 2016 SURNAME

GIVEN NAME

UNIVERSITY/INSTITUTION

SUPERVISOR/HOST

Ayupov

Shavkat

Tashkent State Technical University

F Sukochev, D Potapov

Michael

Bielefeld University

J Roberts

Shi

Australian National University

A Ostafe

Banks

William

University of Missouri

I Shparlinski

Banz

Lothar

University of Salzburg

T Tran

Billard

Lynne

University of Georgia

Y Fan

Boggess

Albert

Arizona State University

B Henry

Bomze

Immanuel

University of Vienna

G Li, V Jeyakumar

Bors

Alexander

University of Salzburg

A Ostafe

Bruin

Hendrik

University of Vienna

G Froyland

Brzezniak

Zdzislaw

University of York

T Tran

Burrage

Kevin

University of Queensland

S MacNamara

Chen

Changhao

University of Oulu

C Greenhill

Chen

Hua

Wuhan University

I Shparlinski

Chen

Xiaojun

Hong Kong Polytechnic University

G Li

Cheng

Ming Yen

National Taiwan University

S Penev

Costa

Edgar

Dartmouth College

D Harvey

Dadakhodjaev

Rashidkhon

University of Bonn

F Sukochev

Dontchev

Assen

University of Michigan

G Li

Duy

Trinh Khanh

Kyushu University

J Roberts

Dykema

Kenneth

Texas A&M University

F Sukochev

Dyn

Nira

Tel-Aviv University

I Sloan, G Li

Evans

David

The University of Sydney

P Grossman

Fukumoto

Yasuhide

Kyushu University

J Roberts

Galbraith

Steven

University of Auckland

A Ostafe, I Shparlinski

Ganesh

Mahadevan

Colorado School of Mines

School

Globke

Wolfgang

University of Adelaide

A Ottazzi

Goberna

Miguel

University of Alicante

V Jeyakumar, G Li

Goffeng

Magnus

Chalmers University

F Sukochev

González Tokman

Cecilia

University of Queensland

G Froyland

Gover

Rod

University of Auckland

J Kress

Haixia

UNSW & East China Normal University

J Du

Hammerlindl

Andy

Monash University

G Froyland, P Grossman

Hirao

Masatake

University of Tsukuba

I Sloan

Hirose

Kei

Kyushu University

J Roberts

Hirz

Jonas

Technische Universität Wien

S Penev

Shenglong

Tianjing University

G Li

Hui

Francis

Australian National University

D Warton

Irrgeher

Christian

Johannes Kepler University

J Dick

Iserles

Arieh

University of Cambridge

S MacNamara

Izumi

Masaki

Kyoto University

P Grossman

Jacobs

Byron

University of the Witwatersrand

C Angstmann, B Henry

Jensen

Bernt

Norwegian University of Science and Technology

J Du

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— OUR VISITORS

Vi s itors 2016

Baake Bai

115

vi sitors 2016

SURNAME

GIVEN NAME

UNIVERSITY/INSTITUTION

SUPERVISOR/HOST

Jiao

Yong

Central South University

F Sukochev

Jones

Vaughn

Vanderbilt University

P Grossman

Kajiwara

Kenji

Kyushu University

J Roberts

Kaminski

Michael

Israel Institute of Technology

I Shparlinski

Karrasch

Daniel

ETH Zürich

G Froyland

Koch

Inge

University of Adelaide

R Rendek

Kritzinger

Ralph

Johannes Kepler University Linz

J Dick

L'ecuyer

Pierre

University of Montreal

Z Botev

Liu

Kui

Yunnan University

I Shparlinski

Liu

Sherry

University of Hong Kong

F Chen

Liu

Yan

Waseda University

W Dunsmuir

Liu

Zhenhai

Guangxi University for Nationalities

C Tisdell

Liu

Zhixin

University of Michigan

L Zhao

Lopez Sanchez

Luis

Consejo Superior de Investigaciones Científicas

F Sukochev

Lovric

Miodrag

University of Kragujevac

S Penev

Luca

Florian

University of Alaska Fairbanks

I Shparlinski

Yongki

Kongju National University

L Chan

Mahomed

Fazal

University of the Witwatersrand

B Henry, C Angstmann

McKay

Brendan

Australian National University

C Greenhill

Mohebi

Hossein

Muller

Vladimir

Muller

Detlef

Dalhousie University Jeya Institute of Mathematics of the Czech Academy of F Sukochev Sciences Universität Bielefeld M Cowling

Mustapha

Kassem

King Fahd University of Petroleum and Minerals

W McLean

Naito

Kanta

Shimane University

S Penev

Nuyens

Dirk

Katholieke Universiteit Leuven

F Kuo, I Sloan

Oates

Christopher

University of Technology Sydney

L Li

Okayasu

Takashi

Kyushu University

J Roberts

Pach

Janos

École Polytechnique Fédérale de Lausanne

I Shparlinski

Peller

Vladimir

Michigan State University

F Sukochev

Powell

Brian

Macquarie University

M Roughan

Liqun

Hong Kong Polytechnic University

G Li

Qin

Hourong

Nanjing University

J Du

Rajapaksha

Samithree

Monash University

S Sisson

Ramasinghe

Wimalaratna

University of Colombo

B Henry

Richard

Serge

Nagoya University

F Sukochev

Ricker

Werner

Katholische Universität Eichstätt-Ingolstadt

F Sukochev

Rieger

Janosch

Imperial College of London

G Froyland

Roquet

Fabien

University of Stockholm

T McDougall

Schwab

Christoph

ETH Zürich

J Dick

Shah

Rohan

University of Queensland

Z Botev

Shevchenko

Pavel

CSIRO

S Penev

Skerman

Fiona

University of Bristol

C Greenhill

Skripka

Anna

University of New Mexico

F Sukochev

Small

Michael

University of Western Australia

S MacNamara

116

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— OUR VISITORS

SURNAME

GIVEN NAME

UNIVERSITY/INSTITUTION

SUPERVISOR/HOST

Snyder

Noah

Columbia University

P Grossman

Strang

Gilbert

Massachusetts Institute of Technology

S MacNamara

Xiuping

University of Bath

J Du

Taguchi

Dai

Tokyo Institute of Technology

L Li

Tran

Nghia

Oakland University

G Li

Vaienti

Sandro

Isaac Newton Institute

G Froyland

Vaisman

Slava

University of Queensland

S MacNamara

Veraar

Mark

Delft University of Technology

F Sukochev

Vivaldi

Franco

Queen Mary University of London

J Roberts

Voloch

Felipe

University of Canterbury

A Ostafe

Wang

Yu Guang

University of Hong Kong

Q Le Gia, I Sloan

Ward

Joseph

Purdue University

Q Le Gia, I Sloan

Wasilkowski

Grzegorz

University of Kentucky

Q Le Gia, I Sloan

Wei

Manman

Jiangsu Normal University

H Lian

Weiss

Gary

University of Cincinnati

F Sukochev

Williams

Ruth

University of California

L Li

Woodruff

Alan

Queensland Brain Institute

S MacNamara

Yamanishi

Yoshihiro

Kyushu University

J Roberts

Yang

Guiyu

National University of Singapore

J Du

Zhang

Tianping

Shaanxi Normal University

I Shparlinski

Zhang

Wenyang

The University of York

H Lian

Zhao

Zhonghua

J Du

Zimmermann

Paul

Beijing University of Chemical Technology French Inst. for Research in Computer Science & Automation

A Ostafe

Dirk Nuyens Ekaterina Eremenko

Michael Griebel

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Visitors in 2017 GIVEN NAME

UNIVERSITY/INSTITUTION

SUPERVISOR/HOST

Albert

Jim

Bowling Green State University

S Sisson

Asmussen

Soren

Aarhus University

Z Botev

Baake

Michael

J Roberts

Ben Rached

Nadhir

Ber

Aleksey

Universität Bielefeld King Abdullah University of Science and Technology Tashkent University

Beyn

Wolf-Juergen

Universität Bielefeld

G Froyland

Bez

Neal

Saitama University

M Cowling

Bisch

Dietmar

Vanderbilt University

P Grossman

Boggess

Albert

Arizona State University

J Roberts, B Henry

Brauchart

Johann

Graz University of Technology

J Dick

Brzezniak

Zdzislaw (Zislof)

The University of York

Thanh Tran

Carey

Alan

Australian National University

F Sukochev

Caspers

Marten

Delft University of Technology

F Sukochev

Cavenagh

Nicholas

University of Waikato

T Britz

Chen

Changhao

University of Oulu

C Greenhill

Chen

Hua

Wuhan University

I Shparlinski

Cooper

Colin

Kings College London

C Greenhill

Criado del Rey

Juan Gonzalez

Universidad de Cantabria

I Sloan

De Pagter

Ben

Delft University of Technology

F Sukochev

Debargha

Banerjee

D Harvey

Del Moral

Pierre

Deng

Bangming

Australian National University French Inst. for Research in Computer Science & Automation Beijing Normal University

Detommaso

Gianluca

University of Bath

F Kuo, J Dick, I Sloan

Dewar

William

Florida State University

T McDougall

Dyer

Martin

University of Leeds

C Greenhill

Ebert

Adrian

Katholieke Universiteit Leuven

F Kuo

Edie-Michell

Cain

Australian National University

P Grossman

Ehler

Martin

University of Vienna

I Sloan, Q Le Gia

Qiang

Tongji University

J Du

Ganesh

Mahadevan

Colorado School of Mines

School

Gangopadhyay

Krishnendu

Indian Institute of Science Education & Research

M Cowling

Gao

Peng

Syracuse University

L Zhao

Gnewuch

Michael

University of Kiel

J Dick

Goda

Takashi

University of Tokyo

J Dick

González Tokman

Cecilia

University of Queensland

G Froyland

Goodrich

Chris

Creighton Preparatory School

B Henry

Gover

Rod

University of Auckland

J Kress

Griebel

Michael

University of Bonn

I Sloan

Haixia

UNSW & East China Normal University

J Du

Gunther

Joseph

University of Wisconsin-Madison

J Roberts

Hackbusch

Wolfgang

Max Planck Institute

F Kuo

V i sitors 2 017

SURNAME

118

Z Botev F Sukochev

S Penev J Du

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— OUR VISITORS

SURNAME

GIVEN NAME

UNIVERSITY/INSTITUTION

SUPERVISOR/HOST

Hees

Katharina

University of Heidelberg

P Straka

Hegland

Markus

Australian National University

F Kuo, I Sloan, J Dick

Hertrich-Jeromin

Udo

Vienna University of Technology

W Schief

Jones

Corey

Australian National University

P Grossman

Joux

Antoine

Laboratoire d'Informatique de Paris 6

I Shparlinski

Junge

Marius

University of Illinois

F Sukochev

Kajiwara

Kenji

Kyushu University

J Roberts, W Schief

Klocker

Andreas

University of Tasmania

M Holzer

Liu

Yan

Waseda University

W Dunsmuir

Madec

Gurvan

French National Centre for Scientific Research

T McDougall

Maesono

Yoshihiko

Kyushu University

S Penev

Maher

Stephen

Lancaster Academy

G Froyland

Majee

Ananta

University of Tuebingen

T Tran

Makowsky

Johann

Technion - Israel Institute of Technology

C Greenhill, I Shparlinski

Migliorati

Giovanni

Université Pierre et Marie Curie

F Kuo

Mohammmadian

Sogol

University of Newcastle

C Greenhill

Mohebi

Hossein

Dalhousie University

V Jeyakumar

Myerscough

Mary

University of Sydney

A Coster

Naito

Kanta

Shimane University

S Penev

Nguyen

San Francisco State University

N Wildberger

Nikshyah

Dmitri

University of New Hampshire

P Grossman

Niku

Jenni

University of Jysvaskyla

D Warton

Nuyens

Dirk

Katholieke Universiteit Leuven

F Kuo

Oates

Chris

University of Technology Sydney

B Beranger

Okawa

Shinnosuke

Osaka University

D Chan, T Abdelgadir

Park

Hyeongki

Kyushu University

J Roberts, W Schief

Perez

Jose Vicente

University of Alicante

V Jeyakumar

Peters

Emily

Loyola University Chicago

P Grossman

Prvan

Tania

Macquarie University

S Penev

Ritter

Klaus

University of Kaiserslautern

I Sloan, F Kuo, J Dick

Roberts

Jessie

Queensland University of Technology

S Sisson

Rowell

Eric

Texas A & M University

P Grossman

Rui

Hebing

East China Normal University

J Du

Salomone

Robert

University of Melbourne

Z Botev

Schilling

Nathanael

Technische Universität Munchen

G Froyland

Schwab

Christoph

ETH Zürich

J Dick, Q Le Gia

Scott

Leonard

University of Virginia

J Du

Shiromoto

Keisuke

Kumamoto University

T Britz

Siegmund

Stefan

Technische Universität Dresden

C Tisdell

Stephan

Ernst

Leibniz Universität Hannover

T Tran

Stynes

Martin

Beijing Computational Science Research Center

W McLean, K-N Le

Szereszewski

Adam

University of Warsaw

W Schief

Taskinen

Sara

University of Jyväskylä

D Warton

Tempone

Raul

King Abdullah University

B Henry

Tingley

Peter

Loyola University Chicago

J Du

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— OUR VISITORS

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vi sitors 2017

SURNAME

GIVEN NAME

UNIVERSITY/INSTITUTION

SUPERVISOR/HOST

Trudgian

Timothy

D Harvey, A Ostafe

Tulenov

Kanat

Australian National University Inst. of Mathematics & Mathematical Modeling, Kazakhstan

Wang

Yuguang

La Trobe University

Wenzl

Hans

UC San Diego

I Sloan, R Womersley, Q Le Gia P Grossman

Winters

Kraig

University of California

T McDougall

Wozniakowski

Henryk

Columbia University

F Kuo

Quanshui

Fudan University

J Du, D Chan

Yang

Guiyu

Shandong University of Technology

J Du

Yang

South China University of Technology

J Dick

Zhang

Jiwei

Beijing Computational Science Research Center

W Mclean

Zhong

Min

Auburn University

Q Le Gia, I Sloan

Zhou

Dejian

Central South University

F Sukochev

Zhou

Zhongguo

Shandong University

J Du

F Sukochev

Johann Brauchart

Emily Peters

Franco Vivaldi

Lynne Billard

Stephen Maher

Katharina Hees

120

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; OUR VISITORS

APPENDIX

Research Students PhD Students

Research Area

Supervisor/s

Haya Saeed N Aldosari

Graph theory and hypergraphs

Greenhill, Catherine

Shaymaa Shawkat K Al-Shakarchi

Banach algebras

Doust, Ian

Fadi Antown

Dynamical systems and Optimization Wavelets, non-parametric statistics, functional data analysis Random Structures in Combinatorics Universal Hyperbolic Geometry, Mobius Geometry and the Special Theory of Relativity Improving the representation of the ocean surface mixed layer in an operational ocean forecast model ComputationalÂ Statistics and Data Science Markov Chain Monte Carlo/Approximate Bayesian computation The effects of climate change on malarial transmission Topographic wakes New directions for the spectral method of transfer operators Functional analysis Pattern formation in systems with reactions and sub-diffusive transport on growing domains Cox process regression models for multi-species presence-only data in ecology Causal inference for epidemiological study designs A posteriori error estimates of a convergent numerical scheme for a hyperbolic nonlinear problem Reaction-diffusion equation modelling of the early stages of sexual infection with HIV and the impact of microbicides Fourier analysis Quasi-Monte Carlo (QMC) methods. High-dimensional integration & approximation Anomalous diffusion models of limit order books

Froyland,Gary

Mathematical modelling of hepatitis D virus Mathematical modelling of the insulin signalling pathway in adipocytes Analysis and modelling of financial time series

Murray, John

Sukochev, Fedor

Eric Kwok

Functional analysis, double operator integrals Approximation theory and applications on spherical shells Number Theory Regression to the mean effects in interrupted time series designs Dynamical Systems

Xin Lei

Nonparametric cluster analysis

Penev, Spiridon

Galina Levitina

Functional analysis The horizontal residual mean: overcoming the limited spatial resolution in ocean climate models

Sukochev, Fedor

Carlos Enrique Aya Moreno Peter Ayre Sebastian Blefari Daniel Boettger Yi-Lung Chen Vincent Chin Stephanie Clark Deborah Cox Harry Crimmins Raveen De Silva Isaac Donnelly Elliot Dovers Mithilesh Dronavalli Farah El Rafei Austen Erickson Xin Gao Alexander Gilbert Gurtek Singh Gill Ashish Goyal Catheryn Gray Jieyi He Jinghao Huang Yoshihito Kazashi Bryce Kerr Manzoor Khan

Yuehua Li

122

Penev, Spiridon Greenhill, Catherine Wildberger, Norman Keating, Shane & Banner, Michael Botev, Zdravko Sisson, Scott Sisson, Scott Middleton, Jason Froyland, Gary Doust, Ian Henry, Bruce Warton, David Olivier, Jake Tran, Thanh Murray, John Cowling, Michael Kuo, Frances Straka, Peter Coster, Adelle Dunsmuir, William Sloan, Ian & Le Gia, Quoc Thong Shparlinski, Igor Olivier, Jake Froyland, Gary

McDougall, Trevor

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; APPENDIX

PhD Students

Research Area

Supervisor/s

Huan Lin

Sisson, Scott

Simon Macourt

Statistical methods for 'big data' Regularisation methods in stochastic process inference Analytic number theory

Alexandre Mah

Hall algebras and quantum groups

Du, Jie

Adam Mammoliti

External set theory: on Muyabi's conjecture

Britz, Thomas

Edward McDonald

Sukochev, Fedor Angstmann, Christopher & Henry, Bruce Warton, David

Jeremy Nugent

Functional Analysis Non-Markovian random walks with applications to epidemiological models Statistical Methods in Australian Rules Football Modelling spatially correlated measurement error via Monte Carlo expectation maximization algorithm The geometry of the tetrahedron and higher dimensional rational trigonometry Higher order symmetries of Lorentzian manifolds

Juan Ignacio Ortega Piwonka

Nonlinear dynamics, stochastic processes

Henry, Bruce

Benoit Pasquier

Oceanography (biochemical cycles) Statistics and statistical ecology - research into multiple species modelling via novel statistical estimation methodology Circulation & mixing driving nutrient enrichment on the continental shelf of NSW Statistical models and methods for limit order execution in financial markets Construction of Neutral Density in real time in ocean models Approximate Bayesian computation Computational Bayesian statistics, Bayesian quantile regression Geometry of Banach spaces and noncommutative geometry Computational mathematics

Holzer, Mark

Dynamical systems and number theory Modelling regional responses of biodiversity to climate change: aquatic - terrestrial linkages Symbolic data analysis for panel data Point process, financial data analysis, time series, computational statistics Point processes, statistical inference, applied statistics and probability, market research, stochastic modelling Non-commutative analysis, functional analysis Advances in Efficient Bayesian Inference and Statistical Computation Functional analysis and partial differential equations

Roberts, John

Roughan, Moninya

Thomas Whitaker

Biogeochemical modelling off SE Australia Observational Oceanography of South-eastern Australia Dynamical systems and ergodic theory Statistical models for high frequency financial time series - Time varying parametric models for intraday and between day variability Symbolic data analysis

Louise Wilkinson

Dynamical systems

Dooley, Anthony & Doust, Ian

Daniel Mackinlay

Anna McGann Robert Nguyen Firouzeh Noghrehchi Gennady Notowidigdo

Gordana Popovic Nina Ribbat Kylie-Anne Richards Stefan Riha Guilherme Souza Rodrigues Thais Carvalho Rodrigues Thomas Tzvi Scheckter Sabarina Binti Shafie Timothy Chap-On Siu Eve Slavich Yueyue Song Thomas Stindl Wai Hong Tan Anna Tomskova James Totterdell Dominic Vella Carlos Vieira Rocha Eduardo Vitarelli De Queiroz Thomas Watson Damien Chee Ho Wee

Botev, Zdravko Shparlinski, Igor

Penev, Spiridon Wildberger, Norman Kress, Jonathan

Warton, David Roughan, Moninya Peters, Gareth & Dunsmuir, William McDougall, Trevor Sisson, Scott Fan, Yanan Sukochev, Fedor Tran, Thanh Ramp, Daniel & Warton, David Sisson, Scott Chen, Feng Chen, Feng Sukochev, Fedor Sisson, Scott & Kohn, Robert Doust, Ian Roughan, Moninya Froyland, Gary Chen, Feng & Dunsmuir, William Sisson, Scott

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; APPENDIX

123

research stud ent s

PhD Students

Research Area

Supervisor/s

Wei Wu

Statistics

Goldys, Ben

Kam Hung Yau

Number theory

Shparlinski, Igor

Xin Zhang

Approximate Bayesian computation

Sisson, Scott

Meng Zhe Zhang

Stochastic analysis, financial maths

Chan, Leung

Houying Zhu

Markov chain quasi Monte Carlo methods

Dick, Josef

Wanchuang Zhu

Bayesian inference

Fan, Yanan

Masters by Research Students

Research Area

Supervisor/s

Zhi Yee Chng

Combinatorics, Ramsey Theory, external set theory Geometric Fourier transform theory for compact simple Lie group connecting the Kirillov theory for representations with the operator valued Fourier transform Generalisations and applications of the accumulating remainder tree Generalised Inversion Count and Distribution of Integer Sequences

Britz, Thomas

Kevin Limanta

Ramanan Rajkumar Sin Keong Tong

124

Wildberger, Norman

Harvey, David Britz, Thomas

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; APPENDIX

Seminars 2015 - 2017 February 2015 How Modern Variational Analysis can be useful to Electrical Engineering?, Samir Adly (Université de Limoges, France) High-Order QMC-PG Discretization of countably-parametric, nonlinear operator equations, Christoph Schwab (SAM, ETH Zurich) Averaging with primitive roots, Francesco Pappalardi (Roma Tre University) How good are Fibonacci lattices on the sphere?, Johann Brauchart (Technische Universität Graz) Applied Mathematics in HF Radar Oceanography: Some Recent Developments, Stuart Anderson (UNSW) On an alternative class of pseudomarginal Metropolis-Hastings algorithms, Arnaud Doucet (Oxford University) Local convergence of random graph colourings, Amin Coja-Oghlan (Goethe University)

March 2015 Multilevel Markov Chain Monte Carlo Methods with Applications in Subsurface Flow, Robert Scheichl (University of Bath) Subfactors and twisted equivariant K-theory, David Evans (Cardiff University) Topological games, Cantor sets and Diophantine approximation, Stephen Harrap (Durham University) Bayesian Modelling and Analysis of Big Data, Kerrie Mengersen (Queensland University of Technology) hp-BEM for frictional contact problems in linear elasticity, Ernst P. Stephan (Leibniz University, Hannover) New directions in matroidal coding theory, Thomas Britz (UNSW)

Estimating turbulent mixing by ocean April 2015 eddies using superresolved satellite observations, Shane Keating (UNSW) Generalising AGM point-counting Hodges’ Superefficiency and Oracle for elliptic curves over large finite fields of small characteristic, Michael Property in Model Selection, Xian Harrison (University of Sydney) Zhou (Macquarie University) On the Fringes of Noncommutative Geometry, Peter Donovan (UNSW) Quasisymmetry and quasiconformality, Michael Cowling (UNSW) The least common multiple of sets of positive integers, Ana Zumalacarregui (UNSW) Flying through gigantic volcanic eruption clouds, Herbert E. Huppert (University of Bristol, University of Cambridge and UNSW) Robust Vector Optimization by Set Optimization, Daishi Kuroiwa (Department of Mathematics, Shimane University, Matsue, JAPAN) Markov Interacting Importance Samplers, Eduardo Mendes (UNSW Business School) From Forced Gradings to Q-Koszul algebras, Len Scott (University of Virginia) From stochastic processes to numerical schemes for fractional DEs, and PDEs, Christopher Angstmann (UNSW) Isometries, conformal and quasiconformal maps, Alessandro Ottazzi (UNSW)

