Conference Timetable Summary Monday Tuesday Wednesday Thursday Friday 8:00 8:30 Registration 9:00 South 1 Opening Ceremony Plenary talk Plenary talk Plenary talk 9:30 Lectures by Joshi Ulcigrai Giga 10:00 Prize Winners South 1 Coffee Break Coffee Break Coffee Break 10:30 Coffee Break Plenary talk Plenary talk Plenary talk 11:00 Plenary talk an Huef Steinberg Norbury 11:30 Krieger South 1 Plenary talk Plenary talk 12:00 Debate Trudgian Samotij 12:30 Lunch 13:00 Lunch Lunch Lunch 13:30 Plenary talk 14:00 Sikora Special Sessions Special Sessions Special Sessions 14:30 Education Special Afternoon Sessions 15:00 Coffee Break Coffee Break Coffee Break Coffee Break 15:30 Plenary talk Education Rylands 16:00 Afternoon Special Sessions Special 16:30 Sessions AustMS AGM Special Sessions 17:00 17:30 18:00 18:30 Welcome WIMSIG Reception 19:00 Dinner Conference Dinner Cinque Lire Cafe 19:30 Campus Centre MCG 20:00 1 Contents Foreword 4 Conference Sponsors 5 Conference Program 6 Education Afternoon 7 Session 1: Plenary Lectures 8 Special Sessions 2. Algebra 9 3. Applied and Industrial Mathematics 10 4. Category Theory 11 5. Combinatorics and Graph Theory 12 6. Computational Mathematics 14 7. Dynamical Systems and Ergodic Theory 15 8. Financial mathematics 16 9. Functional Analysis, Operator Algebra, Non-commutative Geometry 17 10. Geometric Analysis and Partial Differential Equations 18 11. Geometry including Differential Geometry 20 12. Harmonic and Semiclassical Analysis 21 13. Inclusivity, diversity, and equity in mathematics 22 14. Mathematical Biology 23 15. Mathematics Education 24 16. Mathematical Physics, Statistical Mechanics and Integrable systems 25 17. Number Theory and Algebraic Geometry 27 18. Optimisation 28 19. Probability Theory and Stochastic Processes 30 20. Representation Theory 32 21. Topology 33 Conference Timetable 1 Tue 3 December 2019 35 Wed 4 December 2019 39 Thu 5 December 2019 47 Fri 6 December 2019 50 List of Registrants 54 Plenary Abstracts 61 Special Session Abstracts 61 2. Algebra 65 3. Applied and Industrial Mathematics 69 4. Category Theory 71 5. Combinatorics and Graph Theory 73 6. Computational Mathematics 79 7. Dynamical Systems and Ergodic Theory 83 8. Financial mathematics 86 9. Functional Analysis, Operator Algebra, Non-commutative Geometry 89 10. Geometric Analysis and Partial Differential Equations 91 11. Geometry including Differential Geometry 95 12. Harmonic and Semiclassical Analysis 98 13. Inclusivity, diversity, and equity in mathematics 100 14. Mathematical Biology 103 15. Mathematics Education 107 16. Mathematical Physics, Statistical Mechanics and Integrable systems 110 17. Number Theory and Algebraic Geometry 115 18. Optimisation 118 19. Probability Theory and Stochastic Processes 122 20. Representation Theory 127 21. Topology 129 Index of Speakers 133 3 Foreword Welcome to Monash University’s Clayton Campus for the 63rd Annual Meeting of the Australian Mathe- matical Society. It is very exciting to see so many academics and graduate students coming together from around Australia and 26 other countries to exchange ideas and to celebrate mathematics. This year we have a few innovations, including plenary lectures focussing on education and on equity and diversity. We also, for the first time, have a special session on Inclusivity, diversity, and equity in mathemat- ics. Another innovation this year is bush dancing at the conference dinner on Thursday night – make sure you wear your dancing shoes! An event of this scale does not happen without a lot of people pitching in. I would particularly like to thank all the people listed below for all their assistance in making this event happen. Finally, I wish you a productive and enjoyable week at Monash, Prof Ian Wanless Conference Director Program Committee Ben Burton (UQ) Alan Carey (ANU) Michael Coons (Newcastle) Alice Devillers (UWA) Vlad Ejov (Flinders) Roozbeh Hazrat (WSU) Birgit Loch (Latrobe) Giang Nguyen (Adelaide) Milena Radnovic (Sydney) Vera Roshchina (UNSW) Ian Wanless (Monash) Valentina Wheeler (Wollongong) Local Organising Committee Julie Clutterbuck – Special sessions Gregoire Loeper – Treasurer Angelika Nikolov-Arvela – Secretary Jessica Purcell – WIMSIG dinner Daniel Mathews – Childcare Daniel Horsley – Debate Mark Flegg – This document Deborah Jackson – Nametags John Chan, Jerome Droniou, Jeremy Hague – Website John Banks – Registration system Gertrude Nayak Anna Haley Greg Markowsky 4 Conference Sponsors Special thanks also to Prof Kate Smith-Miles through the Georgina Sweet Award component of her ARC Australian Laureate Fellowship, for sponsoring the Women in Mathematics dinner. 