Annual Review 2019 | 2020
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk
CONTENTS Chair’s Report 1 Relationships 3 Research 4 Events 5 Personnel 7 Organisation 9
APPENDICES
R1 Highlighted Papers 11 R2 Complete List of Papers 15 E1 Heilbronn Events 28 E2 Sponsored Events 33 E3 Focused Research Events 43 E4 Future Events 50 P1 Fellows Joining since September 2019 59 P2 Fellows Leaving since September 2019 62 P3 Fellows Moving with Extensions 64 P4 Fellows Joining in October 2020 65 M1 Career Development 68
Chair’s Report
The Heilbronn Institute has, notwithstanding the challenges of the pandemic, enjoyed a remarkable and successful year as a national institute for mathematical research. It is commonly said that mathematicians need only pen, paper, and an internet connection to do their work. The pandemic has put the members of HIMR to the test, and the scientific outcomes have been very strong, achieved sometimes in difficult conditions. The external events and activities of HIMR have continued whenever possible, and the Institute’s mathematical output has been distinguished by its impact and breadth.
This has been a big year for the Heilbronn Institute—our first complete year in an extensive suite of rooms within the newly renovated Fry Building of Bristol University, in cohabitation with the School of Mathematics; a change of leadership on both internal and external work; and then the challenges posed across the UK by the restricted working and living conditions of the COVID‐19 pandemic. Members of the Institute have responded bravely and constructively to the ensuing changes in their environments, and HIMR is strengthened by a deepened feeling of shared commitment to excellence in mathematics.
Our new accommodation in Bristol allows our organizational staff, for the first time, room to breathe. The hospitality of the University and School is gratefully acknowledged in this regard. We hope to be able to welcome all HIMR members on visits to Bristol in the near future.
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The changes in leadership mark a progression for HIMR. Jon Keating’s successful and dynamic tenure as Chair has seen the evolution of its external activities into a mature operation that looks both within, to its Fellows and Students, and outwith, across the entirety of the UK mathematics community. The new Heilbronn Doctoral Partnership has accepted its first intake of 9 students, and our eyes are turning towards other cohorts of mathematicians including those studying at schools and on undergraduate courses. In addition, Daniel Shiu has retired from the Headship of HIMR after four successful years in post.
We are especially concerned with issues around diversity. Our recent successes in hiring women to fellowships and studentships have been substantial, and our efforts will be intensified. The Heilbronn Doctoral Partnership aids our potential to attract women into the academic system who may not otherwise present themselves. While women are under‐ represented in mathematical research, the situation with other under‐represented groups is more extreme, and we will support initiatives across the UK that tend towards increasing diversity in mathematical science.
A major event of our year is the January appointment process. We made 14 appointments this year (including 3 women) to Heilbronn Research Fellowships (HRF). Since September 2019, 9 former Fellows have left HIMR, 8 for academic positions and 1 for industry. Details may be found in Appendix P2.
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Relationships
HIMR works closely with other major UK and international mathematics research institutes and organisations, including the American Institute of Mathematics, the Alan Turing Institute, the Clay Mathematics Institute, the International Centre for Mathematical Sciences, the Isaac Newton Institute, and the London Mathematical Society.
We continue to run workshops with the Alan Turing Institute and to provide support for workshops at the ICMS in Edinburgh and the Isaac Newton Institute in Cambridge.
Last year we entered into partnership with the Clay Mathematics Institute to establish a major new series of Postgraduate Summer Schools. Within this partnership, we provide support for two UK participants on the PROMYS Europe programme for highly gifted pre‐ university mathematicians.
HIMR plays a leading role in the ‘STEM for Britain’ poster competition and exhibition that aims to encourage, support and promote Britain’s early‐career researchers in Mathematics in Parliament and elsewhere.
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Research
One of the primary aims of the Heilbronn Institute is to support the external research of its members by providing a stimulating environment offering opportunities for collaboration and personal development. We attract excellent mathematicians and support them in carrying out excellent research. A natural measure of the Institute’s performance in relation to this goal is the quality of the papers produced by its members.
In October 2020, members of the Institute submitted reports (37 in all) on their external research. They were invited to list papers produced in the twelve‐month period from October 2019, to identify which of these papers they considered their best, giving reasons for their choice, and to list papers appearing in print during this period. The papers identified by members as their best are listed in Appendix R1, and the complete set of papers may be found in Appendix R2.
HIMR’s publications find homes in mathematical journals including many of the highest ranked. Mention is made of two papers, in algebra and dynamical systems respectively, written by current fellows that have appeared recently in Inventiones Mathematicae.
Classified work at HIMR is proving a rich and popular source of high‐quality impact cases for submission to the 2020 Research Excellence Framework. There are about 18 HIMR cases under consideration for 12 UK universities.
COVID‐19 has inspired members of HIMR to harness their science to good cause. They participated in a COVID working group hosted by the Isaac Newton Institute, and contributed to modelling for the Cabinet Office.