Inference for Social Network Models from Egocentrically-Sampled Data, Pavel Krivitsky – (University of Wollongong) The approximate GCD problem, Randell Heyman (UNSW) Modelling atherosclerotic plaque formation: Boundaries, balances and bifurcations, Mary Myerscough (The University of Sydney) Some Recent Advances of Polynomial Optimization, Guoyin Li (UNSW) Distribution Forecasting in Nonlinear Models with Stochastic Volatility, Peter Exterkate (University of Sydney) Frechet differentiability of the norm of L_p spaces, Anna Tomskova (UNSW) Crossed products of C*-algebras for singular actions, Hendrik Grundling (UNSW) Operator Ideal membership of Quantised derivatives, Edward McDonald (School of Mathematics and Statistics)

CHeBA, its data and statistics, neuroimaging, and others, Anbupalam Thalamuthu & Wei Wen Chaos and synchronisation in (Centre for Healthy Brain Ageing an idealised ocean model under CHeBA School of Psychiatry, UNSW periodic forcing, Andrew Kiss (UNSW Medicine) Canberra) (ADFA) Long-time effect of small The Risk Return Relationship: perturbations: averaging and large Evidence from Index Return and deviations, Mark Freidlin (University Realised Variance Series, Minxian of Maryland) Yang (UNSW Business School) The representations of cyclotomic The What, Why and How of BMW algebras, Mei Si (Shanghai Categorification, Zsuzsanna Dancso Jiaotong University) (ANU) Operator Ideal membership of Gromov’s theorem on groups of Quantised derivatives, Part II, polynomial growth, Michael Cowling Edward McDonald (UNSW) (UNSW)

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— APPENDIX

125

seminar s

Metric Diophantine approximation: well approximable theory on manifolds, Mumtaz Hussain (University of Newcastle)

Wave-turbulence interaction in the Antarctic Circumpolar Current, Andreas Klocker (University of Tasmania)

ROM and HPC Framework with Analysis for Stochastic Wave Propagation Models: Part II, Stuart Hawkins (Macquarie University)

On the Application of Partial Differential Equations and Fractional Partial Differential Equations to Images and Their Methods of Solution, Byron Jacobs (University of the Witwatersrand)

Generalising epidemic dynamics: Deriving a fractional SIR model, Anna McGann (UNSW)

Using longitudinal biomarkers in prognostic models: an example of sepsis and c-reactive protein, Armando Teixeira-Pinto - School of Public Health, (University of Sydney)

A finite element method for Turing pattern formation, Zhaonan Lu (UNSW)

Importance sampling simulation of queues with time-varying rates, Ad Ridder (Vrije Universiteit Amsterdam)

Extreme genus 3 curves over finite fields, Stephen Meagher (UNSW)

May 2015

An introduction to the Atiyah-Singer index theorem, Stuart Hatzioannou (UNSW)

Questions regarding Sidon sets and additive bases, Ana Zumalacarregui Perez (UNSW) Operator Ideal membership of Quantised derivatives, Part III, Edward McDonald (UNSW) Global Optimization: From Single-level to Bi-level Polynomial Optimization, V. Jeyakumar (UNSW) The Effects of Largest Claims and Excess of Loss Reinsurance on a Company’s Ruin Time and Valuation, Ross Maller (Australian National University)

Quantised Calculus in One Dimension, Edward McDonald (UNSW) Searching for tensor categories, Noah Snyder (Indiana University)

Differential operators on modular forms, Alex Ghitza – (University of Melbourne) Estimation in closed capturerecapture models when covariates are missing at random, Wen-Han Hwang (Institute of Statistics, National Chung Hsing University, Taiwan)

July 2015

The Mathematics of Swimming Online tutorials in MATH1141 using Collectives (AMSI Lecturer), Michael Maple TA: The experience so far, Shelley (New York University) Norman Wildberger, Daniel Mansfield Automatic continuity of group & Jonathan Kress (UNSW) homomorphisms, Yulia Kuznetsova (Université de Franche-Comté)

June 2015

Elliptic Curves over Quadratic Fields, Michael Carr (UNSW)

Multi-level stochastic approximation algorithm, Noufel Frikha (University Paris VII)

Mathematics - Key to the Real A Modern User Interface for World, James Franklin (speaking in Mathematics Education, Chong Blackheath, Blue Mountains) (UNSW) Wang (UNSW)

Quadrilateral surfaces, Alexander Bobenko (Technische Universität Berlin)

Categorical representations of compact Lie groups, Pedram Hekmati (University of Adelaide)

August 2015

Enumerating Double-Base Chains with Applications to Elliptic Curve Cryptography, Christophe Doche (Macquarie University) Biological-guided classification approaches for improved accuracy of prognostic biomarkers, Jean Yang (University of Sydney) Modular transformations, representation theory and physics, David Ridout (ANU) Some problems in Distance Geometry, Ian Doust (UNSW) Efficient estimation in semivarying coefficient models for longitudinal/ clustered data, Ming-Yen Cheng (National Taiwan University)

126

Ranked Set Sampling (RSS) versus Simple Random Sampling (SRS) in the Estimation of the population Mean, Ganes Ganesalingam (University of Sydney) ROM and HPC Framework with Analysis for Stochastic Wave Propagation Models: Part I, M. Ganesh (Colorado School of Mines) Some fundamental formulas from metrical algebraic geometry, Norman Wildberger (UNSW) Explaining Credit Default Swap Spreads by Means of Realized Jumps and Volatilities in the Energy Market, Katja Ignatieva (UNSW Business School) Board tutorials: the Sydney experience one semester in, Mary Myerscough and Sharon Stephen (The University of Sydney)

A Socratic look at the logical weaknesses of modern pure mathematics, Norman Wildberger (UNSW) Density of Levy driven SDE: A parametrix approach, Libo Li (UNSW) Mastery Teaching for large first year maths classes at UTS, Layna Groen and Mary Coupland (School of Mathematical and Physical Sciences, UTS) Sard Theorem for the endpoint map in some sub-Riemannian manifolds, Alessandro Ottazzi (UNSW) Stability of Global Solutions of Polynomial Optimization Problems, Gue Myung Lee (Pukyong National University, Korea)

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— APPENDIX

Unstructured-grid ocean modeling: some applications with the FiniteVolume Coastal Ocean Model, Zhi Gang Lai (School of Marine Sciences, Sun Yat-Sen University, China) Electricity Spot Prices: A Model based on Stable CARMA Processes and its Estimation, Gernot Müller (Universität Augsburg) Random graphs and Szemeredi’s regularity lemma, Matthew Kwan (ETH Zurich) Monte Carlo Methods and Nonlinear Stochastic Optimal Control Approximation, Adrian Bishop (NICTA) Teaching and Learning Grants, Jonathan Kress, Shev MacNamara, Chris Tisdell and Norman Wildberger (UNSW) On tau functions arising from linear systems, Gordon Blower (Lancaster University) Stratification, Asymmetries and Impacts on Residual Flows in the Sydney Estuary, Ziyu Xiao (UNSW Canberra) Climate driven changes along a Western Boundary Current and its impact on lobster larval dispersal and survival, Paulina Cetina Heredia (ARC Centre for Excellence in Climate System Science, UNSW) Learning with Rademacher Observations, Richard Nock (NICTA & Université des Antilles et de la Guyane) Graphs, C*-algebras and equilibrium states, Aidan Sims (University of Wollongong)

September 2015 Dissipation of geostrophic eddy energy in the Southern Ocean, Maxim Nikurashin (Institute for Marine and Antarctic Studies, University of Tasmania)

Computational Science and the Health Program of Capital Markets CRC, Federico Girosi (University of Western Sydney) Five shades of graded rings, Roozbeh Hazrat (University of Western Sydney)

Entrainment in stochastic networks October 2015 with shared resources, Ruth J. Williams (University of California, San Computing with Jacobi-sum motives Diego) and Hecke Grossencharacters, (Mark Watkins University of Sydney) Operational Oceanography: a Naval Perspective, Chief Petty Officer Recent advances in geometric Richard Tolton (Operational METOC discrepancy, Josef Dick (UNSW) Centre, Royal Australian Navy) Introducing Dedalus: A new, efficient, Characterising the Semidiurnal accurate, and flexible toolkit for Tide of the Coral and Tasman geophysical & astrophysical fluid Seas, Lieutenant Daniel Boettger dynamics, Geoffrey Vasil (University (Operational METOC Centre, Royal of Sydney) Australian Navy) Fisher Information, stochastic Transcriptomics of Neuropsychiatric processes and generating functions, Disorders, Paul Lin (UNSW) Ali Eshragh (University of Newcastle) Adjoint action and nilpotent orbits Drinfeld Modules and Lifts of using representations of quivers, Frobenius in Positive Characteristic, Bernt Jensen (Gjovik University Arnab Saha (ANU) College) Extending Kummer’s proof of Fiducial Nonparametrics and linear Fermat’s Last Theorem to the regression, Bruce Brown (UNSW) Gaussian integers, Ramanan Rajkumar (UNSW) The Kashiwara-Vergne problem and flying rings in R^3, Zsuzsanna Differential Geometric Framework for Dancso (ANU) Coherent Structures, Fadi Antown Using journal articles to build and assess communication skills in undergraduate mathematics, Leon Poladian (School of Mathematics and Statistics, The University of Sydney) Asymptotics of cone theta functions, Gauss sums over parallelepipeds, and generalized Gram relations for polyhedral, Sinai Robins (Brown University and ICERM) Effective dimension for weighted ANOVA and anchored spaces, Chenxi Fan (UNSW) Deformation quantisations in algebra, Stephen Morgan (ANU) Variations in the level of recording of common health conditions and risk factors in hospital morbidity data, Ms Sanja Lujic (Centre for Big Data Research, Faculty of Medicine, UNSW) The Gambler’s Fallacy and the Art of Binomial and Multinomial Prediction, Ben O’Neill (UNSW Canberra)

(UNSW) Polynomial Multi-objective Optimization with Applications, Ke Ren (UNSW) Stability Methods for the Fractional SIR Model, Tyrone Liang (UNSW) Reaction-Subdiffusion models with application to Finance, Gurtek Gill (UNSW) A geodesic approach for finite time stable manifolds, James Ross (UNSW) Predicting patient response to hepatitis B treatment through minimal covariance networks, Daniel Le (UNSW) Bayes and Deterministic NavierStokes, Brian Powell (University of Hawaii at Manoa) Equivalence of quadratic forms over p-adic fields, Dorothy Cheung (UNSW) Singular Integral Operators and the T(1) Theorem, Dominic Vella (UNSW) Composition C*-Algebras, Raveen de Silva (UNSW) Convexity and Lipschitz functions, Terence Harris (UNSW)

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Gaps between primes in Beatty sequences, Liangyi Zhao (UNSW) Factorable moduli, subconvexity, and short exponential sums, Djordje Milicevic (Bryn Mawr College) Graph Limit Theory and Voting on Graphs, Barton Lee (UNSW) Superalgebras, Tracy Jiang (UNSW)

Where is NSW going?, Shima Ghassempour (Western Sydney University, CMCRC Sydney) Adaptive algorithms for PDEs, Michael Feischl (UNSW) Complex analysis and the exit time of planar Brownian motion (joint with pure mathematics), Greg Markowsky (Monash University)

seminar s

Stochastic Partial Differential Equation for a Measure-valued processes, William Liu (UNSW)

Fast Brownian path construction and its relation to Hermite spaces, Christian Irrgeher (Johannes Kepler Reflections after a year as a Teaching University Linz, Austria) Fellow at UNSW, Geoff Carroll Hankel determinants and irrationality (2015 Teaching Fellow - UNSW questions, Wadim Zudilin (University Mathematics and Statistics; and of Newcastle) Sydney Grammar) Zeroes of partial sums of the Categorification in representation zeta-function, Timothy Trudgian theory, Alistair Savage (University of (Australian National University) Ottawa) L^p maximal regularity for second Stochastic simulation with diffusion order Cauchy problems, Sachi in molecular biology, Per Lötstedt Srivastava (University of Delhi) (Uppsala University, Sweden) On the ranking of Test match Mixing and Tides off the East Coast batsmen, Richard Boys – (Newcastle of Australia, Robin Robertson University UK) (UNSW Canberra) Fast computation of the “Blending old and new: a tiny and semiclassical Schrödinger equation, obvious but very useful teaching Arieh Iserles (University of technique” and “Assessment for Cambridge) mastery learning in mathematics”, David Angell and Thomas Britz Domain Decomposition methods (UNSW) for the high frequency Helmholtz equation, Ivan Graham (University of Bath) November 2015 From cells to tissue: modelling the electrophysiology of the human heart, Kevin Burrage (University of Oxford and Queensland University of Technology) Multilevel Sequential Monte Carlo Samplers, Ajay Jasra (National University of Singapore) The Great Open Problem in Discrepancy Theory, William Chen (Macquarie University)

A noncommutative approach to topological insulators, Chris Bourne (ANU) Facial Structure of Convex Cones and Pataki Sandwich Theorem, Vera Roshchina (RMIT University)

hp-adaptive Interior Penalty FEM for Elliptic Obstacle Problems, Ernst P. Stephan (Leibniz University, Hanover) The tail assignment problem satisfying maintenance requirements with look-ahead constraints, Stephen Maher (Zuse Institute Berlin, Germany) Introduction into hierarchical matrices, Wolfgang Hackbusch (Max Planck Institute for Mathematics in the Sciences) Numerical tensor calculus, Wolfgang Hackbusch (Max Planck Institute for Mathematics in the Sciences) Construction of covering arrays, Yasmeen Shameen (Indian institute of Science Education and Research, Pune) Point-spread function reconstruction in ground-based astronomy, Raymond H. Chan (The Chinese University of Hong Kong)

January 2016 Personal experiences in teaching linear algebra, and teaching online, Gilbert Strang (Massachusetts Institute of Technology) A covariance matrix, a banded matrix, and a fast transform, Gilbert Strang (MIT) The Newton method: main developments and enhancements, Assen Donchev (Mathematical Reviews and The University of Michigan)

The Erdõs-Ko-Rado Theorem, generalisations and beyond, Adam Mammoliti (UNSW)

Some unitary representations of Thompson’s groups F and T, Vaughan Jones (Vanderbilt University)

Hypergraph colouring up to condensation, Peter Ayre (UNSW)

February 2016

Recurrence, measure rigidity and characteristic polynomial patterns in difference sets of matrices, Alexander Fish (University of Sydney)

Numerical tensor calculus with application to the stochastic Galerkin matrix, Wolfgang Hackbusch (Max Planck Institute for Mathematics in the Sciences, Germany)

A discrepancy bound for deterministic acceptance-rejection samplers, Houying Zhu (UNSW)

Coupled Continuous Time Random Maxima, Katharina Hees (Universität Heidelberg)

128

December 2015

The Future of Education, Jim Cooper (President & CEO, Maplesoft) Lp discrepancy of symmetrized Hammersley point sets, Ralph Kritzinger (Johannes Kepler University Linz) Multiplication of polynomials over finite fields, Michael Kaminski (Technion -- Israel Institute of Technology)

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— APPENDIX

Consecutive integers divisible by the The flux integral revisited: the number of their divisors, Florian Luca Lagrangian perspective, Daniel (University of the Witwatersrand) Karrasch (Technical University of Munich, Germany) Numerical solution of the timefractional Fokker-Planck equation High Dimensional Asymptotics for with general forcing, Kim Ngan Le the Naive Hotelling T^2 Statistic in (UNSW) Pattern Recognition, Kanta Naito (Shimane University, Japan) A review of Array-RQMC: Sorting methods and convergence rates, Origins of MATLAB, Cleve Moler Pierre L’Ecuyer (Universite de (MathWorks) Montreal) The classification of fusion The Role of the Statistician in categories via operator algebras, Numerical Analysis, Chris Oates Masaki Izumi (Kyoto University) (University of Technology, Sydney) The role of copositivity in optimality Vector-valued function spaces conditions and relaxation bounds, and their use in partial differential Immanuel Bomze (University of equations, Mark Veraar (TU Delft) Vienna, Austria) Dynamical systems of numbertheoretic origin in the theory of aperiodic order, Michael Baake (Bielefeld) Some results on parameters of finite groups quantitatively related to abelianity, Alexander Bors (Salzburg) Numerical computations with functions defined on the sphere and disk, Alex Townsend (MIT) Fredholm theory connected with a Douglis-Nirenberg system of differential equations over R^n, Melvin Faierman (UNSW) On the Hasse principle for del Pezzo surfaces of degrees 3 and 4, Jörg Jahnel (Siegen) Some problems in Number Theory, Gerry Myerson (Macquarie)

March 2016 Dynamics of the Leeuwin Current, and an observational reconstruction of the Leeuwin Current System, Ryo Furue (Japanese Agency for MarineEarth Science and Technology JAMSTEC) Continuous analogues of matrix factorizations, Alex Townsend (MIT) Gaps between Primes in an Arithmetic Progression, Lee Zhao (UNSW) On QMC design sequences generated by determinantal point processes, Masatake Hirao (Aichi Prefectural University, Nagakute)

Kneser’s type theorems in measurepreserving systems with applications to additive combinatorics, Alexander Fish (University of Sydney) Recent advances in domain reconstruction from electrical impedance tomography data, Janosch Rieger (Imperial College London) Divergent series: from Thomas Bayes’s bewilderment to today’s resurgence via the rainbow, Michael Berry (University of Bristol, UK) Quantum information science: a grand mathematical challenge, Steve Flammia (University of Sydney)

April 2016

Consistent Estimation of Linear Regression Models Using Matched Data, Artem Prokhorov (University of Sydney)

Long Lasting Learning, Ganes Ganesalingam (The University of Sydney)

May 2016

A Fast Chebyshev-Legendre Transform via Toeplitz-Hankel Structure, Marcus Webb (University of Cambridge) Chaos in dimension 2 and 3, Andy Hammerlindl (Monash University) Power bounded operators, similarity problems and the Blum Hanson property, Vladimir Muller (Czech Academy of Sciences) Zero Probability Theorem and the Final Solution of the Famous Jeffreys-Lindley Paradox, Miodrag Lovric (University of Kragujevac, Serbia) A new spectral method approach to singular integral equations, Richard Mikael Slevinsky (University of Oxford) Coordinates, canonicity, and cellularity, Robert Haraway (University of Sydney) “Beauty of Mathematics you haven’t seen”, W. Ramasinghe (University of Colombo, Sri Lanka) An Elementary Proof of the Convergence of Vieta’s Product, W. Ramasinghe (University of Colombo, Sri Lanka) How much do you trust your model?, Justin Domke (NICTA)

Primitive spectra of Lie superalgebras and Kac-Moody algebras, Kevin Coulembier (University of Sydney) All roads lead to Rome: From stochastic fluid processes to Brownian motions, Giang Nguyen (University of Adelaide) Optimal dividend control for a class of regime-switching diffusion models with capital injections, Jinxia Zhu (UNSW) Semi-magic squares and permutation matrices, Gerry Myerson (Macquarie University) The maths (and physics) of gravitational waves, Geraint Lewis (University of Sydney) Analysis of crop breeding trials using linear mixed models, Emi Tanaka (University of Wollongong) Some Aspects in the Analysis of Symbolic Data, Lynne Billard (University of Georgia, USA) Elements of Sea Level in a Changing Climate, Stephen Griffies (NOAA Geophysical Fluid Dynamics Laboratory & Princeton University) Mathematics and Knitting, Dr Julia Collins (University of Edinburgh)

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Multiple optimal stopping rules and their applications, Georgy Sofronov (Macquarie University) Hypergeometric motives, Mark Watkins (University of Sydney) Indirect Inference with Endogenously Missing Exogenous Variables, Eric Renault (Brown University) Minimum distance in a classical lattice from algebraic number fields, Min Sha (UNSW)

seminar s

June 2016 Towards a semi-algebraic combinatorics, János Pach (EPFL, Lausanne and Renyi Institute, Budapest)

Mathematical Writing, Franco Vivaldi (Queen Mary University of London) Estimating the spot volatility in presence of infinite variation jumps, Zhi Liu (University of Macau) Probabilistic Meshless Methods for Bayesian Inverse Problems, Chris Oates (University of Technology Sydney)

August 2016 Finite element methods for fractional diffusion problems: smooth and nonsmooth initial data, Kassem Mustapha (King Fahd University of Petroleum and Mineral, Dhahran)

July 2016

On the linear convergence of forward-backward splitting methods, Nghia T.A. Tran (Oakland University, USA)

Computationally Efficient, Highly Localized Kernel Bases on Manifolds, Joe Ward (Texas A&M University, College Station)

Blocking Strategies and Stability of Particle Gibbs Samplers, Sumeetpal Sidhu Singh (University of Cambridge)

Counting points on curves, Edgar Costa (Dartmouth College)

Euler-Maruyama approximation for SDEs with irregular coefficients, Dai Taguchi (Ritsumeikan University)

On the D.H. Lehmer problem, Tianping Zhang (Shaanxi Normal University) Nonsmooth, Nonconvex Regularization for Sparse Optimization, Xiaojun Chen (The Hong Kong Polytechnic University) Higher Order Markov Chains, Transition Probability Tensors and Stochastic Tensors, Liqun Qi (The Hong Kong Polytechnic University) Bayesian analysis of Earth System

Models and Observations, Balasubramanya Nadiga (Los Alamos National Laboratory) Reconstruction of 3D objects from their 2D cross-sections by subdivision schemes for sets, Nira Dyn (Tel Aviv University) Fast framelet transforms on manifolds, Yu Guang Wang (City University of Hong Kong) The surface signature of internal waves in the ocean, Philippe Guyenne (University of Delaware) ED STEM Demonstration, Simon Maxwell (Managing Director, Information Gateways Pty Ltd)

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Anomalous primes of the elliptic curve, Hourong Qin (Nanjing University) Exponential sums and the Linear Independence Conjecture, William Banks (University of Missouri) On the divisor problem in arithmetic progressions, Kui Liu (Qingdao University) On repeated values of the Riemann zeta function on the critical line, William D. Banks (University of Missouri)

Estimation of the Heuristic Switching Model using experimental data, Valentyn Panchenko (UNSW) Some fluid flows in porous media: Theories, experiments and applications, Herbert E. Huppert (Institute for Theoretical Geophysics, DAMTP, University of Cambridge and UNSW) Complex martingales and combinatorial enumeration, Mikhail Isaev (UNSW)

September 2016 Reflected Diffusions and (Bio) Chemical Reaction Networks, Ruth. J. Williams (The University of California, San Diego) 1. For those of you watching in black and white: Making the most of online lecture recordings, and 2. Engaging mathematics students with real time polling in lectures, Shane Keating and Quoc Thong Le Gia (UNSW) A Novel Case-Control Subsampling Approach for Rapid Model Exploration of Large Clustered Binary Data, Stephen Wright (University of Technology Sydney) Higher order FEM for the obstacle problem of the p-Laplacian, Lothar Banz (University of Salzburg) Isometries in Lie groups, Alessandro Ottazzi (UNSW) Approximations for weighted Kolmogorov-Smirnov distribution via boundary crossing probabilities, Nino Kordzakhia (Macquarie University)

Compact homogeneous manifolds with indefinite metric, Wolfgang Globke (The University of Adelaide)

Mapping western boundary currents with high frequency (HF) radar, Amandine Schaeffer and Matthew Archer (Oceanography Lab, UNSW Mathematics and Statistics)

Global ocean forecasting of the mesoscale, Gary Brassington (Bureau of Meteorology)

Quasi-particles and RogersRamanujan-type identities, Slaven Kozic (University of Sydney)

Formation of averages: a classical process, Werner Ricker (Catholic University of Eichstätt-Ingolstadt)

Ordinal Partition Networks Extracting dynamics from time series data, Michael Small (University of Western Australia)

Semiclassical bounds in measure spaces, Brian Jefferies (UNSW)

Depth-based nonparametric tests for homogeneity of functional data, Gery Geenens (UNSW)

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— APPENDIX

Prolate speroidal wave functions, Peter Donovan (UNSW)

L^p -Boundedness of the Hilbert Transform, Nathan Jackson (UNSW)

New Models for Symbolic Data, Scott Sisson (UNSW)

Better Polynomials for GNFS, Paul Zimmermann (INRIA)

Improving mathematical communication skills with individualised peer assessed assignments, Jonathan Kress (UNSW)

Combinatorics of the Dimer Model, Timothy Chan (UNSW)

A subfield lattice attack on overstretched NTRU assumptions, Shi Bai (INRIA, France) E-exams in the Red-Centre labs: why and how, Jonathan Kress (UNSW)