5 Conference Program Overview of the Academic Program There are 305 talks, including 11 plenary lectures and 20 special sessions. The Education Afternoon on Tuesday comprises talks of interest to all mathematical educators. B Conference Timetable – page 1 Tue 3 December 2019 – page 35 Wed 4 December 2019 – page 39 Thu 5 December 2019 – page 47 Fri 6 December 2019 – page 50 Plenary Lecturers Yoshikazu Giga (University of Tokyo) Astrid an Huef (Victoria University of Wellington) – Hanna Neumann Lecturer Nalini Joshi (University of Sydney) – ANZIAM Lecturer Holly Krieger (Cambridge) – Mahler Lecturer Paul Norbury (University of Melbourne) Leanne Rylands (Western Sydney University) Wojciech Samotij (Tel Aviv University) – ECR Lecturer Joanna Sikora (ANU) Benjamin Steinberg (City University of New York) Tim Trudgian (UNSW Canberra) Corinna Ulcigrai (University of Zurich) B Timetable of Plenary Lectures – page 8 Special Sessions 1. Plenary – page 62 2. Algebra – page 65 3. Applied and Industrial Mathematics – page 69 4. Category Theory – page 71 5. Combinatorics and Graph Theory – page 73 6. Computational Mathematics – page 79 7. Dynamical Systems and Ergodic Theory – page 83 8. Financial mathematics – page 86 9. Functional Analysis, Operator Algebra, Non-commutative Geometry – page 89 10. Geometric Analysis and Partial Differential Equations – page 91 11. Geometry including Differential Geometry – page 95 12. Harmonic and Semiclassical Analysis – page 98 13. Inclusivity, diversity, and equity in mathematics – page 100 14. Mathematical Biology – page 103 15. Mathematics Education – page 107 16. Mathematical Physics, Statistical Mechanics and Integrable systems – page 110 17. Number Theory and Algebraic Geometry – page 115 18. Optimisation – page 118 19. Probability Theory and Stochastic Processes – page 122 20. Representation Theory – page 127 21. Topology – page 129 6 Conference Program Education Afternoon (Tues in G03) 2:20pm Julia Collins and Katherine Seaton: Knitting and Folding Mathematics Mathematical thinking is not confined to mathematicians, but one place you may not expect to find it is in the world of crafts. Even the most maths-anxious knitters will display an astonish- ing familiarity with concepts from geometry, topology, number theory and coding, while modern origami artists are turning to mathematical algorithms to create models previously thought to be unfoldable. This talk will highlight a number of surprising connections between maths and craft, and will be followed by a hands-on session facilitated by Maths Craft Australia where people can create some mathematical craft for themselves. (Knitting/crochet needles and origami paper will be provided, but participants are also encouraged to bring their own! Knitting in the audience is strictly encouraged.) 3:10pm Marty Ross: How I teach, why the Mathologer is evil, and other indiscrete thoughts In this shamelessly narcissistic talk I will reveal the One True Secret to teaching mathematics. Along the way I will explain why you can and should ignore STEM, calculators, Mathematica, iPads, the evil Mathologer, constructivism, growth mindset, SOLO, Bloom, flipping classrooms, centering children, lesson plans, skeleton notes, professional standards and professional development and many other modern absurdities. 3:35pm David Treeby: How to Instil Mathematical Culture in Secondary Education Over the past few decades, mathematicians have ceded the educational space to two groups: mathematics educators and technology companies. This has had a dire effect on what mathemat- ics is taught and how it is taught. The result is a commodified brand of distorted mathematics. This talk will focus on how some well-resourced schools have resisted these changes, and how broad and equitable change will require the support of working mathematicians and their professional bodies. 4pm Burkard Polster – Mathologer: explaining tricky maths on YouTube In this session I’ll talk about my experience running the YouTube channel Mathologer and I’ll give you a sneak peek of the video that I am currently working on. Social Program 6:15pm for 6:45pm Mon Ï WIMSIG Dinner Campus Centre 6pm Tues Ï Welcome reception Cinque Lire Cafe 6:30pm Thurs Ï Conference Banquet Olympic Room, Melbourne Cricket Ground (MCG) Annual General Meeting of the Society 4pm Thurs Ï AustMS AGM Lecture Theatre G81 (Same venue as most plenaries) Conference Information Desk The registration/information desk will be located outside the venue for the plenary talks (South 1 on Tue Morning, and G81 for the rest of the week). This desk will be staffed before the opening ceremony and each day during morning tea. If you have any issues you can also email [email protected] 7 Plenary Lectures in South 1 [Krieger] or G81 [Others] B Tue 3 December 2019 11:00 Holly Krieger (University of Cambridge) Ï Unlikely intersections in arithmetic and dynamics 13:30 Joanna Sikora