Single commutators and beyond, Ken Dykema (Texas A & M University)

Pushing the boundaries of authentic high-stakes assessment for the 21st century, Mathew Hillier (Monash University Office of Learning and Teaching, Monash University)

Efficient estimation of large approximate factor models using constrained principal components analysis, Rachida Ouysse (UNSW)

Identifying Boundaries in Spatial Modelling, Craig Anderson (University of Technology Sydney) Asymptotics of some families of orthonormal polynomials and an associated Hilbert space, Aleksandar Ignjatovic (UNSW School of Computer Science and Engineering)

October 2016 The life and work of Klaus Friedrich Roth, William Chen (Macquarie University) On the existence of abelian surfaces with everywhere good reduction, Lassina Dembele (University of Warwick) An analytic view of transcendence, Michael Coons (University of Newcastle) Contributions from certain statistical problems linked with life science, Sanjaya Dissanayake (The University of Sydney) Function Fields and Algebraic Curves, Peter Bradshaw (UNSW) Statistical Properties of Dynamical Systems by Quasicompactness of the Frobenius-Perron operator, Harry Gibbs (UNSW) Sign-definite formulations and frequency-robust preconditioned FEMs: Part 1, M. Ganesh (Colorado School of Mines) Maximal function characterizations for new local Hardy spaces on spaces of homogeneous type, The Anh Bui (Macquarie University)

An Introduction to Tur\â&#x20AC;&#x2122;an Numbers, Duncan Crowley (UNSW) How can mobile devices improve learning by enabling: instant and scaled feedback; and adaptive teaching?, Sen Katherine Tay (UNSW School of Mathematics and Statistics) Fractional differential equations: Beyond integer order Des, Manoj Kumar Palani (UNSW)

Direct intrusion of Gulf Stream warm-core ring water onto the MidAtlantic Bight continental shelf, Weifeng Gordon Zhang (Woods Hole Oceanographic Institution USA) Sign-definite formulations and frequency-robust preconditioned FEMs: Part 2, M. Ganesh (Colorado School of Mines) Counting points on geometrically hyperelliptic curves of genus three, Maike Massierer (UNSW) Wet gets wetter, salty gets saltier: using ocean observations to measure global water cycle change, Jan Zika (UNSW) Student Self-Assessment and SelfReporting of Mathematical Errors, James Gleeson (Brisbane Grammar School)

Approximating Neutral Density Surfaces using Cellular Automata, Antony Patterson (UNSW)

Eddy/tidal mixing and transport at the Antarctic margins, Andrew Stewart (University of California Los Angeles USA)

New insights into dead water, Eric Hester (University of Sydney)

November 2016

New directions for projective quadrangle geometry, Sebastian Blefari (UNSW)

Linear Algebra with Errors, Coding Theory, Cryptography and Fourier Analysis on Finite Groups, Steven Galbraith (University of Auckland)

Point counting on arbitrary varieties, David Harvey (UNSW) Detecting integrals in reversible maps, Timothy Siu (UNSW) Choose Maths: An Australian Approach Towards Increasing the Participation of Women in Mathematics, Inge Koch, (Executive Director, Choose Maths - Australian Mathematical Sciences Institute AMSI)

Local-global questions on curves of genus one, Felipe Voloch (University of Canterbury) On the security of supersingular isogeny cryptosystems, Steven Galbraith (The University of Auckland) The ABC conjecture, Felipe Voloch (University of Canterbury)

Beyond the limit of infinite timescale separation: Edgeworth approximations and homogenisation, Georg Gottwald (University of Dynamics of monomials and Dickson Sydney) polynomials over finite fields, Johann Blanco (UNSW) Primes, Complexity and Computation: How Big Number Electrical Impedance Tomography theory resolves the Goldbach in Cardiology and Neurology, Alistair Conjecture, Norman Wildberger McEwan and Andrea Samore (UNSW) (University of Sydney Electrical Engineering) The Completability of partial Latin squares, Tyson Churcher (UNSW)

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The Visiting Teacher Fellowship and its Sphere of Influence, Paul Hancock (2016 Teaching Fellow UNSW Mathematics and Statistics; and Woonona High School)

THAT KIND OF MOTION WE CALL HEAT - A major societal problem for the 21st century, Giulio Casati (Center for Complex Systems, ComoItaly)

The Energetics of Southern Ocean Upwelling, Paul Spence (ARC Centre for Excellence in Climate Systems Science)

Subfactors with infinite representation theory, Dietmar Bisch (Vanderbilt University)

Fast algorithms for the Kolakoski sequence, Richard Brent (ANU and University of Newcastle)

seminar s

Arithmetic aspects of piecewiselinear and driven-linear dynamics, John Roberts (UNSW) Fast computation on the real line, Arieh Iserles (University of Cambridge) Moore-Tachikawa conjecture and chiral algebras of class S, Tomoyuki Arakawa (Kyoto University) Drivers and controls of Antarctic Bottom Water upwelling, Casimir de Lavergne (UNSW) Spectral multipliers for subLaplacians: Topological versus subRiemannian dimension, Detlef Müller (University of Kiel) Modularity of Random Graphs, Fiona Skerman (University of Bristol)

December 2016 Recent Inspection Techniques on Imaging and Data Science for Complex Data

Analysis, Henry Y.T. Ngan (Hong Kong Baptist University)

January 2017 On Monte Carlo, Multilevel Monte Carlo and Multi Index Monte Carlo, Raul Tempone (King Abdullah University of Science and Technology, Saudi Arabia)

Workshop/seminar on using Turnitin, Jonathan Kress (UNSW) Low-rank tensor methods for solving PDEs with uncertain coefficients and Bayesian Update surrogate, Alexander Litvinenko (King Abdullah University of Science and Technology, Saudi Arabia)

A dynamical systems approach to bone remodelling, Stefan Siegmund (Dresden University of Technology, Germany) Distributing points on spheres and other manifolds, Juan G. Criado del Rey (University of Cantabria)

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Elementary construction of the canonical basis in finite type and connections with crystal combinatorics. Peter Tingley (Loyola University Chicago) Probability, Algebras, Analysis, and Numerics, Hermann G. Matthies (Institute of Scientific Computing, TU Braunschweig) Tropical Cyclones’ Influence on the Ocean, Gurvan Madec (French National Centre for Scientific Research, LOCEAN-IPSL)

Duality between Poisson cohomology Choose your own adventure: Increasing motivation for Stats and homology and BV-Structures, Literacy in large first year cohort, Di (Quanshui Wu) Fudan University Warren (School of Mathematics and Rigidity of hypersurfaces and Statistics the University of Sydney) weighted Hsiung-Minkowski formulas, Kwok-kun Kwong (National The McKay Correspondence, Tarig Abdelgadir (UNSW) Cheng Kung University) Extensions of Banach’s fixed point theorem and applications, Marija Cvetkovic´ (University of Niš, Serbia) Localization and continuation of nonlinear eigenvalues, Wolf-Juergen Beyn (Bielefeld University, Germany) Algebra by pictures, Emily Peters (Loyola University Chicago)

March 2017 Counting integer polynomials with multiplicatively dependent roots, Min Sha (Macquarie University) Improvements to point counting on hyperelliptic curves of genus two, Maike Massierer (UNSW) A Self-Exciting Threshold JumpDiffusion Model for Option Valuation, Tak Kuen Siu (Macquarie University)

Algebraization of Operator Theory, Gonality preserving lifts of low genus Lia Vas (University of the Sciences, curves, Jan Tuitman (KU Leuven) Philadelphia, USA)

February 2017

Situation Statistics in Baseball, James H Albert (Bowling Green State University)

Nearshore Response of Mesoscale and Submesoscale Dynamics at Tropical Western Pacific Islands, Travis Schramek (Scripps Institution of Oceanography USA)

Projections in vector spaces over finite fields, Changhao Chen (UNSW) Bayesian Probabilistic Numerical Computation, Chris Oates (University of Technology Sydney) Commutators, Factorization and Function Spaces, Ji Li (Macquarie University) Model Misspecification in Approximate Bayesian Computation: Consequences and Diagnostics, David Frazier (Monash University)

April 2017 Hamilton cycles in random hypergraphs, Catherine Greenhill (UNSW) Geodesics in the Condition Metric, Juan G. Criado del Rey (University of Cantabria, Spain) Continued fractions of some Mahler functions and applications to Diophantine approximation, Dzmitry Badziahin (University of Sydney) Threshold functions for systems of equations in random sets, Ana Zumalacarregui (UNSW)

Equity in Mathematics Education, Jim Data-based Quantitative Analysis under Nonlinear Expectations, Shige Pettigrew – (Mathematics Support Peng (Shandong University) Hub, Western Sydney University)

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— APPENDIX

Five-fold symmetry, Schiffler points, and the twisted icosahedron, Norman Wildberger (UNSW) Colouring (cap, even hole)-free graphs, Shenwei Huang (UNSW School of Computer Science and Engineering)

Torsion points and effective Bogomolov’s conjecture, Debargha Banerjee (Indian Institute of Science Education and Research, Pune) Efficient simulation for dependent rare events with applications to extremes, Patrick Laub (The University of Queensland)

A Bayesian Semi-parametric Approach for Random Coefficients Deterministically factoring integer Demand Framework, Yong Song (The polynomials modulo many primes University of Melbourne) simultaneously, Daniel Altman (UNSW) Approximating Consensus with Graph Limits, Barton Lee (UNSW Dynamics with Inequalities, David Business School and School of Stewart (University of Iowa) Computer Science and Engineering) Derived equivalence and Robust mechanisms for chaos, Amie Grothendieck ring of varieties, Wilkinson (University of Chicago) Shinnosuke Okawa (Osaka University)

May 2017

A quick introduction to using OpenLearning for online courses, Joshua Capel, Daniel Mansfield and Norman Wildberger (UNSW)

The Guide to the Expression of Uncertainty in Measurement - Bayes, doped horses and chemistry, Brynn Hibbert (FRSN - School of Chemistry, Fast Approximate Inference for Arbitrarily Large Statistical Models UNSW) via Message Passing, Matt Wand Optimization with bubbles, Ana (University of Technology Sydney) Zumalacarregui (UNSW) Cyclotomic Root Systems, Ruth Sparse approximate inference Corran (The American University of for spatio-temporal point process Paris) models with application to armed The Witt group of braided fusion conflict, Andrew Zammit Mangion categories, Dmitri Nikshych (University of Wollongong) (University of New Hampshire) Old Babylonian mathematics and Alzheimer’s disease detection via the mystery of Plimpton 322, Daniel machine learning, James Hortle Mansfield & Norman Wildberger (UNSW) (UNSW) Mathematics in Medicine: Optimising Image Acquisition and Cancer Treatment in Radiotherapy, Michelle Dunbar (University of Sydney)

Optimising image acquisition for fourdimensional cone beam computed tomography, Christopher Rock (UNSW)

Wavelet Methods for Estimating Erratic Regression Means in the Presence of Measurement Error, Spiridon Penev (UNSW)

Demonstration of the Ed Stem discussion platform, Scott Maxwell (Information Gateways Pty Ltd)

What are skew monoidal categories?, John Bourke (Macquarie University) Martingales for random trees, Mikhail Isaev (UNSW) A general theory of canonical lifts, James Borger (ANU) Differential modular forms, Debargha Banerjee (IISER Pune)

June 2017 Bicategories and higher categories, Adrian Miranda (UNSW) 1-level density of low-lying zeros of some families of L-functions, Peng Gao (Beihang University, Beijing, China) Slicing the stars, Joseph Gunther (City University of New York)

Polar Vortices: Earth, Mars, and beyond, Darryn Waugh (Johns Hopkins University and UNSW) An improved wave spectral characterisation of the Southern Ocean, Peter McComb (MetOcean Solutions, New Zealand)

August 2017 The good old Brauer algebra from a modern point of view, Michael Ehrig (University of Sydney) Unexpected quadratic points on random hyperelliptic curves, Joseph Gunther (University of WisconsinMadison) Incomplete Gauss sums modulo primes, Bryce Kerr (UNSW) Short Selling with Margin Risk and Recall Risk, Hard Hulley (UTS) Counting via Stochastic Enumeration, Dirk P. Kroese (The University of Queensland) Low-frequency excitation in unbounded 3D dielectric media: Formulation, analysis and applications, M. Ganesh (Colorado School of Mines, USA) Constructing (0,1)-matrices with large minimal defining sets, Nicholas Cavenagh (University of Waikato) A coupled model of boundary and balanced flow, William Dewar (Florida State University) A generalization of the classical Motzkin theorem, José Vicente Pérez (University of Alicante, Spain) How, what and why of assessment in first year mathematics/statistics, Jonathan Kress (UNSW) The multiscale regularizing method for solving Ill-posed problems, Min Zhong (Southeast University, Nanjing, PR China) Explicit estimates on prime numbers, Tim Trudgian (UNSW Canberra) Hypergeometric motives for rigid hypergeometric Calabi-Yau threefolds, Wadim Zudilin (Radboud University Nijmegen, Netherlands and the University of Newcastle NSW, Australia)

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Grosswald’s conjecture on primitive roots, Tim Trudgian (UNSW Canberra) Assessment in mathematics debate and discussion, John Steele, Jonathan Kress and others (UNSW)

Quantum Resistant vs Classical Cryptography, Danesh Jogia and Timothy McMahon (Australian Signals Directorate) On the distribution of an+b modulo 1, Kam Hung Yau (UNSW)

A study of constrained Navier-Stokes equations and related problems, Gaurav Dhariwal (University of York, UK)

Some finite element methods for the three-field formulation of elasticity, Bishnu Lamichhane (University of Newcastle, Australia)

The space of geometric realizations of a compact 4-manifold, Boris Lishak (University of Sydney)

The Woods hole fixed point formula, Peter Donovan (UNSW)

Reward Observing Restless Multi Armed Bandits, Yoni Nazarathy (University of Queensland) Optimal forecast reconciliation, Rob J Hyndman (Monash University) On operads and infinity-operads, Philip Hackney (Macquarie University) Twisted recurrence via polynomial walks, Alexander Fish (University of Sydney) Billinear forms with Kloosterman sums, Igor Shparlinski (UNSW)

September 2017 Assessment in mathematics and statistics - debate and discussion on our practice and procedures, Jonathan Kress and others (UNSW)

Quantifying smoking levels in Australia over the last century and their impact on lung cancer, John Murray (UNSW and Cancer Research Division, NSW Cancer Council)

October 2017 Equivariant invariants for algebraic varieties with finite action, Mircea Voineagu (UNSW) Global ocean circulation, water-mass transformation, and mixing, Sjoerd Groeskamp (UNSW Mathematics and Statistics)

Bilevel Optimization and the Principal-agent Problem, Aidan Wong (UNSW) Alternating Direction Method of Multipliers for Non-smooth and Nonconvex Optimization: Convergence, Complexity and Applications, Peter Wu (UNSW) Challenges in the representation theory of finite groups, Geordie Williamson (University of Sydney) Optimising 4D-CBCT gantry trajectory using Time-Expanded Decision Networks, Daniel Picone (UNSW) A posteriori error estimation for the finite element method, Kenny Lau (UNSW) Protein Diffusion on Cell Membranes, Aaron Kaw (UNSW) Learning on Grassmann Manifolds, Junbin Gao (University of Sydney)

An introduction to sub-Riemannian geometry through its applications, Alessandro Ottazzi (UNSW)

Conjugation Orbits of Loxodromic Pairs in SU(n,1), Krishnendu Gongopadhyay (Indian Institute of Science Education and Research IISER Mohali)

Generating functions associated to polynomial invariants and their applications, Matthew Evat (UNSW)

Quotient Categories and Grothendieck’s Splitting Theorem, Zac Murphy (UNSW)

Representation theory of finiteOn the structure of optimal dimensional graded algebras with martingale transport plans in general triangular decomposition, Ulrich Thiel dimensions, Nassif Ghoussoub (University of Sydney) (University of British Columbia) Planar algebra presentations for the Inclusion between Morrey spaces Drinfeld center of PSU(2)q, Cain and weak Morrey spaces, Hendra Edie-Michell (Australian National Gunawan (Institut Teknologi University) Bandung, Indonesia) Classifying and clustering functional Interpolation of Non-commutative data using projections, Aurore Hardy Spaces, Gregory Karanikas Delaigle (University of Melbourne) (UNSW) Optimal control in stochastic LandauFrom NewHope to Kyber, Peter Lifshitz-Gilbert equation, Ananta Schwabe – (Radboud University, K. Majee (University of Tübingen, Netherlands) Germany) Curious continued fractions, Andrew A nice proof of Wei’s duality Hone University of Kent, UK and theorem, Thomas Britz (UNSW) UNSW) Recent progress on predicting Algorithms for generating uniformly breaking onset for water waves and random graphs, Michela Castagnone modelling wave breaking influence in (UNSW) sea state forecast models, Michael L. Banner (UNSW)

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Using random forests to evaluate predicting factors of loan default, Miriam Greenbaum (UNSW)

Decomposition Methods for Recursive Circle Packing, Stephen Maher (Lancaster University) Block Numerical Range – A Localisation of the Spectrum, Matthew Hircock (UNSW) Reflections on my year as the Visiting Teaching Fellow, what I have learnt and what I would like to do with my knowledge from my time here, Margaret Clemson (2017 Teaching Fellow - UNSW Mathematics and Statistics; and Kincoppal-Rose Bay School) On Approximation for Fractional Stochastic Partial Differential Equations on the Sphere, Yu Guang Wang (La Trobe University, Melbourne and UNSW) A Quantum McKay Correspondence, Andrew Schopieray (UNSW)

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— APPENDIX

Metrical Theory for the sets of Dirichlet non-Improvable numbers, Mumtaz Hussain (La Trobe University)

Stochastic Modelling of Urban Structure, Mark Girolami (University of Warwick UK / Imperial College London UK)

A crossbred algorithm for solving December 2017 Boolean polynomial systems, Antoine Joux (Laboratoire d’informatique de Points on manifolds: covering, Paris 6) Monte Carlo type integration, The science of surfing: An emotional and approximation, Martin Ehler review, Paul Spence (UNSW Climate (University of Vienna) Change Research Centre) A semi-random construction of small Nonlocal wave propagation in an covering arrays, Tamás Mészáros unbounded multi-scale medium, (Freie Universität Berlin) Jiwei Zhang – (Beijing Computational Strong Cosmic Censorship, Jim Science Research Center) Isenberg (University of Oregon) SCIP-Jack: A Solver for Steiner Tree Problems in Graphs and their Relatives, Thorsten Koch Technische Universitaet TU and Zuse Institute Berlin ZIB) Mathematical Heroes and Social Justice, Nassif A Ghoussoub (University of British Columbia)

November 2017 Modelling evolution of postmenopausal human longevity: The Grandmother Hypothesis, Peter Kim (University of Sydney) Monte Carlo Simulation and Conditional Monte Carlo, Søren Asmussen (Aarhus University) Multilinear Exponential Sums and Collinear Triples, Simon Macourt (UNSW) Understanding our family values, Liangyi Zhao (UNSW) Adaptive and higher-order time domain boundary elements for the wave equation, Ernst P Stephan (Leibniz Universitat Hannover) Integer Sequences Arising from Graph Polynomials: An Application of a Theorem by C. Blatter and E. Specker, (Johann Makowsky - Technion – Israel Institute of Technology) Multi-index Monte Carlo and PDEs with random coefficients, Michael Feischl (UNSW) The use of customized feedback using NUMBAS in MATH1081, Daniel Mansfield (UNSW)

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PUBLICATIONS 2015 - 2017 2015 PUBLICATIONS 1.

R. J. R. Abel, Existence of five MOLS of orders 18 and 60, Journal of Combinatorial Designs 23 (2015), no. 4, 135-139.

R. J. R. Abel, R. F. Bailey, A. C. Burgess, P. Danziger and E. Mendelsohn, On generalized Howell designs with block size three, Designs, Codes and Cryptography 81 (2015), no. 2, 365-391.

R. J. R. Abel and Y. Li, Some constructions for t pairwise orthogonal diagonal Latin squares based on difference matrices, Discrete Mathematics 338 (2015), no. 4, 593-607. C. Aistleitner and J. Dick, Functions of bounded variation, signed measures, and a general KoksmaHlawka inequality, Acta Arithmetica 167 (2015), no. 2, 143-171.

10. L. H. Armbrecht, A. Schaeffer, M. Roughan and L. K. Armand, Interactions between seasonality and oceanic forcing drive the phytoplankton variability in the tropical-temperate transition zone (~ 30 s) of Eastern Australia, Journal of Marine Systems 144 (2015), 92-106. 11. L. H. Armbrecht, P. A. Thompson, S. W. Wright, A. Schaeffer, M. Roughan, J. Henderiks and L. K. Armand, Comparison of the cross-shelf phytoplankton distribution of two oceanographically distinct regions off Australia, Journal of Marine Systems 148 (2015), 26-38.

13. B. Baeumer, M. Kovács, M. Meerschaert, R. Schilling and P. Straka, Reflected spectrally negative stable processes and their governing equations, Transactions of the American Mathematical Society 368 (2015), no. 1, 227-248.

23. J. S. Brauchart, J. Dick and L. Fang, Spatial low-discrepancy sequences, spherical cone discrepancy, and applications in financial modeling, Journal of Computational and Applied Mathematics 286 (2015), 28-53.

W. A. Al-Zyoud, R. M. Hynson, L. A. Ganuelas, A. C. Coster, A. P. Duff, M. A. Baker, A. G. Stewart, E. Giannoulatou, J. W. Ho and K. Gaus, Binding of transcription factor GabR to DNA requires recognition of DNA shape at a location distinct from its cognate binding site, Nucleic Acids Research 44 (2015), no. 3, 14111420.

14. F. Bai, F. Chen and K. Chen, Semiparametric estimation of a selfexciting regression model with an application in recurrent event data analysis, Statistica Sinica (2015), 1503-1526.

P. Amster and C. Rogers, On a Ermakov-Rainlevé II reduction in three-ion electrodiffusion. A Dirichlet boundary value problem, Discrete & Continuous Dynamical Systems-A 35 (2015), no. 8, 3277-3292.

16. G. Bino, S. A. Sisson, R. T. Kingsford, R. F. Thomas and S. Bowen, Developing state and transition models of floodplain vegetation dynamics as a tool for conservation decision-making: A case study of the Macquarie Marshes Ramsar wetland, Journal of Applied Ecology 52 (2015), no. 3, 654-664.

P. Amster and C. Rogers, On Dirichlet two-point boundary value problems for the Ermakov–Painlevé IV equation, Journal of Applied Mathematics and Computing 48 (2015), no. 1-2, 71-81.

9.* C. N. Angstmann, I. C. Donnelly, B. I. Henry, T. Langlands and P. Straka, Generalized continuous time random walks, master equations, and fractional Fokker--Planck equations, SIAM Journal on Applied Mathematics 75 (2015), no. 4, 14451468.

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21. S. Boufous and J. Olivier, Recent trends in cyclist fatalities in Australia, Injury prevention 22 (2015), no. 4, 284-287. 22. J. Bourgain, S. Konyagin and I. Shparlinski, Character sums and deterministic polynomial root finding in finite fields, Mathematics of Computation 84 (2015), no. 296, 2969-2977.

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102. R. Heyman and I. E. Shparlinski, On the greatest common divisor of shifted sets, Journal of Number Theory 154 (2015), 63-73.

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103. D. P. Hibar, J. L. Stein, M. E. Renteria, A. Arias-Vasquez, S. Desrivières, N. Jahanshad, R. Toro, K. Wittfeld, L. Abramovic and M. Andersson, Common genetic variants influence human subcortical brain structures, Nature 520 (2015), no. 7546, 224.

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173. D. Potapov, A. Skripka and F. Sukochev, Trace formulas for resolvent comparable operators, Advances in Mathematics 272 (2015), 630-651.

163. J. M. Murray, O. Stancevic, M. Lütgehetmann, K. Wursthorn, J. Petersen and M. Dandri, Variability in long-term hepatitis B virus dynamics under antiviral therapy, Journal of Theoretical Biology 391 (2015), 7480.

174. D. Potapov, F. Sukochev and A. Tomskova, On the Arazy conjecture concerning Schur multipliers on Schatten ideals, Advances in Mathematics 268 (2015), 404-422.

164. C. Orbe, P. A. Newman, D. W. Waugh, M. Holzer, L. D. Oman, F. Li and L. M. Polvani, Airmass origin in the Arctic. Part I: Seasonality, Journal of Climate 28 (2015), no. 12, 4997-5014. 165. C. Orbe, P. A. Newman, D. W. Waugh, M. Holzer, L. D. Oman, F. Li and L. M. Polvani, Air-mass origin in the Arctic. Part II: Response to increases in greenhouse gases, Journal of Climate 28 (2015), no. 23, 91059120. 166. A. Ostafe and M. Sha, On the quantitative dynamical Mordell–Lang conjecture, Journal of Number Theory 156 (2015), 161-182. 167. R. Pawlowicz, R. Feistel, T. McDougall, P. Ridout, S. Seitz and H. Wolf, Metrological challenges for measurements of key climatological observables part 2: Oceanic salinity, Metrologia 53 (2015), no. 1, R12. 168. T. Peacock, G. Froyland and G. Haller, “Introduction to focus issue: Objective detection of coherent structures,” AIP Publishing, 2015. 169. S. S. Pegler, E. L. Bain, H. E. Huppert and J. A. Neufeld, Fluid invasion of an unsaturated leaky porous layer, Journal of Fluid Mechanics 777 (2015), 97-121. 170. S. V. Pereverzyev, I. H. Sloan and P. Tkachenko, Parameter choice strategies for least-squares approximation of noisy smooth functions on the sphere, SIAM Journal on Numerical Analysis 53 (2015), no. 2, 820-835. 171. G. W. Peters and P. V. Shevchenko, Advances in heavy tailed risk modeling: A handbook of operational risk, John Wiley & Sons, 2015.

175. D. Potapov, F. Sukochev, A. Usachev and D. Zanin, Singular traces and perturbation formulae of higher order, Journal of Functional Analysis 269 (2015), no. 5, 1441-1481. 176. I. W. Renner, J. Elith, A. Baddeley, W. Fithian, T. Hastie, S. J. Phillips, G. Popovic and D. I. Warton, Point process models for presence‐only analysis, Methods in Ecology and Evolution 6 (2015), no. 4, 366-379. 177. K.-A. Richards, G. W. Peters and W. Dunsmuir, Heavy-tailed features and dependence in limit order book volume profiles in futures markets, International Journal of Financial Engineering 2 (2015), no. 03, 1550033. 178. J. A. Roberts and D. Jogia, Birational maps that send biquadratic curves to biquadratic curves, Journal of Physics A: Mathematical and Theoretical 48 (2015), no. 8, 08FT02. 179. J. A. Roberts and D. T. Tran, Signatures over finite fields of growth properties for lattice equations, Journal of Physics A: Mathematical and Theoretical 48 (2015), no. 8, 085201. 180. J. A. Roberts and F. Vivaldi, Arithmetic exponents in piecewiseaffine planar maps, Physica D: Nonlinear Phenomena 298 (2015), 1-12. 181. O. Roche-Newton and I. E. Shparlinski, Polynomial values in subfields and affine subspaces of finite fields, The Quarterly Journal of Mathematics 66 (2015), no. 2, 693-706. 182. C. Rödenbeck, D. C. Bakker, N. Gruber, Y. Iida, A. R. Jacobson, S. Jones, P. Landschützer, N. Metzl, S.-i. Nakaoka and A. Olsen, Databased estimates of the ocean carbon sink variability–first results of the surface ocean pCO2 Mapping intercomparison (SOCOM), Biogeosciences 12 (2015), 72517278.

183. C. Rogers, G. Saccomandi and L. Vergori, Nonlinear elastodynamics of materials with strong ellipticity condition: Carroll-type solutions, Wave Motion 56 (2015), 147-164. 184. F. Roquet, G. Madec, T. J. McDougall and P. M. Barker, Accurate polynomial expressions for the density and specific volume of seawater using the TEOS-10 standard, Ocean Modelling 90 (2015), 29-43. 185. M. Roughan, A. Schaeffer and I. M. Suthers, “Sustained ocean observing along the coast of southeastern Australia: Nsw-imos 2007–2014,” Coastal ocean observing systems, Elsevier, 2015, pp. 76-98. 186. A. Saket, W. Peirson, M. Banner and X. Barthelemy, An experimental investigation of extreme water velocities and deep water wave breaking, Australasian Coasts & Ports Conference 2015: 22nd Australasian Coastal and Ocean Engineering Conference and the 15th Australasian Port and Harbour Conference, Engineers Australia and IPENZ, 2015, pp. 785. 187. T. Sasse, B. McNeil, R. Matear and A. Lenton, Quantifying the influence of CO2 seasonality on future aragonite undersaturation onset, Biogeosciences 12 (2015), no. 20, 6017. 188. A. Schaeffer and M. Roughan, Influence of a western boundary current on shelf dynamics and upwelling from repeat glider deployments, Geophysical Research Letters 42 (2015), no. 1, 121-128. 189. E. Semenov, F. Sukochev, A. Usachev and D. Zanin, Banach limits and traces on L1,∞, Advances in Mathematics 285 (2015), 568-628. 190. M. Sha, The arithmetic of Carmichael quotients, Periodica Mathematica Hungarica 71 (2015), no. 1, 11-23. 191. M. Sha and I. Shparlinski, LangTrotter and Sato-Tate distributions in single and double parametric families of elliptic curves, Acta Arithmetica 170 (2015), no. 4, 299325. 192. I. Shparlinski, On the product of small Elkies primes, Proceedings of the American Mathematical Society 143 (2015), no. 4, 1441-1448. 193. I. E. Shparlinski, Cayley graphs generated by small degree polynomials over finite fields, SIAM Journal on Discrete Mathematics 29 (2015), no. 1, 376-381.

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141

194. I. E. Shparlinski, Close values of shifted modular inversions and the decisional modular inversion hidden number problem, Advances in Mathematics of Communications 9 (2015), no. 2. 195. I. E. Shparlinski, Distribution of polynomial discriminants modulo a prime, Archiv der Mathematik 105 (2015), no. 3, 251-259. 196. I. E. Shparlinski, Groups generated by iterations of polynomials over finite fields, Proceedings of the Edinburgh Mathematical Society 59 (2015), no. 1, 235-245. 197. I. E. Shparlinski, On small gaps between the elements of multiplicative subgroups of finite fields, Designs, Codes and Cryptography 80 (2015), no. 1, 6371. 198. I. E. Shparlinski, Points on varieties over finite fields in small boxes, SCHOLAR—a Scientific Celebration Highlighting Open Lines of Arithmetic Research 655 (2015), 209. 199. I. E. Shparlinski, Small discriminants of complex multiplication fields of elliptic curves over finite fields, Czechoslovak Mathematical Journal 65 (2015), no. 2, 381-388. 200. I. E. Shparlinski, Systems of congruences with products of variables from short intervals, Bulletin of the Australian Mathematical Society 93 (2015), no. 3, 364-371. 201. I. E. Shparlinski and A. V. Sutherland, On the distribution of Atkin and Elkies primes for reductions of elliptic curves on average, LMS Journal of Computation and Mathematics 18 (2015), no. 1, 308322. 202. I. Sloan, What’s new in highdimensional integration?–designing quasi-Monte Carlo for applications, Proceedings of the ICIAM, Beijing, China (L. Guo and Z. Ma eds), Higher Education Press, Beijing (2015), 365-386. 203. E. Spodarev, P. Straka and S. Winter, Estimation of fractal dimension and fractal curvatures from digital images, Chaos, Solitons & Fractals 75 (2015), 134-152. 204. R. K. Standish, Mechanical generation of networks with surplus complexity, Australasian Conference on Artificial Life and Computational Intelligence, Springer, 2015, pp. 387394.

142

205. P. Straka and S. Fedotov, Transport equations for subdiffusion with nonlinear particle interaction, Journal of Theoretical Biology 366 (2015), 71-83.

215. R. Vaisman, Z. I. Botev and A. Ridder, Sequential Monte Carlo for counting vertex covers in general graphs, Statistics and Computing 26 (2015), no. 3, 591-607.

206. S.-X. Tan, K. Fisher-Wellman, D. Fazakerley, Y. Ng, H. Pant, J. Li, C. Meoli, A. C. Coster, J. Stockli and D. E. James, Selective insulin resistance in adipocytes, Journal of Biological Chemistry (2015), jbc. M114. 623686.

216. C. M. Vajdic, S. M. Pour, J. Olivier, A. Swart, D. L. O’Connell, M. O. Falster, N. S. Meagher, L. Mao, A. E. Grulich and D. A. Randall, The impact of blood-borne viruses on causespecific mortality among opioid dependent people: An Australian population-based cohort study, Drug and Alcohol Dependence 152 (2015), 264-271.

207. X. Tang, Z. Hong, Y. Hu and H. Lian, Gaussian process models for non parametric functional regression with functional responses, Communications in Statistics-Theory and Methods 44 (2015), no. 16, 3428-3445. 208. C. Thomas, P. Blennerhassett, A. P. Bassom and C. Davies, The linear stability of a stokes layer subjected to high-frequency perturbations, Journal of Fluid Mechanics 764 (2015), 193-218. 209. C. C. Tisdell, Maximal solutions to fractional differential equations, Fractional Differential Calculus 5 (2015), no. 1, 79-85. 210. C. C. Tisdell, When do fractional differential equations have solutions that are bounded by the MittagLeffler function?, Fractional Calculus and Applied Analysis 18 (2015), no. 3, 642-650. 211. C. C. Tisdell and M. Holzer, Analysis of the boundary value problem associated with the nonrelativistic Thomas–Fermi equation for heavy atoms in intense magnetic fields, Differential Equations & Applications 7 (2015), 27-41. 212. I. Tregubov and T. Tran, A Galerkin method with spherical splines for the shallow water equations on a sphere: Error analysis, Numerische Mathematik 129 (2015), no. 4, 783814. 213. V. W.-W. Tsai, L. Macia, C. FeinleBisset, R. Manandhar, A. Astrup, A. Raben, J. K. Lorenzen, P. T. Schmidt, F. Wiklund and N. L. Pedersen, Serum levels of human MIC-1/ GDF15 vary in a diurnal pattern, do not display a profile suggestive of a satiety factor and are related to BMI, PLoS ONE 10 (2015), no. 7, e0133362. 214. N. H. Tuan, V. A. Khoa and T. Tran, On an inverse boundary value problem of a nonlinear elliptic equation in three dimensions, Journal of Mathematical Analysis and Applications 426 (2015), no. 2, 1232-1261.

217. E. van Sebille, S. Waterman, A. Barthel, R. Lumpkin, S. R. Keating, C. Fogwill and C. Turney, Pairwise surface drifter separation in the western Pacific sector of the Southern Ocean, Journal of Geophysical Research: Oceans 120 (2015), no. 10, 6769-6781. 218. M. Virah-Sawmy, J. Stoklosa and J. Ebeling, A probabilistic scenario approach for developing improved reduced emissions from deforestation and degradation (REDD+) baselines, Global Ecology and Conservation 4 (2015), 602-613. 219. M. Wadolowski, R. Bruno, A. Aiken, C. Stone, J. Najman, K. Kypri, T. Slade, D. Hutchinson, N. McBride and R. P. Mattick, Sipping, drinking, and early adolescent alcohol consumption: A cautionary note, Alcoholism: Clinical and Experimental Research 39 (2015), no. 2, 350-354. 220. D. M. Walker, A. Tordesillas, N. Brodu, J. A. Dijksman, R. P. Behringer and G. Froyland, Self-assembly in a near-frictionless granular material: Conformational structures and transitions in uniaxial cyclic compression of hydrogel spheres, Soft Matter 11 (2015), no. 11, 21572173. 221. J. C. Walsh, C. N. Angstmann, I. G. Duggin and P. M. Curmi, Molecular interactions of the Min protein system reproduce spatiotemporal patterning in growing and dividing Escherichia coli cells, PLoS ONE 10 (2015), no. 5, e0128148. 222. D. I. Warton, New opportunities at the interface between ecology and statistics, Methods in Ecology and Evolution 6 (2015), no. 4, 363-365. 223. D. I. Warton, F. G. Blanchet, R. B. O’Hara, O. Ovaskainen, S. Taskinen, S. C. Walker and F. K. Hui, So many variables: Joint modeling in community ecology, Trends in Ecology & Evolution 30 (2015), no. 12, 766-779.

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224. D. I. Warton, B. Shipley and T. Hastie, Cats regression–a model-based approach to studying trait-based community assembly, Methods in Ecology and Evolution 6 (2015), no. 4, 389-398.

234. J. Zhu and F. Chen, Dividend optimization under reserve constraints for the Cramér–Lundberg model compounded by force of interest, Economic Modelling 46 (2015), 142-156.

225. A. N. Williams, S. D. Mooney, S. A. Sisson and J. Marlon, Exploring the relationship between Aboriginal population indices and fire in Australia over the last 20,000 years, Palaeogeography, Palaeoclimatology, Palaeoecology 432 (2015), 49-57.

235. W. Zhu and Y. Fan, Relabelling algorithms for mixture models with applications for large data sets, Journal of Statistical Computation and Simulation 86 (2015), no. 2, 394413.

226. R. S. Williams, L. K. Heilbronn, D. L. Chen, A. C. Coster, J. R. Greenfield and D. Samocha-Bonet, Dietary acid load, metabolic acidosis and insulin resistance–lessons from crosssectional and overfeeding studies in humans, Clinical Nutrition 35 (2015), no. 5, 1084-1090. 227. A. Williamsona, R. Friswella, J. Olivierb, R. Grzebietaa and R. Zellera, Understanding drivers’ motivation to take a break when tired, Australasian Road Safety Conference, 1st, 2015, Gold Coast, Queensland, Australia, 2015, pp. 228. J. Wood, A. Schaeffer, M. Roughan and P. Tate, Seasonal variability in the continental shelf waters off southeastern Australia: Fact or fiction?, Continental Shelf Research 112 (2015), 92-103. 229. L. G. Wood, M. Lagleva, S. Shah, B. S. Berthon, S. Galbraith, R. Henry, H. Kepreotes and P. G. Gibson, Dietary changes in migrant adolescents with increasing length of stay in Australia and associated risk of wheeze–a retrospective, cross sectional study, BMC pediatrics 15 (2015), no. 1, 102. 230. D. Wu, W. Gao, G. Li, S. Tangaramvong and F. Tin-Loi, Robust assessment of collapse resistance of structures under uncertain loads based on info-gap model, Computer Methods in Applied Mechanics and Engineering 285 (2015), 208-227. 231. T. W. Yee, J. Stoklosa and R. M. Huggins, The VGAM package for capture-recapture data using the conditional likelihood, Journal of Statistical Software 65 (2015), no. 1, 1-33. 232. M. Zhang and L. Chan, Saddlepoint approximations to option price in a regime-switching model, Annals of Finance 12 (2015), no. 1, 55-69. 233. K. Zhao and H. Lian, A note on the efficiency of composite quantile regression, Journal of Statistical Computation and Simulation 86 (2015), no. 7, 1334-1341.

236. M. J. Zuckermann, C. N. Angstmann, R. Schmitt, G. A. Blab, E. H. Bromley, N. R. Forde, H. Linke and P. M. Curmi, Motor properties from persistence: A linear molecular walker lacking spatial and temporal asymmetry, New Journal of Physics 17 (2015), no. 5, 055017.

2016 PUBLICATIONS 1.

A. Aksamit and L. Li, “Projections, pseudo-stopping times and the immersion property,” Séminaire de probabilités xlviii, Springer, 2016, pp. 459-467. E. Alekhno, E. Semenov, F. Sukochev and A. Usachev, On the structure of invariant Banach limits, Comptes Rendus Mathematique 354 (2016), no. 12, 1195-1199.

3.* C. N. Angstmann, I. C. Donnelly, B. I. Henry, B. A. Jacobs, T. A. M. Langlands and J. A. Nichols, From stochastic processes to numerical methods: A new scheme for solving reaction subdiffusion fractional partial differential equations, Journal of Computational Physics 307 (2016), 508-534. 4.* C. N. Angstmann, I. C. Donnelly, B. I. Henry and T. A. M. Langlands, A mathematical model for the proliferation, accumulation and spread of pathogenic proteins along neuronal pathways with locally anomalous trapping, Mathematical Modelling of Natural Phenomena 11 (2016), no. 3, 142-156. 5.* C. N. Angstmann, B. I. Henry and A. V. McGann, A fractional order recovery SIR model from a stochastic process, Bulletin of Mathematical Biology 78 (2016), no. 3, 468-499. 6.* C. N. Angstmann, B. I. Henry and A. V. McGann, A fractional-order infectivity SIR model, Physica A: Statistical Mechanics and its Applications 452 (2016), 86-93.

C. N. Angstmann, B. I. Henry and I. Ortega-Piwonka, Generalized master equations and fractional Fokker– Planck equations from continuous time random walks with arbitrary initial conditions, Computers and Mathematics with Applications 73 (2016), no. 6, 1315-1324.

S. V. Astashkin and F. A. Sukochev, Randomized operators on n x n matrices and applications, Integral Equations and Operator Theory 86 (2016), no. 3, 333-358.

G. Aubrun, F. Sukochev and D. Zanin, Catalysis in the trace class and weak trace class ideals, Proceedings of The American Mathematical Society 144 (2016), no. 6, 2461-2471.

10. P. J. Ayre, M. G. Cowling and F. A. Sukochev, Operator Lipschitz estimates in the unitary setting, Proceedings of The American Mathematical Society 144 (2016), no. 3, 1053-1057. 11. B. Baeumer and P. Straka, Fokker–Planck and Kolmogorov backward equations for continuous time random walk scaling limits, Proceedings of The American Mathematical Society 145 (2016), no. 1, 399-412. 12. R. C. Baker and L. Zhao, Gaps between primes in Beatty sequences, Acta Arithmetica 172 (2016), no. 3, 207-242. 13. R. C. Baker and L. Zhao, Gaps of smallest possible order between primes in an arithmetic progression, International Mathematics Research Notices (2016), no. 23, 7341-7368. 14. W. D. Banks and I. E. Shparlinski, On Gauss sums and the evaluation of Stechkin’s constant, Mathematics of Computation 85 (2016), no. 301, 2569-2581. 15. W. D. Banks and I. E. Shparlinski, Fractional parts of Dedekind sums, International Journal of Number Theory 12 (2016), no. 5, 1137-1147. 16. H. Bannister, B. Goldys, S. Penev and W. Wu, Multiperiod mean-standarddeviation time consistent portfolio selection, Automatica (2016). 17. L. Barreira, D. Dragičević and C. Valls, Strong nonuniform spectrum for arbitrary growth rates, Communications in Contemporary Mathematics 19 (2016), no. 2. 18. L. Barreira, D. Dragičević and C. Valls, Admissibility and nonuniformly hyperbolic sets, Electronic Journal of Qualitative Theory of Differential Equations (2016).

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143

19. L. Barreira, D. Dragičević and C. Valls, Nonuniform hyperbolicity and one-sided admissibility, Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni 27 (2016), no. 2, 235-247. 20. L. Barreira, D. Dragičević and C. Valls, Characterization of nonuniform exponential trichotomies for flows, Journal of Mathematical Analysis and Applications 434 (2016), no. 1, 376-400. 21. L. Barreira, D. Dragičević and C. Valls, Tempered exponential dichotomies: Admissibility and stability under perturbations, Dynamical Systems 31 (2016), no. 4, 525-545. 22. L. Barreira, D. Dragičević and C. Valls, Fredholm operators and nonuniform exponential dichotomies, Chaos, Solitons and Fractals 85 (2016), 120-127. 23. L. Barreira, D. Dragičević and C. Valls, Characterization of nonuniform contractions and expansions with growth rates, Mediterranean Journal of Mathematics 13 (2016), no. 6, 4265-4279. 24. L. Barreira, D. Dragičević and C. Valls, A version of a theorem of Pliss for non-uniform and non-invertible dichotomies, Proceedings of the Royal Society of Edinburgh Section A: Mathematics 147 (2016), no. 2, 225-243. 25. L. Barreira, D. Dragičević and C. Valls, Nonuniform spectrum on the half line and perturbations, Results in Mathematics 72 (2016), no. 1-2, 125143. 26. B. Beranger, S. A. Padoan and S. A. Sisson, Models for extremal dependence derived from skewsymmetric families, Scandinavian Journal of Statistics 44 (2016), no. 1, 21-45. 27. R. V. Blakey, B. S. Law, R. T. Kingsford, J. Stoklosa, P. Tap and K. Williamson, Bat communities respond positively to large-scale thinning of forest regrowth, Journal of Applied Ecology 53 (2016), no. 6, 1694-1703. 28. S. Blefari and N. J. Wildberger, Quadrangle centroids in universal hyperbolic geometry, KoG 20 (2016), 41-60. 29. V. Blinovsky and C. Greenhill, Asymptotic enumeration of sparse uniform hypergraphs with given degrees, European Journal of Combinatorics 51 (2016), 287-296.

144

30. V. Blinovsky and C. Greenhill, Asymptotic enumeration of sparse uniform linear hypergraphs with given degrees, Electron. J. Comb. 23 (2016), no. 3. 31. W. R. Bloom and N. J. Wildberger, Positive definiteness on spheres and hyperbolic spaces, Communications on Stochastic Analysis 10 (2016), no. 4, 541-559. 32. G. Blower, C. Brett and I. Doust, Hill’s spectral curves and the invariant measure of the periodic KdV equation, Bulletin des Sciences Mathematiques 140 (2016), no. 7, 864-899. 33. A. I. Bobenko and W. K. Schief, Circle complexes and the discrete CKP equation, International Mathematics Research Notices (2016), no. 5, 1504-1561. 34. N. Boland, I. Dumitrescu, G. Froyland and T. Kalinowski, Minimum cardinality nonanticipativity constraint sets for multistage stochastic programming, Mathematical Programming 157 (2016), no. 1, 69-93.

41. J. S. Brauchart, A. B. Reznikov, E. B. Saff, I. H. Sloan, Y. G. Wang and R. S. Womersley, Random point sets on the sphere—hole radii, covering, and separation, Experimental Mathematics (2016), 1-20. 42. P. D. Brewer, E. N. Habtemichael, I. Romenskaia, A. C. F. Coster and C. C. Mastick, Rab14 limits the sorting of Glut4 from endosomes into insulin-sensitive regulated secretory compartments in adipocytes, Biochemical Journal 473 (2016), no. 10, 1315-1327. 43. T. Britz and K. Shiromoto, On the covering dimension of a linear code, IEEE Transactions on Information Theory 62 (2016), no. 5, 2694-2701. 44. O. M. Camburu, E. A. Ciolan, F. Luca, P. Moree and I. E. Shparlinski, Cyclotomic coefficients: Gaps and jumps, Journal of Number Theory 163 (2016), 211-237. 45. F. Cao, D. Wang, H. Zhu and Y. Wang, An iterative learning algorithm for feedforward neural networks with random weights, Information Sciences 328 (2016), 546-557.

35. M. Boon, B. Henry, B. Chu, N. Basahi, C. Suttle, C. Luu, H. Leung and S. Hing, Fractal dimension analysis of transient visual evoked potentials: Optimisation and applications, PLoS ONE 11 (2016), no. 9.

46. H. Cao, S. V. Pereverzyev, I. H. Sloan and P. Tkachenko, Two-parameter regularization of ill-posed spherical pseudo-differential equations in the space of continuous functions, Applied Mathematics and Computation 273 (2016), 993-1005.

36. Z. Botev, The normal law under linear restrictions: Simulation and estimation via minimax tilting, Journal of the Royal Statistical Society: Series B (Statistical Methodology) (2016).

47. A. Carey, F. Gesztesy, G. Levitina, R. Nichols, D. Potapov and F. Sukochev, Double operator integral methods applied to continuity of spectral shift functions, Journal of Spectral Theory 6 (2016), no. 4, 747-779.

37. Z. Botev and P. L’Ecuyer, Efficient probability estimation and simulation of the truncated multivariate student-t distribution, Winter Simulation Conference, IEEE, 2016, pp. 380-391.

48. A. Carey, F. Gesztesy, G. Levitina and F. Sukochev, The spectral shift function and the Witten index, 2016, pp. 71-105.

38. Z. Botev and A. Ridder, An M-estimator for rare-event probability estimation, 2016 Winter Simulation Conference, IEEE Press Piscataway, NJ, USA. 2016, pp. 359-369. 39. Z. Botev, A. Ridder and L. RojasNandayapa, Semiparametric cross entropy for rare-event simulation, Journal of Applied Probability 53 (2016), no. 3. 40. Z. I. Botev, P. L’Ecuyer, R. Simard and B. Tuffin, Static network reliability estimation under the MarshallOlkin copula, ACM Transactions on Modeling and Computer Simulation 26 (2016), no. 2.

49. A. Carey, F. Gesztesy, G. Levitina and F. Sukochev, On the index of a nonFredholm model operator, Operators and Matrices 10 (2016), no. 4, 881914. 50. A. L. Carey, A. Rennie, F. Sukochev and D. Zanin, Universal measurability and the Hochschild class of the Chern character, Journal of Spectral Theory 6 (2016), no. 1, 1-41. 51. D. Chan and A. Nyman, Species and non-commutative P1’s over nonalgebraic bimodules, Journal of Algebra 460 (2016), 143-180. 52. L. L. Chan and E. Platen, Pricing of long dated equity-linked life insurance contracts, Stochastic Analysis and Applications (2016).

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— APPENDIX

53. M. C. Chang and I. E. Shparlinski, On the density of integer points on generalised Markoff–Hurwitz and Dwork hypersurfaces, Mathematische Zeitschrift 282 (2016), no. 3-4, 935-954. 54. F. Chen and P. Hall, Nonparametric estimation for self-exciting point processes—a parsimonious approach, Journal of Computational and Graphical Statistics 25 (2016), no. 1, 209-224. 55. H. Chen, G. Li and L. Qi, SOS tensor decomposition: Theory and applications, Communications in Mathematical Sciences 14 (2016), no. 8, 2073-2100. 56. H. Chen, G. Li and L. Qi, Further results on Cauchy tensors and Hankel tensors, Applied Mathematics and Computation 275 (2016), 50-62. 57. A. Chernih and Q. T. Le Gia, Multiscale methods with compactly supported radial basis functions for the Stokes problem on bounded domains, Advances in Computational Mathematics 42 (2016), no. 5, 11871208. 58. T. D. Chuong, Nondifferentiable fractional semi-infinite multiobjective optimization problems, Operations Research Letters 44 (2016), no. 2, 260-266.

64. C. Coine, C. Le Merdy, D. Potapov, F. Sukochev and A. Tomskova, Resolution of Peller’s problem concerning Koplienko-Neidhardt trace formulae, Proceedings of the London Mathematical Society 113 (2016), no. 2, 113-139. 65. C. Coine, C. Le Merdy, D. Potapov, F. Sukochev and A. Tomskova, Peller’s problem concerning Koplienko– Neidhardt trace formulae: The unitary case, Journal of Functional Analysis 271 (2016), no. 7, 17471763. 66. R. Cools, F. Y. Kuo, D. Nuyens and G. Suryanarayana, Tent-transformed lattice rules for integration and approximation of multivariate non-periodic functions, Journal of Complexity 36 (2016), 166-181. 67. H. Cooray, H. E. Huppert and J. A. Neufeld, Maximal liquid bridges between horizontal cylinders, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 472 (2016), no. 2192. 68. P. Del Moral, R. Kohn and F. Patras, On particle Gibbs samplers, Annales de l’institut Henri Poincare (B) Probability and Statistics 52 (2016), no. 4, 1687-1733.

74. H. Dinh Nguyen Duy, T. Nguyen Huy, L. Le Dinh and G. Quoc Thong Le, Inverse problem for nonlinear backward space-fractional diffusion equation, Journal of Inverse and Illposed Problems 25 (2016), no. 4. 75. G. S. Dissanayake, “Rapid optimal lag order detection and parameter estimation of standard long memory time series,” Studies in computational intelligence, Springer, 2016, pp. 17-28. 76. P. G. Dodds, B. De Pagter and F. Sukochev, Sets of uniformly absolutely continuous norm in symmetric spaces of measurable operators, Transactions of the American Mathematical Society 368 (2016), no. 6, 4315-4355. 77. D. Dragičević, A version of a theorem of R. Datko for stability in average, Systems and Control Letters 96 (2016), 1-6. 78. D. Dragičević, A note on the theorem of Johnson, Palmer and Sell, Periodica Mathematica Hungarica 75 (2016), no. 2, 167-171. 79. D. Dragičević and G. Froyland, Hölder continuity of Oseledets splittings for semi-invertible operator cocycles, Ergodic Theory and Dynamical Systems 38 (2016), no. 3, 961-981.

59. T. D. Chuong, Optimality and duality for robust multiobjective optimization problems, Nonlinear Analysis, Theory, Methods and Applications 134 (2016), 127-143.

69. P. Del Moral, A. Kurtzmann and J. Tugaut, On the stability and the uniform propagation of chaos of a class of extended ensemble Kalman-Bucy filters, SIAM Journal on Control and Optimization 55 (2016), no. 1, 119-155.

60. T. D. Chuong and V. Jeyakumar, Characterizing robust local error bounds for linear inequality systems under data uncertainty, Linear Algebra and Its Applications 489 (2016), 199-216.

70. D. Dentcheva, S. Penev and A. Ruszczyński, Statistical estimation of composite risk functionals and risk optimization problems, Annals of the Institute of Statistical Mathematics (2016).

81. D. Drusvyatskiy, G. Li and H. Wolkowicz, A note on alternating projections for ill-posed semidefinite feasibility problems, Mathematical Programming 162 (2016), no. 1-2, 537-548.

61. T. D. Chuong and V. Jeyakumar, Robust global error bounds for uncertain linear inequality systems with applications, Linear Algebra and Its Applications 493 (2016), 183-205.

71. W. Dewar, J. Schoonover, T. McDougall and R. Klein, Semicompressible ocean thermodynamics and Boussinesq energy conservation, Fluids 1 (2016), no. 2, 9-9.

82. P. Duchesne, P. Lafaye De Micheaux and J. Tagne Tatsinkou, Estimating the mean and its effects on Neyman smooth tests of normality for ARMA models, Canadian Journal of Statistics 44 (2016), no. 3, 241-270.

72. J. Dick, F. Y. Kuo, Q. T. Le Gia and C. Schwab, Multilevel higher order QMC Petrov-Galerkin discretization for affine parametric operator equations, SIAM Journal on Numerical Analysis 54 (2016), no. 4, 2541-2568.

83. W. Dunsmuir and J. He, Marginal estimation of parameter driven binomial time series models, Journal of Time Series Analysis 38 (2016), no. 1, 120-144.

62. J. Cilleruelo and A. Zumalacárregui, Saving the logarithmic factor in the error term estimates of some congruence problems, Mathematische Zeitschrift 286 (2016), no. 1-2, 545-558. 63. S. Clark, S. A. Sisson and A. Sharma, A dimension range representation (DRR) measure for self-organizing maps, Pattern Recognition 53 (2016), 276-286.

73. J. Dick, D. Rudolf and H. Zhu, Discrepancy bounds for uniformly ergodic Markov chain quasi-Monte Carlo, Annals of Applied Probability 26 (2016), no. 5, 3178-3205.

80. D. Dragičević and C. Preda, Lyapunov theorems for exponential dichotomies in Hilbert spaces, International Journal of Mathematics 27 (2016), no. 4.

84. K. Dykema, J. Noles, F. Sukochev and D. Zanin, On reduction theory and Brown measure for closed unbounded operators, Journal of Functional Analysis 271 (2016), no. 12, 3403-3422.

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85. K. Dykema, F. Sukochev and D. Zanin, Algebras of log-integrable functions and operators, Complex Analysis and Operator Theory 10 (2016), no. 8, 1775-1787. 86. R. J. Elliott, L. Chan and T. K. Siu, Pricing options in a Markov regime switching model with a random acceleration for the volatility, IMA Journal of Applied Mathematics (2016). 87. R. Erhardt and S. A. sisson, “Modelling extremes using approximate Bayesian computation,” Extreme value modeling and risk analysis methods and applications, D. Dey and J. Yan (Editors), CRC Press, 2016, pp. 281-306. 88. M. Faierman, Elliptic problems for a Douglis–Nirenberg system over ℝn and over an exterior subregion, Proceedings of the Royal Society of Edinburgh: Section A Mathematics 146 (2016), no. 03, 579-594. 89. M. Faierman, Fredholm theory connected with a Douglis-Nirenberg system of differential equations over an exterior region in ℝn, Mathematische Nachrichten 290 (2016), no. 2-3, 262-283. 90. M. Faierman, Fredholm theory connected with a Douglis-Nirenberg system of differential equations over ℝn, Methods of Functional Analysis and Topology 22 (2016), no. 4, 330345. 91. M. Feischl, F. Fuehrer, D. Praetorius and E. P. Stephan, Optimal additive Schwarz preconditioning for hypersingular integral equations on locally refined triangulations, Calcolo (2016). 92. M. Feischl, G. Gantner, A. Haberl and D. Praetorius, Adaptive 2D IGA boundary element methods, Engineering Analysis with Boundary Elements 62 (2016), 141-153. 93. M. Feischl, G. Gantner, A. Haberl and D. Praetorius, Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations, Numerische Mathematik 136 (2016), no. 1, 147-182. 94. M. Feischl, D. Praetorius and K. Van der Zee, An abstract analysis of optimal goal-oriented adaptivity, SIAM Journal on Numerical Analysis (2016). 95. R. Ferrari, A. Mashayek, T. J. McDougall, M. Nikurashin and J. M. Campin, Turning ocean mixing upside down, Journal Of Physical Oceanography 46 (2016), no. 7, 2239-2261.

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96. J. H. Field, L. Kealhofer, R. Cosgrove and A. C. F. Coster, Humanenvironment dynamics during the Holocene in the Australian Wet Tropics of NE Queensland: A starch and phytolith study, Journal of Anthropological Archaeology 44 (2016), 216-234. 97. F. Fité and I. E. Shparlinski, On the singularity of the Demjanenko matrix of quotients of fermat curves, Proceedings of The American Mathematical Society 144 (2016), no. 1, 55-63. 98. B. Franke, K. J. E. van Hulzen, A. Arias-Vasquez, J. Bralten, M. Hoogman, M. Klein, M. M. J. van Donkelaar, M. M. H. Hakobjan, A. J. G. A. M. Heister, R. R. R. Makkinje, M. A. M. Naber, S. S. L. van der Marel, J. C. Mostert, H. G. Brunner, H. van Bokhoven, M. P. Zwiers, J. K. Buitelaar, G. Fernández, S. E. Fisher, C. Francks, J. L. Stein, D. P. Hibar, P. M. Thompson, S. Ripke, V. Anttila, B. M. Neale, K. H. Farh, B. Bulik-Sullivan, H. Huang, M. Fromer, J. I. Goldstein, M. J. Daly and R. K. Walters, Genetic influences on schizophrenia and subcortical brain volumes: Large-scale proof of concept, Nature Neuroscience 19 (2016), no. 3, 420-431. 99. J. Franklin, Elliptical orbits and the Aristotelian Scientific Revolution: Comment on Groarke, Studia Neoaristotelica 13 (2016), no. 2, 169179. 100. J. Franklin, Logical probability and the strength of mathematical conjectures, Mathematical Intelligencer 38 (2016), no. 3, 14-19. 101. J. W. Franklin, “Pre-history of probability,” Oxford handbook of probability and philosophy, A. Hayek and C. Hitchcock (Editors), Oxford University Press, Oxford, 2016, pp. 33-49. 102. M. Frants, M. Holzer, T. DeVries and R. Matear, Constraints on the global marine iron cycle from a simple inverse model, Journal of Geophysical Research: Biogeosciences 121 (2016), no. 1, 28-51. 103. G. Froyland and C. GonzálezTokman, Stability and approximation of invariant measures of Markov chains in random environments, Stochastics and Dynamics 16 (2016), no. 1. 104. G. Froyland, C. Gonzï lez-Tokman and T. M. Watson, Optimal mixing enhancement by local perturbation, SIAM Review 58 (2016), no. 3, 494513.

105. G. Froyland, G. A. Gottwald and A. Hammerlindl, A trajectory-free framework for analysing multiscale systems, Physica D: Nonlinear Phenomena 328-329 (2016), 34-43. 106. G. Froyland and R. M. Stuart, Cheeger inequalities for absorbing Markov chains, Advances in Applied Probability 48 (2016), no. 3, 631-647. 107. W. Gao, J. Feng, D. Wu and G. Li, Unified stochastic and nonstochastic free vibration analysis of structure, The 24th Australasian Conference on the Mechanics of Structures and Materials, CRC PRESS / Balkema, 2016, pp. 18091814. 108. P. H. Garthwaite, Y. Fan and S. A. Sisson, Adaptive optimal scaling of Metropolis–Hastings algorithms using the Robbins–Monro process, Communications in Statistics Theory and Methods 45 (2016), no. 17, 5098-5111. 109. A. D. Gilbert, F. Y. Kuo and I. H. Sloan, Hiding the weights— CBC black box algorithms with a guaranteed error bound, Mathematics and Computers in Simulation 143 (2016), 202-214. 110.*G. Gill and P. Straka, A semi-Markov algorithm for continuous time random walk limit distributions, Mathematical Modelling of Natural Phenomena 11 (2016), no. 3, 34-50. 111. D. S. Gireesh, M. D. Hirschhorn and M. S. M. Naika, On 3-regular partitions with odd parts distinct, Ramanujan Journal 44 (2016), no. 1, 227-236. 112. M. A. Goberna, V. Jeyakumar, G. Li and N. Linh, Radius of robust feasibility formulas for classes of convex programs with uncertain polynomial constraints, Operations Research Letters 44 (2016), no. 1, 67-73. 113. T. Goda, R. Ohori, K. Suzuki and T. Yoshiki, The mean square quasiMonte Carlo error for digitally shifted digital nets, 2016, pp. 331-350. 114. T. Goda, K. Suzuki and T. Yoshiki, An explicit construction of optimal order quasi-Monte Carlo rules for smooth integrands, SIAM Journal on Numerical Analysis 54 (2016), no. 4, 2664-2683. 115. B. Goldys, K. N. Le and T. Tran, A finite element approximation for the stochastic Landau-Lifshitz-Gilbert equation, Journal of Differential Equations 260 (2016), no. 2, 937970.

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116. B. Goldys and W. Wu, Dynamic programming principle for stochastic control problems driven by general Lévy noise, Stochastic Analysis and Applications (2016).

126. P. Grossman, M. Izumi and N. Snyder, The Asaeda–Haagerup fusion categories, Journal für die reine und angewandte Mathematik (Crelles Journal) 0 (2016), no. 0.

117. D. Gómez-Pérez and I. E. Shparlinski, Arithmetic properties of integers in chains and reflections of g-ARY expansions, Experimental Mathematics 27 (2016), no. 2, 184192.

127. P. Grossman and N. Snyder, The Brauer-Picard group of the AsaedaHaagerup fusion categories, Transactions of the American Mathematical Society 368 (2016), no. 4, 2289-2331.

137. Y. Huang, J. A. I. Thoms, M. L. Tursky, K. Knezevic, D. Beck, V. Chandrakanthan, S. Suryani, J. Olivier, A. Boulton, E. N. Glaros, S. R. Thomas, R. B. Lock, K. L. MacKenzie, J. H. Bushweller, J. W. H. Wong and J. E. Pimanda, MAPK/ ERK2 phosphorylates ERG at serine 283 in leukemic cells and promotes stem cell signatures and cell proliferation, Leukemia 30 (2016), no. 7, 1552-1561.

118. E. Gorla and M. Massierer, An optimal representation for the trace zero subgroup, Designs, Codes, and Cryptography 83 (2016), no. 3, 519548.

128. G. Harman and I. E. Shparlinski, Products of small integers in residue classes and additive properties of Fermat quotients, International Mathematics Research Notices 2016 (2016), no. 5, 1424-1446.

138. R. M. Huggins, P. S. F. Yip and J. Stoklosa, Nonparametric estimation of the number of drug users in Hong Kong using repeated multiple lists, Australian and New Zealand Journal of Statistics 58 (2016), no. 1, 1-13.

129. D. Harvey, M. Massierer and A. V. Sutherland, Computing L-series of geometrically hyperelliptic curves of genus three, Algorithmic Number Theory Symposium XII, 2016, pp. 220-234.

139. H. E. Huppert and R. S. Sparks, Compressible vapour flow in conduits and fractures, Journal of Fluid Mechanics 802 (2016), 750759.

119. A. Goyal and J. M. Murray, Dynamics of in vivo hepatitis D virus infection, Journal of Theoretical Biology 398 (2016), 9-19. 120. A. Goyal and J. M. Murray, Costeffectiveness of peg-interferon, interferon and oral nucleoside analogues in the treatment of chronic hepatitis B and D infections in China, Clinical Drug Investigation 36 (2016), no. 8, 637-648. 121. A. Goyal and J. M. Murray, Modelling the impact of cell-to-cell transmission in hepatitis B virus, PLoS ONE 11 (2016), no. 8. 122. A. Goyal and J. M. Murray, Recognizing the impact of endemic hepatitis D virus on hepatitis B virus eradication, Theoretical Population Biology 112 (2016), 60-69. 123. A. Goyal and P. Sharma, A model on the biological treatment of saline wastewater, International Journal of Biomathematics 10 (2016), no. 2. 124.*C. W. Gray and A. C. F. Coster, The akt switch model: Is location sufficient?, Journal of Theoretical Biology 398 (2016), 103-111. 125. S. M. Griffies, G. Danabasoglu, P. J. Durack, A. J. Adcroft, V. Balaji, C. W. Böning, E. P. Chassignet, E. Curchitser, J. Deshayes, H. Drange, B. Fox-Kemper, P. J. Gleckler, J. M. Gregory, H. Haak, R. W. Hallberg, P. Heimbach, H. T. Hewitt, D. M. Holland, T. Ilyina, J. H. Jungclaus, Y. Komuro, J. P. Krasting, W. G. Large, S. J. Marsland, S. Masina, T. J. McDougall, A. J. George Nurser, J. C. Orr, A. Pirani, F. Qiao, R. J. Stouffer, K. E. Taylor, A. M. Treguier, H. Tsujino, P. Uotila, M. Valdivieso, Q. Wang, M. Winton and S. G. Yeager, Omip contribution to cmip6: Experimental and diagnostic protocol for the physical component of the ocean model intercomparison project, Geoscientific Model Development 9 (2016), no. 9, 3231-3296.

130. D. Harvey and A. V. Sutherland, Computing Hasse-Witt matrices of hyperelliptic curves in average polynomial time, II, Winter School and Workshop on Frobenius Distributions on Curves, American Mathematical Society, 2016, pp. 127147. 131. D. Harvey, J. van der Hoeven and G. Lecerf, Even faster integer multiplication, Journal of Complexity 36 (2016), 1-30. 132. D. Harvey, J. Van Der Hoeven and G. Lecerf, Fast polynomial multiplication over over IF2 60, Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation, ACM, 2016, pp. 255262. 133. R. Heyman and I. E. Shparlinski, Counting irreducible binomials over finite fields, Finite Fields and their Applications 38 (2016), 1-12. 134. M. D. Hirschhorn, Partitions in 3 colours, Ramanujan Journal 45 (2016), no. 2, 399-411. 135. M. D. Hirschhorn and J. A. Sellers, Infinitely many congruences modulo 5 for 4-colored Frobenius partitions, Ramanujan Journal 40 (2016), no. 1, 193-200. 136. M. Holzer, M. Frants and B. Pasquier, The age of iron and iron source attribution in the ocean, Global Biogeochemical Cycles 30 (2016), no. 10, 1454-1474.

140. W. H. Hwang, R. Huggins and J. Stoklosa, Estimating negative binomial parameters from occurrence data with detection times, Biometrical Journal 58 (2016), no. 6, 1409-1427. 141. M. Janco, T. T. Bonello, A. Byun, A. C. F. Coster, H. Lebhar, I. Dedova, P. W. Gunning and T. Böcking, The impact of tropomyosins on actin filament assembly is isoform specific, BioArchitecture 6 (2016), no. 4, 6175. 142. V. Jeyakumar and G. Li, Exact conic programming relaxations for a class of convex polynomial cone programs, Journal of Optimization Theory and Applications 172 (2016), no. 1, 156-178. 143. V. Jeyakumary, J. B. Lasserre, G. Li and T. S. Pham, Convergent semidefinite programming relaxations for global bilevel polynomial optimization problems, SIAM Journal on Optimization 26 (2016), no. 1, 753-780. 144. Y. Jiao, F. Sukochev, G. Xie and D. Zanin, Φ-moment inequalities for independent and freely independent random variables, Journal of Functional Analysis (2016). 145. Y. Jiao, F. Sukochev and D. Zanin, Johnson–Schechtman and Khintchine inequalities in noncommutative probability theory, Journal of the London Mathematical Society 94 (2016), no. 1, 113-140. 146.*Y. Kazashi, A fully discretised polynomial approximation on spherical shells, GEM-International Journal on Geomathematics 7 (2016), no. 2, 299-323.

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147. C. Kerry, B. Powell, M. Roughan and P. Oke, Development and evaluation of a high-resolution reanalysis of the east Australian current region using the regional ocean modelling system (ROMS 3.4) and incremental strongconstraint 4-dimensional variational (IS4D-Var) data assimilation, Geoscientific Model Development 9 (2016), no. 10, 3779-3801. 148. A. Klocker, D. P. Marshall, S. Keating and P. L. Read, A regime diagram for ocean geostrophic turbulence, Quarterly Journal of the Royal Meteorological Society 142 (2016), no. 699, 2411-2417. 149. D. Koh, C. Y. Shen and I. Shparlinski, Averaging operators over homogeneous varieties over finite fields, Journal of Geometric Analysis 26 (2016), no. 2, 1415-1441. 150. A. Kohatsu-Higa and L. Li, Regularity of the density of a stable-like driven SDE with Hölder continuous coefficients, Stochastic Analysis and Applications 34 (2016), no. 6, 9791024. 151. S. V. Konyagin, F. Luca, B. Mans, L. Mathieson, M. Sha and I. E. Shparlinski, Functional graphs of polynomials over finite fields, Journal of Combinatorial Theory. Series B 116 (2016), 87-122. 152. F. Y. Kuo and D. Nuyens, Application of quasi-Monte Carlo methods to elliptic PDEs with random diffusion coefficients: A survey of analysis and implementation, Foundations of Computational Mathematics 16 (2016), no. 6, 1631-1696. 153. F. Y. Kuo, L. Plaskota and G. W. Wasilkowski, Optimal algorithms for doubly weighted approximation of univariate functions, Journal of Approximation Theory 201 (2016), 30-47. 154. J. Kuroiwa-Trzmielina, F. Wang, R. W. Rapkins, R. L. Ward, D. D. Buchanan, A. K. Win, M. Clendenning, C. Rosty, M. C. Southey and I. Winship, SNP rs16906252c> T is an expression and methylation quantitative trait locus associated with an increased risk of developing MGMT-methylated colorectal cancer, Clinical Cancer Research (2016), 2765.2015. 155. C. Y. Lai, Z. Zheng, E. Dressaire, G. Z. Ramon, H. E. Huppert and H. A. Stone, Elastic relaxation of fluid-driven cracks and the resulting backflow, Physical Review Letters 117 (2016), no. 26.

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156. E. Le Donne and A. Ottazzi, Isometries of Carnot groups and sub-Finsler homogeneous manifolds, Journal of Geometric Analysis 26 (2016), no. 1, 330-345. 157. Q. T. Le Gia, I. H. Sloan and H. Wendland, Zooming from global to local: A multiscale RBF approach, Advances in Computational Mathematics 43 (2016), no. 3, 581606. 158. Q. T. Le Gia, T. Tran and H. T. Nguyen, Solving the backward heat equation on the unit sphere, Computational Techniques and Applications Conference, Australian Mathematical Society, 2016, pp. C262-C278. 159. K. N. Le, Weak solutions of the Landau–Lifshitz–Bloch equation, Journal of Differential Equations 261 (2016), no. 12, 6699-6717. 160. K. N. Le, W. McLean and K. Mustapha, Numerical solution of the time-fractional Fokker-Planck equation with general forcing, SIAM Journal on Numerical Analysis 54 (2016), no. 3, 1763-1784. 161. N. Le and N. J. Wildberger, Incenter symmetry, Euler lines, and Schiffler points, KoG 20 (2016), 22-30. 162. G. Li, B. S. Mordukhovich, T. T. A. Nghia and T. S. Phạm, Error bounds for parametric polynomial systems with applications to higher-order stability analysis and convergence rates, Mathematical Programming 168 (2016), no. 1-2, 313-346. 163. G. Li, L. Qi and Q. Wang, Positive semi-definiteness of generalized anti-circulant tensors, Communications in Mathematical Sciences 14 (2016), no. 4, 941-952. 164. R. Lorenz, A. J. Pitman and S. A. Sisson, Does Amazonian deforestation cause global effects; can we be sure?, Journal of Geophysical Research 121 (2016), no. 10, 5567-5584. 165. M. B. Lyons, D. A. Keith, D. I. Warton, M. Somerville and R. T. Kingsford, Model-based assessment of ecological community classifications, Journal of Vegetation Science 27 (2016), no. 4, 704-715. 166. H. S. Macdonald, M. Roughan, M. E. Baird and J. Wilkin, The formation of a cold-core eddy in the East Australian current, Continental Shelf Research 114 (2016), 72-84.

167. S. J. Maher and J. M. Murray, The unrooted set covering connected subgraph problem differentiating between HIV envelope sequences, European Journal of Operational Research 248 (2016), no. 2, 668-680. 168. G. A. Mattos, R. Grzebieta, A. Williamson, J. Olivier, J. Eusebio, W. Y. Zheng, J. Wall, J. Charlton, M. Lenne, J. Haley, B. Barnes, A. Rakotonirainy, J. Woolley, T. Senserrick, K. Young, N. Haworth, M. Regan, S. Cockfield, D. Healy, A. Cavallo, M. Di Stefano, H. L. Wong, I. Cameron, M. Cornish and C. Baird, “Pedestrian-vehicle interactions: Early results from the Australian naturalistic driving study (ands),” 12th World Conference on Injury Prevention and Safety Promotion (SAFETY 2016), Tampere, Finland, 2016. 169. B. I. McNeil and T. P. Sasse, Future ocean hypercapnia driven by anthropogenic amplification of the natural CO2 cycle, Nature 529 (2016), no. 7586, 383-+. 170. A. Y. Minard, M. K. L. Wong, R. Chaudhuri, S. X. Tan, S. J. Humphrey, B. L. Parker, J. Y. Yang, D. R. Laybutt, G. J. Cooney, A. C. F. Coster, J. Stöckli and D. E. James, Hyperactivation of the insulin signaling pathway improves intracellular proteostasis by coordinately up-regulating the proteostatic machinery in adipocytes, Journal of Biological Chemistry 291 (2016), no. 49, 25629-25640. 171. M. K. Montgomery, S. H. J. Brown, X. Y. Lim, C. E. Fiveash, B. Osborne, N. L. Bentley, J. P. Braude, T. W. Mitchell, A. C. F. Coster, A. S. Don, G. J. Cooney, C. Schmitz-Peiffer and N. Turner, Regulation of glucose homeostasis and insulin action by ceramide acyl-chain length: A beneficial role for very long-chain sphingolipid species, Biochimica et Biophysica Acta - Molecular and Cell Biology of Lipids 1861 (2016), no. 11, 1828-1839. 173. P. D. Moral, E. Moulines, J. Olsson and C. Vergé, Convergence properties of weighted particle islands with application to the double bootstrap algorithm, Stochastic Systems (2016). 174. P. Moree and A. Zumalacárregui, Salajan’s conjecture on discriminating terms in an exponential sequence, Journal of Number Theory 160 (2016), 646-665. 175. M. Munsch and I. E. Shparlinski, Upper and lower bounds for higher moments of theta functions, Quarterly Journal of Mathematics 67 (2016), no. 1, 53-73.

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176. P. Q. Nguyen and I. E. Shparlinski, Counting co-cyclic lattices, SIAM Journal on Discrete Mathematics 30 (2016), no. 3, 1358-1370.

186. A. Ostafe, On roots of unity in orbits of rational functions, Proceedings of The American Mathematical Society (2016).

197. C. Rogers and W. K. Schief, On Ermakov–Painlevé II systems. Integrable reduction, Meccanica 51 (2016), no. 12, 2967-2974.

177. P. R. Nicovich, M. Janco, T. Sobey, M. Gajwani, P. Obeidy, R. Whan, K. Gaus, P. W. Gunning, A. C. F. Coster and T. Böcking, Effect of surface chemistry on tropomyosin binding to actin filaments on surfaces, Cytoskeleton 73 (2016), no. 12, 729-738.

187. B. Pasquier and M. Holzer, The plumbing of the global biological pump: Efficiency control through leaks, pathways, and time scales, Journal of Geophysical Research: Oceans 121 (2016), no. 8, 63676388.

198. J. Rozendaal, F. Sukochev and A. Tomskova, Operator Lipschitz functions on Banach spaces, Studia Mathematica 232 (2016), no. 1, 5792.

178. M. M. Norberg, L. S. Ham, J. Olivier, B. L. Zamboanga, A. Melkonian and J. L. Fugitt, Pregaming and emotion regulation’s relationship to alcohol problems in college students: A cross-sectional study, Substance Use and Misuse 51 (2016), no. 8, 1024-1033.

188. S. S. Pegler, H. E. Huppert and J. A. Neufeld, Stratified gravity currents in porous media, Journal of Fluid Mechanics 791 (2016), 329-357.

179. M. M. Norberg, D. J. Kavanagh, J. Olivier and S. Lyras, Craving cannabis: A meta-analysis of selfreport and psychophysiological cue-reactivity studies, Addiction (Abingdon, England) 111 (2016), no. 11, 1923-1934. 180. P. R. Oke, R. Proctor, U. Rosebrock, R. Brinkman, M. L. Cahill, I. Coghlan, P. Divakaran, J. Freeman, C. Pattiaratchi, M. Roughan, P. A. Sandery, A. Schaeffer and S. Wijeratne, The marine virtual laboratory (version 2.1): Enabling efficient ocean model configuration, Geoscientific Model Development 9 (2016), no. 9, 3297-3307. 181. J. Olivier, S. Boufous and R. Grzebieta, No strong evidence bicycle helmet legislation deters cycling, Medical Journal of Australia (2016). 182. J. Olivier, P. Creighton and C. T. Mason, Evidence bicycle helmets mitigate intra-cranial injury is not controversial, European Journal of Trauma and Emergency Surgery 42 (2016), no. 3, 333-336. 183. J. Olivier, W. L. May and M. L. Bell, Relative effect sizes for measures of risk, Communications in StatisticsTheory and Methods 46 (2016), no. 14, 6774-6781. 184. J. Olivier and F. Terlich, The use of propensity score stratification and synthetic data to address allocation bias when assessing bicycle helmet effectiveness, International Research Council on the Biomechanics of Injury, 2016, pp. 185-193. 185. R. Olson, Y. Fan and J. P. Evans, A simple method for Bayesian model averaging of regional climate model projections: Application to southeast Australian temperatures, Geophysical Research Letters 43 (2016), no. 14, 7661-7669.

189. S. Penev and T. Prvan, Robust estimation in structural equation models using Bregman and other divergences with t-centre approach to estimate the covariance matrix, 2016, pp. C339-C354. 190. J. W. Perram, A new derivation of the Hodgkin-Huxley equation for the propagating action potential, Molecular Simulation 42 (2016), no. 6-7, 596-603. 191. G. W. Peters, A. Chapelle and E. Panayi, Opening discussion on banking sector risk exposures and vulnerabilities from virtual currencies: An operational risk perspective, Journal of Banking Regulation 17 (2016), no. 4, 239-272. 192. G. W. Peters, P. V. Shevchenko, B. Hassani and A. Chapelle, Should the advanced measurement approach be replaced with the standardized measurement approach for operational risk?, Journal of Operational Risk 11 (2016), no. 3, 1-49. 193. D. Potapov, A. Skripka and F. Sukochev, Functions of unitary operators: Derivatives and trace formulas, Journal of Functional Analysis 270 (2016), no. 6, 20482072. 194. J. Rivat and I. E. Shparlinski, Multiples of squares in short intervals, Functiones et Approximatio, Commentarii Mathematici 54 (2016), no. 1, 57-63. 195. G. S. Rodrigues, D. J. Nott and S. A. Sisson, Functional regression approximate Bayesian computation for Gaussian process density estimation, Computational Statistics and Data Analysis 103 (2016), 229241. 196. T. Rodrigues and Y. Fan, Regression adjustment for noncrossing Bayesian quantile regression, Journal of Computational and Graphical Statistics (2016).

199. A. Saket, W. L. Peirson, M. L. Banner and X. Barthelemy, Development of thermal image velocimetry techniques to measure the water surface velocity, IOP Conference Series: Earth and Environmental Science 35 (2016), no. 1. 200. A. Schaeffer, M. Roughan, T. Austin, J. D. Everett, D. Griffin, B. Hollings, E. King, A. Mantovanelli, S. Milburn, B. Pasquer, C. Pattiaratchi, R. Robertson, D. Stanley, I. Suthers and D. White, Mean hydrography on the continental shelf from 26 repeat glider deployments along Southeastern Australia, Scientific Data 3 (2016). 201. A. Schaeffer, M. Roughan, E. M Jones and D. White, Physical and biogeochemical spatial scales of variability in the East Australian Current separation from shelf glider measurements, Biogeosciences 13 (2016), no. 6, 1967-1975. 202. P. Schepers, H. Stipdonk, R. Methorst and J. Olivier, Bicycle fatalities: Trends in crashes with and without motor vehicles in the Netherlands, Transportation Research Part F: Traffic Psychology and Behaviour 46 (2016), 491-499. 203. I. Shparlinski, A. M. Childs and W. van Dam, Optimal quantum algorithm for polynomial interpolation, 43rd International Colloquium on Automata, Languages, and Programming, DROPS, 2016, pp. 16:11-16:13. 204. I. E. Shparlinski, Dynamical systems of non-algebraic origin: Fixed points and orbit lengths, International Conference on Dynamics and Numbers, American Mathematical Society, 2016, pp. 261-283. 205. I. E. Shparlinski, On bilinear exponential and character sums with reciprocals of polynomials, Mathematika 62 (2016), no. 3, 842859. 206. I. E. Shparlinski, Polynomial values in small subgroups of finite fields, Revista Matematica Iberoamericana 32 (2016), no. 4, 1127-1136.

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149

207. I. E. Shparlinski, Linear congruences with ratios, Proceedings Of The American Mathematical Society 144 (2016), no. 7, 2837-2846. 208. I. E. Shparlinski, Ratios of small integers in multiplicative subgroups of residue rings, Experimental Mathematics 25 (2016), no. 3, 273280. 209. I. E. Shparlinski, On the additive energy of the distance set in finite fields, Finite Fields and their Applications 42 (2016), 187-199. 210. I. E. Shparlinski and A. V. Sutherland, Finding elliptic curves with a subgroup of prescribed size, International Journal of Number Theory 13 (2016), no. 1, 133-152. 211. I. E. Shparlinski and K. H. Yau, Bounds of double multiplicative character sums and gaps between residues of exponential functions, Journal of Number Theory 167 (2016), 304-316. 212. I. E. Shparlinski and T. Zhang, Cancellations amongst Kloosterman sums, Acta Arithmetica 176 (2016), no. 3, 201-210. 213. N. Skliris, J. D. Zika, G. Nurser, S. A. Josey and R. Marsh, Global water cycle amplifying at less than the Clausius-Clapeyron rate, Scientific Reports 6 (2016). 214. J. Stoklosa, Y. H. Huang, E. Furlan and W. H. Hwang, On quadratic logistic regression models when predictor variables are subject to measurement error, Computational Statistics and Data Analysis 95 (2016), 109-121. 215. J. Stoklosa, W. H. Hwang, P. S. F. Yip and R. M. Huggins, Accounting for contamination and outliers in covariates for open population capture-recapture models, Journal of Statistical Planning and Inference 176 (2016), 52-63. 216. F. Sukochev, Hölder inequality for symmetric operator spaces and trace property of k-cycles, Bulletin of the London Mathematical Society 48 (2016), no. 4, 637-647. 217. F. Sukochev, K. Tulenov and D. Zanin, Nehari-type theorem for noncommutative Hardy spaces, Journal of Geometric Analysis 27 (2016), no. 3, 1789-1802. 218. F. Sukochev and A. Usachev, Dixmier traces and non-commutative analysis, Journal of Geometry and Physics 105 (2016), 102-122.

150

219. G. Suryanarayana, D. Nuyens and R. Cools, Reconstruction and collocation of a class of non-periodic functions by sampling along tenttransformed rank-1 lattices, Journal of Fourier Analysis and Applications 22 (2016), no. 1, 187-214. 220. K. Suzuki and T. Yoshiki, Formulas for the Walsh coefficients of smooth functions and their application to bounds on the Walsh coefficients, Journal of Approximation Theory 205 (2016), 1-24. 221. T. Tan, L. Mooren, R. Grzebieta and J. Olivier, The correlation between governance quality and road fatalities, Australasian Road Safety Conference, 2016, pp. 222. T. C. Tan, R. H. Grzebieta, M. R. Bambach, J. Olivier and A. S. McIntosh, A case–control study of vehicle panel damage and thoracic injury in rollover crashes, International Journal of Crashworthiness 21 (2016), no. 4, 367-383. 223. C. Thai Doan, Normal regularity for the feasible set of semi-infinite multiobjective optimization problems with applications, Annals of Operations Research (2016). 224. C. Thai Doan and Jeyakumar, A generalized Farkas lemma with a numerical certificate and linear semiinfinite programs with SDP duals, Linear Algebra and Its Applications 515 (2016), 38-52. 225. C. C. Tisdell, Existence of solutions to second-order boundary value problems without growth restrictions, Electronic Journal of Qualitative Theory of Differential Equations (2016). 226. C. C. Tisdell, Basic existence and a priori bound results for solutions to systems of boundary value problems for fractional differential equations, Electronic Journal of Differential Equations (2016), no. 84, 1-9. 227. C. C. Tisdell, Discrete approaches to continuous boundary value problems: Existence and convergence of solutions, Abstract and Applied Analysis (2016). 228. C. C. Tisdell, Alternate solution to generalized Bernoulli equations via an integrating factor: An exact differential equation approach, International Journal of Mathematical Education in Science and Technology 48 (2016), no. 6, 913918.

229. C. C. Tisdell and B. Loch, How useful are closed captions for learning mathematics via online video?, International Journal of Mathematical Education in Science and Technology (2016). 230. C. C. Tisdell and A. Usachev, How a blended, M-learning approach to student evaluations increases participation rates, 15th World Conference on Mobile and Contextual Learning, mLearn 2016, The University of Technology, Sydney, 2016, pp. 226-232. 231. W. J. Toe, I. Ortega-Piwonka, C. N. Angstmann, Q. Gao, H. H. Tan, C. Jagadish, B. I. Henry and P. J. Reece, Nonconservative dynamics of optically trapped high-aspect-ratio nanowires, Physical Review E 93 (2016), no. 2. 232. K. T. Tonks, A. C. Coster, M. J. Christopher, R. Chaudhuri, A. Xu, J. Gagnon-Bartsch, D. J. Chisholm, D. E. James, P. J. Meikle, J. R. Greenfield and D. Samocha-Bonet, Skeletal muscle and plasma lipidomic signatures of insulin resistance and overweight/obesity in humans, Obesity 24 (2016), no. 4, 908-916. 233. N. H. Tuan, L. D. Long, V. T. Nguyen and T. Tran, On a final value problem for the time-fractional diffusion equation with inhomogeneous source, Inverse Problems in Science and Engineering 25 (2016), no. 9, 1367-1395. 234. A. Velay, H. Jeulin, M. Eschlimann, B. Malvé, F. Goehringer, M. Bensenane, J. P. Frippiat, P. Abraham, A. M. Ismail, J. M. Murray, C. Combet, F. Zoulim, J. P. Bronowicki and E. Schvoerer, Characterization of hepatitis B virus surface antigen variability and impact on HBs antigen clearance under nucleos(t) ide analogue therapy, Journal of Viral Hepatitis 23 (2016), no. 5, 387398. 235. C. Vergé, J. Morio and P. Del Moral, An island particle algorithm for rare event analysis, Reliability Engineering & System Safety 149 (2016), 63-75. 236. C. Vergé, J. Morio, P. Del Moral and J. C. D. Pérez, “Probabilistic safety analysis of the collision between a space debris and a satellite with an island particle algorithm,” Springer optimization and its applications, 2016, pp. 443-457.

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237. J. C. Walsh, C. N. Angstmann, A. V. McGann, B. I. Henry, I. G. Duggin and P. M. G. Curmi, Patterning of the mind cell division protein in cells of arbitrary shape can be predicted using a heuristic dispersion relation, AIMS Biophysics 3 (2016), no. 1, 119-145. 238. H. Wang and I. H. Sloan, On filtered polynomial approximation on the sphere, Journal of Fourier Analysis and Applications 23 (2016), no. 4, 863-876. 239. Y. G. Wang, I. H. Sloan and R. S. Womersley, Riemann localisation on the sphere, Journal of Fourier Analysis and Applications (2016), 1-43. 240. D. I. Warton, M. Lyons, J. Stoklosa and A. R. Ives, Three points to consider when choosing a LM or GLM test for count data, Methods in Ecology and Evolution 7 (2016), no. 8, 882-890. 241. A. R. Weeks, J. Stoklosa and A. A. Hoffmann, Conservation of genetic uniqueness of populations may increase extinction likelihood of endangered species: The case of Australian mammals, Frontiers in Zoology 13 (2016), no. 1.

247. H. Zhu and J. Dick, A discrepancy bound for deterministic acceptancerejection samplers beyond N −¹/2 , Statistics and Computing 27 (2016), no. 4, 901-911. 248. H. Zhu and J. Dick, “Discrepancy estimates for acceptance-rejection samplers using stratified inputs,” Monte Carlo and quasi-Monte Carlo methods, Springer, 2016, pp. 599619. 249. W. Zhu and Y. Fan, Relabelling algorithms for mixture models with applications for large data sets, Journal of Statistical Computation and Simulation 86 (2016), no. 2, 394413. 250. W. Zhu, J. Ouyang, Y. Rakvongthai, N. J. Guehl, D. W. Wooten, G. El Fakhri, M. D. Normandin and Y. Fan, A Bayesian spatial temporal mixtures approach to kinetic parametric images in dynamic positron emission tomography, Medical Physics 43 (2016), no. 3, 1222-1234.

2017 PUBLICATIONS

7.* C. N. Angstmann, B. I. Henry, B. Jacobs and A. McGann, Discretization of fractional differential equations by a piecewise constant approximation, Mathematical Modelling of Natural Phenomena 12 (2017), no. 6, 23-36. 8.* C. N. Angstmann, B. I. Henry, B. A. Jacobs and A. V. McGann, A timefractional generalised advection equation from a stochastic process, Chaos, Solitons and Fractals 102 (2017), 175-183. 9.* C. N. Angstmann, B. I. Henry, B. A. Jacobs and A. V. McGann, Integrablization of time fractional PDEs, Computers and Mathematics with Applications 73 (2017), no. 6, 1053-1062. 10.* C. N. Angstmann, B. I. Henry and A. V. McGann, Generalized fractional diffusion equations for subdiffusion in arbitrarily growing domains, Physical Review E 96 (2017), no. 4, 042153-042153. 11. M. R. Archer, M. Roughan, S. R. Keating and A. Schaeffer, On the variability of the East Australian Current: Jet structure, meandering, and influence on shelf circulation, Journal of Geophysical Research: Oceans 122 (2017), no. 11, 8464-8481.

242. W. Wen, A. Thalamuthu, K. A. Mather, W. Zhu, J. Jiang, P. L. De Micheaux, M. J. Wright, D. Ames and P. S. Sachdev, Distinct genetic influences on cortical and subcortical brain structures, Scientific Reports 6 (2016), 32760-32760.

R. J. R. Abel, D. Combe, A. M. Nelson and W. D. Palmer, Block designs signed over groups of order 2n 3m, Discrete Mathematics 340 (2017), no. 12, 2925-2940.

243. N. J. Wildberger and A. Alkhaldi, The parabola in universal hyperbolic geometry II: Canonical points and the the ϒ-conic, Journal for Geometry and Graphics (2016).

E. Alekhno, E. Semenov, F. Sukochev and A. Usachev, Order and geometric properties of the set of Banach limits, St. Petersburg Mathematical Journal 28 (2017), no. 3, 299-321.

12. M. Aurada, M. Feischl, T. Führer, M. Karkulik, J. M. Melenk and D. Praetorius, Local inverse estimates for non-local boundary integral operators, Mathematics of Computation 86 (2017), no. 308, 2651-2686.

E. A. Alekhno, E. M. Semenov, F. A. Sukochev and A. S. Usachev, Banach limits: Invariance and functional characteristics, Doklady Mathematics 96 (2017), no. 1, 305307.

13. T. V. Ball, H. E. Huppert, J. R. Lister and J. A. Neufeld, The relaxation time for viscous and porous gravity currents following a change in flux, Journal of Fluid Mechanics 821 (2017), 330-342.

J. G. Andreasson and P. V. Shevchenko, Assessment of policy changes to means-tested age pension using the expected utility model: Implication for decisions in retirement, RISKS 5 (2017), no. 3.

14. W. D. Banks and I. E. Shparlinski, On coincidences among quadratic fields generated by the Shanks sequence, Quarterly Journal of Mathematics 68 (2017), no. 2, 465-484.

C. Angstmann, B. I. Henry and A. McGann, A fractional-order infectivity and recovery SIR model, Fractal and Fractional 1 (2017), no. 1, 11-11.

244. P. S. F. Yip, Q. Cheng, S. S. Chang, E. S. T. Lee, C. S. C. Lai, F. Chen, Y. W. F. Law, T. M. E. Cheng, S. M. Chiu, T. L. J. Tse, K. W. R. Cheung, M. L. Tse, P. R. Morgan and P. Beh, A public health approach in responding to the spread of helium suicide in Hong Kong: A case report, Crisis 38 (2016), no. 4, 269-277. 245. C. J. Zappa, M. L. Banner, R. P. Morison and S. E. Brumer, On the variation of the effective breaking strength in oceanic sea states, Journal of Physical Oceanography 46 (2016), no. 7, 2049-2061. 246. M. Zhang and L. Chan, Pricing volatility swaps in the Heston’s stochastic volatility model with regime switching: A saddlepoint approximation method, International Journal of Financial Engineering 3 (2016), no. 04, 1650030.

6.* C. N. Angstmann, A. M. Erickson, B. I. Henry, A. McGann, J. Murray and J. Nichols, Fractional order compartment models, SIAM Journal on Applied Mathematics 77 (2017), no. 2, 430-446.

15. P. M. Barker and T. J. McDougall, Stabilizing hydrographic profiles with minimal change to the water masses, Journal of Atmospheric and Oceanic Technology 34 (2017), no. 9, 1935-1945. 16. L. Barreira, D. Dragičević and C. Valls, Nonuniform spectrum on Banach spaces, Advances in Mathematics (2017). 17. L. Barreira, D. Dragičević and C. Valls, Nonuniform exponential dichotomies and Fredholm operators for flows, Aequationes Mathematicae 91 (2017), no. 2, 301-316.

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151

18. L. Barreira, D. Dragičević and C. Valls, One-sided dichotomies versus two-sided dichotomies: Arbitrary growth rates, Quaestiones Mathematicae 40 (2017), no. 3, 381390.

28.* A. Ber, J. Huang, G. Levitina and F. Sukochev, Derivations with values in ideals of semifinite von Neumann algebras, Journal of Functional Analysis 272 (2017), no. 12, 49844997.

38. Z. Brzeź niak, B. Goldys and Q. T. L. Gia, Random attractors for the stochastic Navier--Stokes equations on the 2D unit sphere, Journal of Mathematical Fluid Mechanics (2017).

19. L. Barreira, D. Dragičević and C. Valls, Nonuniform exponential dichotomies and lyapunov functions, Regular and Chaotic Dynamics 22 (2017), no. 3, 197-209.

29. A. N. Bishop, P. D. Moral and S. D. Pathiraja, Perturbations and projections of Kalman-Bucy semigroups motivated by methods in data assimilation, Stochastic Processes and their Applications 128 (2017), no. 9, 2857-2904.

39. Z. Brzeź niak, B. Goldys and T. Jegaraj, Large deviations and transitions between equilibria for stochastic Landau–Lifshitz–Gilbert equation, Archive for Rational Mechanics and Analysis 226 (2017), no. 2, 1-62.

30. R. V. Blakey, R. T. Kingsford, B. S. Law and J. Stoklosa, Floodplain habitat is disproportionately important for bats in a large river basin, Biological Conservation 215 (2017), 1-10.

40. L. Buré, L. M. Boucher, M. Blumenkrantz, S. Schob, P. L. De Micheaux, C. Reinhold and B. Gallix, Can magnetic resonance spectroscopy differentiate malignant and benign causes of lymphadenopathy? An in-vitro approach, PLoS ONE 12 (2017), no. 8.

20. L. Barreira, D. Dragičević and C. Valls, Admissibility on the half line for evolution families, Journal d’Analyse Mathematique 132 (2017), no. 1, 157-176. 21. L. Barreira, D. Dragičević and C. Valls, Existence of conjugacies and stable manifolds via suspensions, Electronic Journal of Differential Equations 2017 (2017). 22. L. Barreira, D. Dragičević and C. Valls, Lyapunov type characterization of hyperbolic behavior, Journal of Differential Equations 263 (2017), no. 5, 3147-3173. 23. K. B. Barrett, J. M. Haynes and D. I. Warton, Thirty years of change in a benthic macroinvertebrate community of Southwestern Lake Ontario after invasion by four Ponto-Caspian species, Freshwater Science 36 (2017), no. 1, 90-102. 24. A. Barthel, A. McC Hogg, S. Waterman and S. Keating, Jettopography interactions affect energy pathways to the deep Southern Ocean, Journal Of Physical Oceanography 47 (2017), no. 7, 1799-1816. 25. D. Beck, J. A. I. Thoms, C. Palu, T. Herold, A. Shah, J. Olivier, L. Boelen, Y. Huang, D. Chacon, A. Brown, M. Babic, C. Hahn, M. Perugini, X. Zhou, B. J. Huntly, A. Schwarzer, J. H. Klusmann, W. E. Berdel, B. Wörmann, T. Büchner, W. Hiddemann, S. K. Bohlander, L. B. To, H. S. Scott, I. D. Lewis, R. J. D’Andrea, J. W. H. Wong and J. E. Pimanda, A four-gene lincRNA expression signature predicts risk in multiple cohorts of acute myeloid leukemia patients, Leukemia 32 (2017), no. 2, 263-272. 26. J. Bell and I. E. Shparlinski, Power series approximations to Fekete polynomials, Journal of Approximation Theory 222 (2017), 132-142. 27. J. Bennett, N. Bez, M. G. Cowling and T. C. Flock, Behaviour of the Brascamp-Lieb constant, Bulletin of the London Mathematical Society 49 (2017), no. 3, 512-518.

152

31. R. V. Blakey, B. S. Law, R. T. Kingsford and J. Stoklosa, Terrestrial laser scanning reveals belowcanopy bat trait relationships with forest structure, Remote Sensing of Environment 198 (2017), 40-51. 32. O. Bordellès, F. Luca and I. E. Shparlinski, On the error term of a lattice counting problem, Journal of Number Theory 182 (2017), 19-36. 33. J. M. Borwein, G. Li and M. K. Tam, Convergence rate analysis for averaged fixed point iterations in common fixed point problems, SIAM Journal on Optimization 27 (2017), no. 1, 1-33. 34. Z. Botev and P. L. Ecuyer, Simulation from the normal distribution truncated to an interval in the tail, 10th EAI International Conference on Performance Evaluation Methodologies and Tools., ACM, 2017, pp. 23-29. 35. Z. Botev and A. Ridder, “Variance reduction,” Wiley statsref: Statistics reference online, N. Balakrishnan, T. Colton, B. Everitt, W. Piegorsch, F. Ruggeri and J. L. Teugels (Editors), Wiley Online Library, 2017, pp. 1-6. 36. D. Bright, C. Greenhill, T. Britz, A. Ritter and C. Morselli, Criminal network vulnerabilities and adaptations, Global Crime 18 (2017), no. 4, 424-441. 37. N. Bruneau, J. Zika and R. Toumi, Can the ocean’s heat engine control horizontal circulation? Insights from the Caspian Sea, Geophysical Research Letters 44 (2017), no. 19, 9893-9900.

41. L. Capogna, G. Citti, E. Le Donne and A. Ottazzi, Conformality and Q-harmonicity in subRiemannian manifolds, Journal de Mathématiques Pures et Appliquées (2017). 42. A. Carey, F. Gesztesy, D. Potapov, F. Sukochev and Y. Tomilov, On the Witten index in terms of spectral shift functions, Journal d’Analyse Mathematique 132 (2017), no. 1. 43. G. Carvajal, A. Branch, P. Michel, S. A. Sisson, D. J. Roser, J. E. Drewes and S. J. Khan, Robust evaluation of performance monitoring options for ozone disinfection in water recycling using Bayesian analysis, Water Research 124 (2017), 605-617. 44. G. Carvajal, A. Branch, S. A. Sisson, D. J. Roser, B. van den Akker, P. Monis, P. Reeve, A. Keegan, R. Regel and S. J. Khan, Virus removal by ultrafiltration: Understanding long-term performance change by application of Bayesian analysis, Water Research 122 (2017), 269279. 45. G. Carvajal, D. J. Roser, S. A. Sisson, A. Keegan and S. J. Khan, Bayesian belief network modelling of chlorine disinfection for human pathogenic viruses in municipal wastewater, Water Research 109 (2017), 144154. 46. V. Casarino, M. G. Cowling, A. Martini and A. Sikora, Spectral multipliers for the kohn laplacian on forms on the sphere in Cn, Journal of Geometric Analysis 27 (2017), no. 4, 3302-3338. 47. D. Chan and B. Lerner, Moduli stacks of Serre stable representations in tilting theory, Advances in Mathematics 312 (2017), 588-635.

UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017— APPENDIX

48. M. C. Chang, B. Kerr and I. E. Shparlinski, On the exponential large sieve inequality for sparse sequences modulo primes, Journal of Mathematical Analysis and Applications 459 (2017), no. 1, 5381. 49. M. Che, G. Li, L. Qi and Y. Wei, Pseudo-spectra theory of tensors and tensor polynomial eigenvalue problems, Linear Algebra and Its Applications 533 (2017), 536-572. 50.* F. Chen and T. Stindl, Direct likelihood evaluation for the renewal Hawkes process, Journal of Computational and Graphical Statistics 27 (2017), no. 1, 119-131. 51. Q. Cheng, F. Chen, E. S. T. Lee and P. S. F. Yip, The role of media in preventing student suicides: A Hong Kong experience, Journal of Affective Disorders 227 (2017), 643648.

59. S. Clark, S. A. Sisson and A. Sharma, Nonlinear manifold representation in natural systems: The somersault, Environmental Modelling and Software 89 (2017), 61-76. 60. M. A. Coleman, P. Cetina-Heredia, M. Roughan, M. Feng, E. van Sebille and B. P. Kelaher, Anticipating changes to future connectivity within a network of marine protected areas, Global Change Biology 23 (2017), no. 9, 3533-3542. 61.* A. Connes, E. McDonald, F. Sukochev and D. Zanin, Conformal trace theorem for Julia sets of quadratic polynomials, Ergodic Theory and Dynamical Systems (2017), 1-26. 62. A. Connes, F. A. Sukochev and D. V. Zanin, Trace theorem for quasi-Fuchsian groups, Sbornik Mathematics 208 (2017), no. 10, 1473-1502.

52. Q. Cheng, F. Chen and P. S. F. Yip, Media effects on suicide methods: A case study on Hong Kong 19982005, PLoS ONE 12 (2017), no. 4.

63. M. G. Cowling and A. Ottazzi, Structure of stratified groups I. Product decompositions, Journal of Lie Theory 27 (2017), no. 1, 177-183.

53. N. H. Chieu, V. Jeyakumar and G. Li, A convergent hierarchy of SDP relaxations for a class of hard robust global polynomial optimization problems, Operations Research Letters 45 (2017), no. 4, 325-333.

64. B. Dawson, L. Young, J. M. Murray and I. Wilkinson, Drivers of suppliercustomer relationship profitability in China: Assessing international joint ventures versus state owned enterprises, Industrial Marketing Management 66 (2017), 29-41.

54. N. H. Chieu, V. Jeyakumar, G. Li and H. Mohebi, Constraint qualifications for convex optimization without convexity of constraints: New connections and applications to best approximation, European Journal of Operational Research 265 (2017), no. 1, 19-25. 55. V. Chilin and F. Sukochev, Blum– Hanson type ergodic theorems in noncommutative symmetric spaces, Journal Of Functional Analysis 273 (2017), no. 1, 329-351. 56. T. D. Chuong, Optimality conditions for nonsmooth multiobjective bilevel optimization problems, Annals of Operations Research (2017), 1-26. 57. T. D. Chuong and V. Jeyakumar, An exact formula for radius of robust feasibility of uncertain linear programs, Journal of Optimization Theory and Applications 173 (2017), no. 1, 203-226. 58. P. Ciatti and M. G. Cowling, On derivations of subalgebras of real semisimple Lie algebras, Annali di Matematica Pura ed Applicata 197 (2017), no. 1, 233-259.

65. S. K. Dawson, R. T. Kingsford, P. Berney, J. A. Catford, D. A. Keith, J. Stoklosa and F. A. Hemmings, Contrasting influences of inundation and land use on the rate of floodplain restoration, Aquatic Conservation: Marine and Freshwater Ecosystems 27 (2017), no. 3, 663-674. 66. S. K. Dawson, R. T. Kingsford, P. Berney, D. A. Keith, F. A. Hemmings, D. I. Warton, C. Waters and J. A. Catford, Frequent inundation helps counteract land use impacts on wetland propagule banks, Applied Vegetation Science 20 (2017), no. 3, 459-467. 67. S. K. Dawson, D. I. Warton, R. T. Kingsford, P. Berney, D. A. Keith and J. A. Catford, Plant traits of propagule banks and standing vegetation reveal flooding alleviates impacts of agriculture on wetland restoration, Journal of Applied Ecology 54 (2017), no. 6, 1907-1918. 68. C. De Lavergne, G. Madec, F. Roquet, R. M. Holmes and T. J. McDougall, Abyssal ocean overturning shaped by seafloor distribution, Nature 551 (2017), no. 7679, 181-186.

69. B. de Pagter, P. G. Dodds and F. A. Sukochev, On weak* convergent sequences in duals of symmetric spaces of τ-measurable operators, Israel Journal of Mathematics 222 (2017), no. 1, 125-164. 70. A. Desgagné and P. Lafaye de Micheaux, A powerful and interpretable alternative to the Jarque–Bera test of normality based on 2nd-power skewness and kurtosis, using the Rao’s score test on the APD family, Journal of Applied Statistics (2017), 1-21. 71. T. DeVries, M. Holzer and F. Primeau, Recent increase in oceanic carbon uptake driven by weaker upperocean overturning, Nature 542 (2017), no. 7640, 215-218. 72. J. Dick, R. N. Gantner, Q. T. Le Gia and C. Schwab, Multilevel higherorder quasi-Monte Carlo Bayesian estimation, Mathematical Models and Methods in Applied Sciences 27 (2017), no. 5, 953-995. 73. J. Dick, T. Goda, K. Suzuki and T. Yoshiki, Construction of interlaced polynomial lattice rules for infinitely differentiable functions, Numerische Mathematik 137 (2017), no. 2, 257288. 74. J. Dick, D. Gomez-Perez, F. Pillichshammer and A. Winterhof, Digital inversive vectors can achieve polynomial tractability for the weighted star discrepancy and for multivariate integration, Proceedings of the American Mathematical Society 145 (2017), no. 8, 32973310. 75. J. Dick, A. Hinrichs, L. Markhasin and F. Pillichshammer, Discrepancy of second order digital sequences in function spaces with dominating mixed smoothness, Mathematika 63 (2017), no. 3, 863-894. 76. J. Dick, A. Hinrichs, L. Markhasin and F. Pillichshammer, Optimal Lpdiscrepancy bounds for second order digital sequences, Israel Journal of Mathematics 221 (2017), no. 1, 489-510. 77. J. Dick, F. Pillichshammer, K. Suzuki, M. Ullrich and T. Yoshiki, Latticebased integration algorithms: Kronecker sequences and rank-1 lattices, Annali di Matematica Pura ed Applicata 197 (2017), no. 1, 109126. 78. R. Dietmann, C. Elsholtz and I. E. Shparlinski, Prescribing the binary digits of squarefree numbers and quadratic residues, Transactions of the American Mathematical Society 369 (2017), no. 12, 8369-8388.

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153

79. I. Doust, S. Sánchez and A. Weston, Asymptotic negative type properties of finite ultrametric spaces, Journal of Mathematical Analysis and Applications 446 (2017), no. 2, 17761793.

91. M. Feischl and T. Tran, Existence of regular solutions of the LandauLifshitz-Gilbert equation in 3D with natural boundary conditions, SIAM Journal on Mathematical Analysis 49 (2017), no. 6, 4470-4490.

102. G. Geenens and T. Cuddihy, Nonparametric evidence of secondleg home advantage in European football, Journal of the Royal Statistical Society. Series A: Statistics in Society (2017).

80. D. Dragičević, Lyapunov type equation for discrete exponential trichotomies, The Journal of Nonlinear Sciences and Applications 10 (2017), no. 04, 2001-2017.

92. M. Feischl and T. Tran, The eddy current-LLG equations: FEM-BEM coupling and a priori error estimates, SIAM Journal on Numerical Analysis 55 (2017), no. 4, 1786-1819.

81. D. Dragičević, Strong nonuniform behaviour: A Datko type characterization, Journal of Mathematical Analysis and Applications 459 (2017), no. 1, 266290.

93. J. Feng, D. Wu, W. Gao and G. Li, Non-deterministic free vibration analysis of structures with random and fuzzy parameters, ASME 2017 International Mechanical Engineering Congress and Exposition, 2017, pp.

103. M. J. Golding, H. E. Huppert and J. A. Neufeld, Two-phase gravity currents resulting from the release of a fixed volume of fluid in a porous medium, Journal of Fluid Mechanics 832 (2017), 550-577.

82. V, Datko-Pazy conditions for nonuniform exponential stability, Journal of Difference Equations and Applications 24 (2017), no. 3, 344357.

94. J. Feng, D. Wu, W. Gao and G. Li, Uncertainty analysis for structures with hybrid random and interval parameters using mathematical programming approach, Applied Mathematical Modelling 48 (2017), 208-232.

83. J. Du, H. Gu and J. Wang, Representations of q-Schur superalgebras in positive characteristics, Journal of Algebra 481 (2017), 393-419. 84. J. Du, B. J. Parshall and L. L. Scott, Stratifying endomorphism algebras using exact categories, Journal of Algebra 475 (2017), 229-250. 85. J. Du, B. J. Parshall and L. L. Scott, Local and global methods in representations of Hecke algebras, Science China Mathematics 61 (2017), no. 2, 207-226. 86. A. Dubickas, M. Sha and I. E. Shparlinski, On distances in lattices from algebraic number fields, Moscow Mathematical Journal 17 (2017), no. 2, 239-268. 87. K. Dykema, F. Sukochev and D. Zanin, Determinants associated to traces on operator bimodules, Journal of Operator Theory 78 (2017), no. 1, 119-134. 88. K. Dykema, F. Sukochev and D. Zanin, An upper triangular decomposition theorem for some unbounded operators affiliated to II1-factors, Israel Journal of Mathematics 222 (2017), no. 2, 645-709. 89. Y. Fan, P. L. de Micheaux, S. Penev and D. Salopek, Multivariate nonparametric test of independence, Journal of Multivariate Analysis 153 (2017), 189-210. 90. Y. Fan, R. Olson and J. P. Evans, A Bayesian posterior predictive framework for weighting ensemble regional climate models, Geoscientific Model Development 10 (2017), no. 6, 2321-2332.

154

95. J. W. Franklin, Discrete and continuous: A fundamental dichotomy of mathematics, Journal of Humanistic Mathematics 7 (2017), no. 2, 355-378. 96. J. W. Franklin, “Early modern mathematical principles and symmetry arguments,” The idea of principles in early modern thought interdisciplinary perspectives, Routledge, New York, 2017, pp. 16-44. 97. G. Froyland and P. Koltai, Estimating long-term behavior of periodically driven flows without trajectory integration, Nonlinearity 30 (2017), no. 5, 1948-1986. 98. G. Froyland and E. Kwok, A dynamic Laplacian for identifying Lagrangian coherent structures on weighted Riemannian manifolds, Journal of Nonlinear Science (2017), 1-83. 99. G. Froyland, S. Pucilowski and A. Tordesillas, Self-organization in the localised failure regime: Metastable attractors and their implications on force chain functionality, Powders & Grains 2017, 2017, pp.

104. A. Goyal and J. M. Murray, Roadmap to control HBV and HDV epidemics in China, Journal of Theoretical Biology 423 (2017), 41-52. 105. C. Greenhill, M. Isaev, M. Kwan and B. D. McKay, The average number of spanning trees in sparse graphs with given degrees, European Journal of Combinatorics 63 (2017), 6-25. 106. C. Greenhill and M. Sfragara, The switch Markov chain for sampling irregular graphs and digraphs, Theoretical Computer Science 719 (2017), 1-20. 107. M. Griebel, F. Kuo and I. Sloan, Note on “the smoothing effect of integration in ℝ d and the ANOVA decomposition, Mathematics of Computation 86 (2017), no. 306, 1847-1854.. 108. M. Griebel, F. Kuo and I. Sloan, The ANOVA decomposition of a non-smooth function of infinitely many variables can have every term smooth, Mathematics of Computation 86 (2017), no. 306, 1855-1876. 109. S. Groeskamp, B. M. Sloyan, J. D. Zika and T. J. McDougall, Mixing inferred from an ocean climatology and surface fluxes, Journal Of Physical Oceanography 47 (2017), no. 3, 667-687. 110. R. Grzebieta, J. Olivier and S. Boufous, Reducing serious injury from road traffic crashes, Medical Journal of Australia 207 (2017), no. 6.

100. G. Froyland and N. Santitissadeekorn, Optimal mixing enhancement, SIAM Journal on Applied Mathematics 77 (2017), no. 4, 1444-1470.

111. A. Hadjighasem, M. Farazmand, D. Blazevski, G. Froyland and G. Haller, A critical comparison of Lagrangian methods for coherent structure detection, CHAOS 27 (2017), no. 5.

101. A. C. N. Garabato, G. A. MacGilchrist, P. J. Brown, D. G. Evans, A. J. S. Meijers and J. D. Zika, High-latitude ocean ventilation and its role in Earth’s climate transitions, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 375 (2017), no. 2102.

112. M. Hanke and S. Penev, Comparing large-sample maximum Sharpe ratios and incremental variable testing, European Journal of Operational Research 265 (2017), no. 2, 571-579.

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113. M. Hanke, S. Penev, W. Schief and A. Weissensteiner, Random orthogonal matrix simulation with exact means, covariances, and multivariate skewness, European Journal of Operational Research 263 (2017), no. 2, 510-523. 114. W. Hart, D. Harvey and W. Ong, Irregular primes to two billion, Mathematics of Computation 86 (2017), no. 308, 3031-3049. 115. D. Harvey and J. van der Hoeven, On the complexity of integer matrix multiplication, Journal of Symbolic Computation 89 (2017), 1-8. 116. D. Harvey, J. Van Der Hoeven and G. Lecerf, Faster polynomial multiplication over finite fields, Journal of the ACM 63 (2017), no. 6. 117. K. Hesse, I. H. Sloan and R. S. Womersley, Radial basis function approximation of noisy scattered data on the sphere, Numerische Mathematik 137 (2017), no. 3, 579605. 118. M. D. Hirschhorn, Ramanujan’s tau function, Analytic Number Theory, Modular Forms and q-Hypergeometric Series, pp. 311328. 119. M. D. Hirschhorn, Broken 2-diamond partitions modulo 5, Ramanujan Journal 45 (2017), no. 2, 517-520. 120. M. D. Hirschhorn, A conjecture of B. Lin on cubic partition pairs, Ramanujan Journal 45 (2017), no. 3, 781-795. 121. M. D. Hirschhorn, Partitions and powers of 13, Journal of Number Theory 178 (2017), 146-157. 122. M. D. Hirschhorn, The Power of q a personal journey, Springer, 2017. 123. C. A. R. Hogg, S. B. Dalziel, H. E. Huppert and J. Imberger, Inclined gravity currents filling basins: The impact of peeling detrainment on transport and vertical structure, Journal of Fluid Mechanics 820 (2017), 400-423. 124. M. Holzer, T. DeVries, D. Bianchi, R. Newton, P. Schlosser and G. Winckler, Objective estimates of mantle ³He in the ocean and implications for constraining the deep ocean circulation, Earth and Planetary Science Letters 458 (2017), 305-314. 125. J. Huang, G. Levitina and F. Sukochev, Completeness of symmetric δ-normed spaces of τ-measurable operators, Studia Mathematica 237 (2017), no. 3, 201219.

126. R. Huggins, J. Stoklosa, C. Roach and P. Yip, Estimating the size of an open population using sparse capture–recapture data, Biometrics 74 (2017), no. 1, 280-288. 127. F. K. C. Hui, D. I. Warton, J. T. Ormerod, V. Haapaniemi and S. Taskinen, Variational approximations for generalized linear latent variable models, Journal of Computational and Graphical Statistics 26 (2017), no. 1, 35-43.

136. Q. T. Le Gia, I. H. Sloan, Y. G. Wang and R. S. Womersley, Needlet approximation for isotropic random fields on the sphere, Journal of Approximation Theory 216 (2017), 86-116. 137. K. N. Le, W. McLean and B. Lamichhane, Finite element approximation of a time-fractional diffusion problem for a domain with a re-entrant corner, The ANZIAM Journal 59 (2017), no. 1, 61-82.

128. G. Ivanyos, M. Karpinski, M. Santha, N. Saxena and I. E. Shparlinski, Polynomial interpolation and identity testing from high powers over finite fields, Algorithmica 80 (2017), no. 2, 560-575.

138. G. Li, T. Liu and T. K. Pong, Peaceman–Rachford splitting for a class of nonconvex optimization problems, Computational Optimization and Applications 68 (2017), no. 2, 407-436.

129. M. Jeanblanc, L. Li and S. Song, An enlargement of filtration formula with applications to multiple nonordered default times, Finance and Stochastics 22 (2017), no. 1, 205240.

139. G. Li and T. K. Pong, Calculus of the exponent of Kurdyka–Łojasiewicz inequality and its applications to linear convergence of firstorder methods, Foundations of Computational Mathematics (2017), 1-34.

130. Y. Jiao, F. Sukochev, D. Zanin and D. Zhou, Johnson–Schechtman inequalities for noncommutative martingales, Journal of Functional Analysis 272 (2017), no. 3, 976-1016. 131. R. Julian and R. Abel, Existence of near resolvable (ⱱᴋk-1) BIBDs with ᴋє {9,12,16}, Australasian Journal Of Combinatorics, 67 (2017), 25-45. 132. M. Junge, F. Sukochev and D. Zanin, Embeddings of operator ideals into Lp-spaces on finite von Neumann algebras, Advances in Mathematics 312 (2017), 473-546. 133. F. Y. Kuo, D. Nuyens, L. Plaskota, I. H. Sloan and G. W. Wasilkowski, Infinitedimensional integration and the multivariate decomposition method, Journal of Computational and Applied Mathematics 326 (2017), 217-234. 134. F. Y. Kuo, R. Scheichl, C. Schwab, I. H. Sloan and E. Ullmann, Multilevel quasi-Monte Carlo methods for lognormal diffusion problems, Mathematics of Computation 86 (2017), no. 308, 2827-2860. 135. F. Y. Kuo, I. H. Sloan and H. Woźniakowski, Multivariate integration for analytic functions with Gaussian kernels, Mathematics of Computation 86 (2017), no. 304, 829-853. 136. Q. T. Le Gia, H. Gimperlein, M. Maischak and E. P. Stephan, Solving approximate cloaking problems using finite element methods, Computational Techniques and Applications Conference, pp. C162-C174

140. J. Li, D. J. Nott, Y. Fan and S. A. Sisson, Extending approximate Bayesian computation methods to high dimensions via a Gaussian copula model, Computational Statistics and Data Analysis 106 (2017), 77-89. 141. X. Li, Z. Liu and C. C. Tisdell, Existence and exact controllability of fractional evolution inclusions with damping, Mathematical Methods in the Applied Sciences 40 (2017), no. 12, 4548-4559. 142. X. Li, Z. Liu and C. C. Tisdell, Approximate controllability of fractional control systems with time delay using the sequence method, Electronic Journal of Differential Equations 272 (2017), 1-11. 143. K. Liu, I. E. Shparlinski and T. Zhang, Squares in Piatetski-Shapiro sequences, Acta Arithmetica 181 (2017), no. 3, 239-252. 145.*S. Lord, E. McDonald, F. Sukochev and D. Zanin, Quantum differentiability of essentially bounded functions on Euclidean space, Journal of Functional Analysis 273 (2017), no. 7, 2353-2387. 146. F. Luca, M. Sha and I. E. Shparlinski, On two functions arising in the study of the Euler and Carmichael quotients, Colloquium Mathematicum 149 (2017), no. 2, 179-192. 147. S. Macnamara, B. Henry and W. McLean, Fractional Euler limits and their applications, SIAM Journal on Applied Mathematics 77 (2017), no. 2, 447-469.

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148. B. Madafiglio, A. Bruce and I. MacGill, Impact of demand response in the Australian national electricity market with high renewable energy penetration, Asia Pacific Solar Research Conference, Australian PV Institute, 2017.

158. P. D. Moral, A. Kurtzmann and J. Tugaut, On the stability and the uniform propagation of chaos of a class of extended ensemble KalmanBucy filters, SIAM J. Control and Optimization 55 (2017), no. 1, 119155.

149. B. Mans, M. Sha, I. E. Shparlinski and D. Sutantyo, On functional graphs of quadratic polynomials, Experimental Mathematics (2017), 1-9.

159. P. D. Moral and S. Penev, Stochastic processes from applications to theory, CRC Press, 2017.

150. D. F. Mansfield and N. J. Wildberger, Plimpton 322 is Babylonian exact sexagesimal trigonometry, Historia Mathematica 44 (2017), no. 4, 395419. 151. A. Mantovanelli, S. R. Keating, L. R. Wyatt, M. Roughan and A. Schaeffer, Lagrangian and Eulerian characterization of two counterrotating submesoscale eddies in a Western boundary current, Journal of Geophysical Research: Oceans (2017). 152. A. McCarthy and W. K. Schief, On the combinatorics of Demoulin transforms and (discrete) projective minimal surfaces, Discrete and Computational Geometry 57 (2017), no. 1, 215-230. 153. T. J. McDougall and R. Ferrari, Abyssal upwelling and downwelling driven by near-boundary mixing, Journal of Physical Oceanography 47 (2017), no. 2, 261-283. 154. T. J. McDougall, S. Groeskamp and S. M. Griffies, Comment on Tailleux, R. Neutrality versus materiality: A thermodynamic theory of neutral surfaces. Fluids 2016, 1, 32, FLUIDS 2 (2017), no. 2. 155. L. Meredith, C. Hurren, E. Clarke, M. Fitzharris, M. Baldock, L. de Rome, J. Olivier and J. Brown, Validation of the abrasion resistance test protocols and performance criteria of en13595: The probability of soft tissue injury to motorcycle riders by abrasion resistance of their clothing, Journal of Safety Research 61 (2017), 1-7. 156. P. Miron, F. J. Beron-Vera, M. J. Olascoaga, J. Sheinbaum, P. PérezBrunius and G. Froyland, Lagrangian dynamical geography of the Gulf of Mexico, Scientific Reports 7 (2017), no. 1. 157. M. K. Montgomery, S. H. J. Brown, T. W. Mitchell, A. C. F. Coster, G. J. Cooney and N. Turner, Association of muscle lipidomic profile with highfat diet-induced insulin resistance across five mouse strains, Sci Rep 7 (2017), no. 1, 13914.

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160. J. M. Murray, S. Maher, T. Mota, K. Suzuki, A. D. Kelleher, R. J. Center and D. Purcell, Differentiating founder and chronic HIV envelope sequences, PLoS ONE 12 (2017), no. 2. 161. J. M. Murray, J. Zaunders, S. Emery, D. A. Cooper, W. J. Hey-Nguyen, K. K. Koelsch and A. D. Kelleher, HIV dynamics linked to memory CD4+ T cell homeostasis, PLoS ONE 12 (2017), no. 10. 162. J. Niku, D. I. Warton, F. K. C. Hui and S. Taskinen, Generalized linear latent variable models for multivariate count and biomass data in ecology, Journal of Agricultural, Biological, and Environmental Statistics 22 (2017), no. 4, 498-522. 163. J. Olivier and P. Creighton, Bicycle injuries and helmet use: A systematic review and meta-analysis, Int J Epidemiol 46 (2017), no. 1, 278-292. 164. J. Olivier and I. Radun, Bicycle helmet effectiveness is not overstated, Traffic Injury Prevention 18 (2017), no. 7, 755-760. 165. R. Olson, S. I. An, Y. Fan, J. P. Evans and L. Caesar, North Atlantic observations sharpen meridional overturning projections, Climate Dynamics 50 (2018), no. 11-12, 4171-4188. 166. V. M. H. Ong, D. J. Nott, M. N. Tran, S. A. Sisson and C. C. Drovandi, Variational Bayes with synthetic likelihood, Statistics and Computing 28 (2017), no. 4, 971-988. 167. A. Ostafe, M. Sha, I. E. Shparlinski and U. Zannier, On Abelian multiplicatively dependent points on a curve in a torus, The Quarterly Journal of Mathematics (2017). 168. A. Ostafe and I. E. Shparlinski, “Orbits of algebraic dynamical systems in subgroups and subfields,” Number theory diophantine problems, uniform distribution and applications: Festschrift in honour of robert f. Tichy’s 60th birthday, C. Elsholtz and P. Grabner (Editors), Springer, 2017, pp. 347-368.

169. A. Ottazzi and G. Schmalz, Normal forms of para-CR hypersurfaces, Differential Geometry and its Application 52 (2017), 78-93. 170. B. Pasquier and M. Holzer, Inversemodel estimates of the ocean’s coupled phosphorus, silicon, and iron cycles, Biogeosciences 14 (2017), no. 18, 4125-4159. 171. I. Pesenson, Q. T. L. Gia, A. Mayeli, H. Mhaskar and D. X. Zhou, Frames and other bases in abstract and function spaces novel methods in harmonic analysis, Birkhäuser, 2017. 172. I. Pesenson, Q. T. L. Gia, A. Mayeli, H. Mhaskar and D. X. Zhou, Recent applications of harmonic analysis to function spaces, differential equations, and data science novel methods in harmonic analysis, Birkhäuser, 2017. 173. D. Potapov, A. Skripka, F. Sukochev and A. Tomskova, Multilinear Schur multipliers and Schatten properties of operator Taylor remainders, Advances in Mathematics 320 (2017), 1063-1098. 174. R. C. Poulos, J. Olivier and J. W. H. Wong, The interaction between cytosine methylation and processes of DNA replication and repair shape the mutational landscape of cancer genomes, Nucleic Acids Research 45 (2017), no. 13, 7786-7795. 175. D. R. Roberts, V. Bahn, S. Ciuti, M. S. Boyce, J. Elith, G. GuilleraArroita, S. Hauenstein, J. J. LahozMonfort, B. Schröder, W. Thuiller, D. I. Warton, B. A. Wintle, F. Hartig and C. F. Dormann, Cross-validation strategies for data with temporal, spatial, hierarchical, or phylogenetic structure, Ecography 40 (2017), no. 8, 913-929. 176. M. Roughan, S. R. Keating, A. Schaeffer, P. Cetina Heredia, C. Rocha, D. Griffin, R. Robertson and I. M. Suthers, A tale of two eddies: The biophysical characteristics of two contrasting cyclonic eddies in the East Australian Current System, Journal of Geophysical Research: Oceans (2017). 179. J. Rué, C. Spiegel and A. Zumalacárregui, Threshold functions and Poisson convergence for systems of equations in random sets, Mathematische Zeitschrift 288 (2017), no. 1-2, 333-360.

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180. A. Saket, W. L. Peirson, M. L. Banner, X. Barthelemy and M. J. Allis, On the threshold for wave breaking of two-dimensional deep water wave groups in the absence and presence of wind, Journal of Fluid Mechanics 811 (2017), 642-658. 181. A. Schaeffer, A. Gramoulle, M. Roughan and A. Mantovanelli, Characterizing frontal eddies along the east Australian current from HF radar observations, Journal Geophysical Research: Oceans 122 (2017), no. 5, 3964-3980. 182. A. Schaeffer and M. Roughan, Subsurface intensification of marine heatwaves off Southeastern Australia: The role of stratification and local winds, Geophysical Research Letters 44 (2017), no. 10, 5025-5033. 183. W. K. Schief, Gaussian and mean curvatures for discrete asymptotic nets, Journal of Geometry and Physics 114 (2017), 109-123.

191. I. H. Sloan and H. Woźniakowski, Multivariate approximation for analytic functions with Gaussian kernels, Journal of Complexity 45 (2017), 1-21. 192. J. Stoklosa and D. I. Warton, A generalized estimating equation approach to multivariate adaptive regression splines, Journal of Computational and Graphical Statistics 27 (2017), no. 1, 245-253. 193. F. Sukochev, A. Usachev and D. Zanin, Singular traces and residues of the ζ-function, Indiana University Mathematics Journal 66 (2017), no. 4, 1107-1144. 194. F. Sukochev and A. Veksler, Mean ergodic theorem in symmetric spaces, Comptes Rendus Mathematique 355 (2017), no. 5, 559-562. 195. F. Sukochev and D. Zanin, Fubini theorem in noncommutative geometry, Journal of Functional Analysis 272 (2017), no. 3, 111111.

184. T. Senserrick, S. Boufous, J. Olivier and J. Hatfield, “Evaluation of Queensland’s graduated licensing system,” vol. Final Report, Transport and Road Safety Research Centre, UNSW, Sydney, 2017.

196. F. Sukochev and D. Zanin, Connes integration formula for the noncommutative plane, Communications in Mathematical Physics 359 (2017), no. 2, 449-466.

185. S. Shafie and T. Tran, A posteriori error estimation of H1 mixed finite element method for the Benjamin-Bona-Mahony equation, AIP Conference Proceedings, AIP Publishing, 2017, pp. 050011.

197. C. Thai Doan, Finding robust global optimal values of bilevel polynomial programs with uncertain linear constraints, Journal of Optimization Theory and Applications 173 (2017), no. 2, 683-703.

186. I. D. Shkredov and I. E. Shparlinski, On some multiple character sums, Mathematika 63 (2017), no. 2, 553560.

198. C. Thai Doan, Robust alternative theorem for linear inequalities with applications to robust multiobjective optimization, Operations Research Letters 45 (2017), no. 6, 575-580.

187. I. E. Shparlinski, On the convex hull of the points on multivariate modular hyperbolas, Journal of Number Theory 171 (2017), 71-78. 188. I. E. Shparlinski, Multiplicative orders in orbits of polynomials over finite fields, Glasgow Mathematical Journal 60 (2017), no. 2, 487-493. 189. I. E. Shparlinski and A. J. Weingartner, An explicit polynomial analogue of Romanoff’s theorem, Finite Fields and their Applications 44 (2017), 22-33. 190.*I. E. Shparlinski and K. H. Yau, Double exponential sums with exponential functions, International Journal of Number Theory 13 (2017), no. 10, 2531-2543.

199. C. Thai Doan, Convergent hierarchy of SDP relaxations for a class of semi-infinite convex polynomial programs and applications, Applied Mathematics and Computation (2017). 200. C. Thai Doan and Jeyakumar, Convergent conic linear programming relaxations for cone convex polynomial programs, Operations Research Letters 45 (2017), no. 3, 220-226. 201. Y. H. Ting and M. Holzer, Decadal changes in Southern Ocean ventilation inferred from deconvolutions of repeat hydrographies, Geophysical Research Letters 44 (2017), no. 11, 5655-5664.

202. C. C. Tisdell, Improved pedagogy for linear differential equations by reconsidering how we measure the size of solutions, International Journal of Mathematical Education in Science and Technology 48 (2017), no. 7, 1087-1095. 203. C. C. Tisdell, Rethinking pedagogy for second-order differential equations: A simplified approach to understanding well-posed problems, International Journal of Mathematical Education in Science and Technology 48 (2017), no. 5, 794-801. 204. C. C. Tisdell, Critical perspectives of pedagogical approaches to reversing the order of integration in double integrals, International Journal of Mathematical Education in Science and Technology 48 (2017), no. 8, 1285-1292. 205. C. C. Tisdell, How do Australasian students engage with instructional YouTube videos? An engineering mathematics case study, Australasian Association for Engineering Education (AAEE) Annual Conference, 2017, pp. 206. C. C. Tisdell, On models of openness in education, International Mobile Learning Festival 2017, 2017, pp. 206-212. 207. C. C. Tisdell, A discrete approach to continuous second-order boundary value problems via monotone iterative techniques, International Journal of Difference Equations 12 (2017), no. 1, 145-160. 208. C. C. Tisdell, Fostering employability skills through the t-shaped student in science, mathematics and medical science, The Australian Conference on Science and Mathematics Education, 2017, pp. 232-238. 209. C. C. Tisdell, Z. Liu and S. macnamara, Basic existence and uniqueness results for solutions to systems of nonlinear fractional differential equations, Dynamics of Continuous, Discrete and Impulsive Systems - Series A: Mathematical Analysis 24 (2017), no. 3, 181-193. 210. C. C. Tisdell and S. Meagher, A simplified approach to Gronwall’s inequality on time scales with applications to new bounds for solutions to linear dynamic equations, Electronic Journal of Differential Equations 2017 (2017), no. 263, 1-13.

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211. C. C. Tisdell, Q. Sheng and J. Henderson, Constructive existence results for solutions to systems of boundary value problems via general Lyapunov methods, Differential Equations and Applications 9 (2017), no. 1, 57-68. 212. N. H. Tuan, V. A. Khoa, M. N. Minh and T. Tran, Reconstruction of the electric field of the helmholtz equation in three dimensions, Journal of Computational and Applied Mathematics 309 (2017), 56-78. 213. A. Unnikrishnan, E. Papaemmanuil, D. Beck, N. P. Deshpande, A. Verma, A. Kumari, P. S. Woll, L. A. Richards, K. Knezevic, V. Chandrakanthan, J. A. I. Thoms, M. L. Tursky, Y. Huang, Z. Ali, J. Olivier, S. Galbraith, A. G. Kulasekararaj, M. Tobiasson, M. Karimi, A. Pellagatti, S. R. Wilson, R. Lindeman, B. Young, R. Ramakrishna, C. Arthur, R. Stark, P. Crispin, J. Curnow, P. Warburton, F. Roncolato, J. Boultwood, K. Lynch, S. E. W. Jacobsen, G. J. Mufti, E. Hellstrom-Lindberg, M. R. Wilkins, K. L. MacKenzie, J. W. H. Wong, P. J. Campbell and J. E. Pimanda, Integrative genomics identifies the molecular basis of resistance to azacitidine therapy in myelodysplastic syndromes, Cell Reports 20 (2017), no. 3, 572-585. 214. J. C. Walsh, C. N. Angstmann, I. G. Duggin and P. M. G. Curmi, Non-linear Min protein interactions generate harmonics that signal midcell division in Escherichia coli, PLoS ONE 12 (2017), no. 10. 215. S. R. Walter, M. Z. Raban, W. T. M. Dunsmuir, H. E. Douglas and J. I. Westbrook, Emergency doctors’ strategies to manage competing workload demands in an interruptive environment: An observational workflow time study, Applied Ergonomics 58 (2017), 454-460. 216. L. Wang, R. J. R. Abel, D. Deng and J. Wang, Existence of incomplete canonical Kirkman packing designs, Discrete Mathematics 341 (2017), no. 2, 536-554.

219. D. I. Warton, J. Stoklosa, G. GuilleraArroita, D. I. MacKenzie and A. H. Welsh, Graphical diagnostics for occupancy models with imperfect detection, Methods in Ecology and Evolution 8 (2017), no. 4, 408-419. 220. D. I. Warton, L. Thibaut and Y. A. Wang, The PIT-trap — a “model-free” bootstrap procedure for inference about regression models with discrete, multivariate responses, PLoS ONE 12 (2017), no. 7. 221. A. R. Weeks, D. Heinze, L. Perrin, J. Stoklosa, A. A. Hoffmann, A. Van Rooyen, T. Kelly and I. Mansergh, Genetic rescue increases fitness and aids rapid recovery of an endangered marsupial population, Nature Communications 8 (2017), no. 1. 222. N. J. Wildberger, Rotor coordinates and vector trigonometry, Journal for Geometry and Graphics 21 (2017), no. 1, 89-106. 223. L. R. Wyatt, A. Mantovanelli, M. L. Heron, M. Roughan and C. R. Steinberg, Assessment of surface currents measured with highfrequency phased-array radars in two regions of complex circulation, IEEE Journal of Oceanic Engineering 43 (2017), no. 2, 484-505. 224. J. Xu, K. F. Lam, F. Chen, P. Milligan and Y. B. Cheung, Semiparametric estimation of time-varying intervention effects using recurrent event data, Statistics in Medicine 36 (2017), no. 17, 2682-2696. 225. W. Zhu and Y. Fan, A novel approach for Markov random field with intractable normalizing constant on large lattices, Journal of Computational and Graphical Statistics 27 (2017), no. 1, 59-70. 226. Y. Zhu, Q. T. Le Gia, M. K. Juhl, G. Coletti and Z. Hameiri, Application of the Newton–Raphson method to lifetime spectroscopy for extraction of defect parameters, IEEE Journal of Photovoltaics (2017), 0-0.

217. D. I. Warton, Why you cannot transform your way out of trouble for small counts, Biometrics 74 (2017), no. 1, 362-368. 218. D. I. Warton and F. K. C. Hui, The central role of mean-variance relationships in the analysis of multivariate abundance data: A response to Roberts (2017), Methods in Ecology and Evolution 8 (2017), no. 11, 1408-1414.

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Staff of the School of Mathematics and Statistics Academic and Research Staff Dr Akand, Elma Dr Angell, David Dr Angstmann, Christopher Dr Atnip, Jason Dr Austin, Timothy Dr Barker, Paul Dr Beranger, Boris Dr Botev, Zdravko Dr Britz, Thomas Dr Brothier, Arnaud Dr Cai, Anna Dr Capel, Joshua Dr Cetina-Heredia, Paulina A/Prof Chan, Daniel Head of Pure Mathematics Dr Chan, Leung Dr Chen, Changhao Dr Chen, Feng Dr Combe, Diana A/Prof Coster, Adelle Prof Cowling, Michael Dr de Lavergne, Casimir A/Prof Dick, Josef Head of Applied Mathematics A/Prof Doust, Ian Prof Du, Jie Prof Dunsmuir, William Dr Fan, Yanan Dr Fan, Xuhui Prof Franklin, James Prof Froyland, Gary Dr Gardiner, Sean Dr Geenens, Gery A/Prof Greenhill, Catherine Dr Groeskamp, Sjoerd Dr Grossman, Pinhas Dr Harvey, David Dr Hemming, Michael Prof Henry, Bruce Head of School Dr Holmes, Ryan A/Prof Holzer, Mark Prof Jeyakumar, Vaithilingam Dr Kaarnioja, Vesa Dr Keating, Shane

Dr Kerr, Bryce Dr Kerry, Colette A/Prof Kress, Jonathan A/Prof Kuo, Frances Dr Lafaye de Micheaux, Pierre Dr Le Gia, Quoc Dr Levitina, Galina Dr Li, Yuehua Veronica Dr Li, Libo A/Prof Li, Guoyin Dr Liebenau, Anita Dr Mak, Chi Dr Malan, Neil Dr Mansfield, Daniel Sci. Prof McDougall, Trevor A/Prof McLean, William Dr Milburn, Stuart Dr Morison, Russel Dr Mukherjee, Debopriya Prof Murray, John A/Prof Olivier, Jake Dr Ostafe, Alina Dr Ottazzi, Alessandro Dr Pahor, Milan A/Prof Penev, Spiridon Dr Pope, Alun Dr Popovic, Gordana Dr Potapov, Denis Prof Roberts, John Deputy Head of School Dr Roshchina, Vera A/Prof Roughan, Moninya Dr Salopek, Donna Dr Schaeffer, Amandine Prof Schief, Wolfgang Dr Schopieray, Andrew Prof Shparlinski, Igor Prof Sisson, Scott Head of Statistics Prof Sloan, Ian Dr Steele, John Dr Stoklosa, Jakub Dr Straka, Peter Prof Sukochev, Fedor

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Dr Szereszewski, Adam Dr Thai Doan, Chuong Dr Thibaut, Loic Prof Tisdell, Christopher A/Prof Tran, Thanh Dr Voineagu, Mircea Dr Wang, Yu Guang Prof Warton, David Prof Waugh, Darryn Prof Wildberger, Norman Dr Wu, Wei Dr Zanin, Dmitriy Dr Zhao, Liangyi Dr Zika, Jan

Adjunct and Honorary Staff

Administrative Staff Lugton, Markie Student Administration Officer Magbanua, Gemayne School Office/Project Assistant Scandurra, Suzie School Manager Sedgers, Kaye Executive Assistant to HoS/ Project Officer Syed, Altaf Student Services Manager Waters, Susannah Project Officer

Computing Staff San, Soputtra Technical Laboratory Manager Sedgwick, Kevin Helpdesk Operator *Staffing up-to-date, Oct 2018

Dr Abel, Julian Dr Amini Harandi, Alireza E/Prof Banner, Michael Dr Blennerhassett, Peter Mr Brown, Peter Ms Chen, Qinghua Mr Crocker, David Dr Donovan, Peter Prof Dooley, Anthony Prof Faierman, Melvin Dr Freislich, Mary Ruth Prof Ganesh, Mahadevan Prof Goldys, Ben Dr Golodets, Valentyn Dr Grundling, Hendrik A/Prof Hirschhorn, Mike Prof Hone, Andrew A/Prof Hunt, David A/Prof Kachoyan, Bernard Dr Kozlowski, Walter Dr Monahan, Gregory Dr Peters, Gareth E/Prof Rogers, Colin Prof Shevchenko, Pavel Dr Sholihat, Seli Sitti Dr Tan, Lulin Dr Vollmer, Andreas Prof Wilson, Susan A/Prof Womersley, Robert Dr Xiong, Xiao

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UNSW MATHEMATICS AND STATISTICS REPORT 2015-2017â&#x20AC;&#x201D; APPENDIX

Can you solve these problems from Parabola?

1. We are allowed to remove any three dots from the 34 dots above, provided that one of them is exactly midway between the other two (the three dots may form a line in any directionâ&#x20AC;&#x201C;horizontal, vertical, diagonal or oblique); then to remove another three dots under the same condition; and so on. If we remove 33 dots, then which are the possibilities for the remaining dot? 2. Erica is playing a game in which she rolls a (normal, sixâ&#x20AC;&#x201C;sided) die three times, and wins if her three rolls are all different and in increasing order. For example, 1, 4, 5 wins, but 4, 1, 5 loses, and so does 4, 5, 5. In the middle of the game Erica calls you on the phone and tells you that her second roll was bigger than her first. If the game continues, then what is Ericaâ&#x20AC;&#x2122;s chance of winning? 3. The diagram shows a circle with two inscribed semicircles; the semicircles are tangent to each other, and their diameters are parallel.

Show that the area of the semicircles is half the area of the circumscribed circle.

For more problems, visit: www.parabola.unsw.edu.au