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Events
A series of research events is offered throughout the year under the auspices of the Heilbronn Institute. These include the two‐day Annual Conference and several workshops, meetings and working groups. These events are of a high quality, and attract leading mathematicians from around the world. They contribute significantly to the research environment and reputation of the Institute.
The regular Heilbronn Colloquia were a lively source of inspiration and discussion, until their forced postponement from around mid‐March. A series of frequent events in Data Science took place between October 2019 and March 2020, namely 7 seminars and a workshop on hypocoercivity.
Mention is made of the one‐day meeting in February in memory of Elmer Rees, Founding Director of HIMR. Elmer was a leading individual in geometry and topology, who spent much of his career in Oxford and Edinburgh before moving to Bristol. He was greatly respected and loved by those close to him, and his friends enjoyed his company and his unpretentious sense of humour.
Sadly, all events scheduled for mid‐March and later had to be postponed, including Amie Wilkinson’s planned Distinguished Lecture Series.
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HIMR has entered into an agreement with the Clay Mathematics Institute to jointly sponsor a series of Postgraduate Summer Schools. The first of these took place last year in Bristol in the area of computational number theory and this year’s summer school took place online in July, on the topic of integrable probability. The third (on hyperbolic geometry/dynamics) is planned for two weeks in Bristol during June/July 2021.
Our 2020 flagship event was the Annual Conference, which took place remotely from 10–11 September. We were grateful to our eight speakers for their willingness to move their lectures online. Stimulating talks were given by Maria Chudnovsky (Princeton), Adam Harper (Warwick), Özlem Imamoglu (ETH Zurich), Kurt Johansson (KTH Royal Institute of Technology), Ailsa Keating (Cambridge), Hendrik Lenstra (Universiteit Leiden), Ulrike Tillmann (Oxford), and Ronald de Wolf (CWI & Universiteit van Amsterdam). When the questions dried up after Hendrik Lenstra’s closing lecture, he embarked upon his own quiz of the audience.
The Institute is proud to have been able to offer part funding for a large number of significant scientific events held across the UK. Details may be found in Appendix E2.
A distinctive element of HIMR’s research profile is its programme on Focused Research Events, of which we funded 14 during the year. Of these, 3 took place between October 2019 and January 2020 and 11 have been postponed until next year due to the COVID‐19 pandemic restrictions. These events, which are listed in Appendix E3, enable groups of researchers and students to gather and discuss topical problems in mathematics. The competition for funds is fairly fierce and HIMR was able to fund only about one half of the deserving applications that it received this year.
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Personnel
Jon Keating resigned as Chair from 31 July 2020, following his 2019 election to the Sedleian Professorship of Natural Philosophy at Oxford University. He was succeeded on 1 September by the incoming Chair, Geoffrey Grimmett, Professor Emeritus of Mathematical Statistics at Cambridge University. Jon was instrumental in bringing HIMR to Bristol in 2005, and has been a guiding influence in the development of the now mature Institute.
Daniel Shiu retired on 31 March 2020 as Head of HIMR after four years in post, and has been succeeded by Michael Groves. The staff of HIMR wish Daniel and Jon all the very best in their future activities.
The January recruitment round was especially fruitful, with 14 appointments to Heilbronn Research Fellowships: 8 at Bristol (including 2 in Data Science), 3 at Manchester, and 1 each at Imperial, Kings, and University College(s), London. We currently have 3 Fellows in the area of Data Science in Bristol, in line with our strategy to expand in this area. The quality of the candidacy was very high, and the Appointments Committee felt that further worthy appointments could have been made given increased funds and space. Details of current Fellows can be found on the Institute’s website. A list of new Fellows since last September is given in Appendix P1.
There have been three appointments to Heilbronn Chairs within Bristol University: David Ellis (Combinatorics); Anthony Lee and Nick Whiteley (Data Science).
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The Institute is working to secure the supply chain of mathematicians across the UK by supporting PhD students. We have currently 17 excellent students, of whom 9 are women. We are working with 4 Centres for Doctoral Training (2 students at University College London, 1 student in Bristol, 1 student in Lancaster, and 2 students in Cardiff). Within our new Heilbronn Doctoral Partnership, we have this year admitted 7 PhD students at Manchester, Oxford, and Bristol, in addition to 2 match‐funded students.
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Organisation
The Heilbronn Institute is an expanding partnership between UK government and higher education. It has its main premises in Bristol where it began its life in 2005, as well as premises in Manchester and London. The Institute employs Fellows in these and several other universities, and funds PhD studentships more widely. It funds events and focused research activities across the UK. It coordinates research activities that bring some of most outstanding individuals worldwide into the UK for visits.
HIMR is a serious investor in people who are, or will become, active at a high level in aspects of mathematics. Until now it has been funded entirely by the UK government, with a lean management structure and low overhead costs.
The Chair of HIMR is advised on scientific matters by an External Advisory Board that meets once a year in September. The Board members for 2019–2020 are:
. Tim Dokchitser (Bristol) . Richard Jozsa (Cambridge) . Frances Kirwan (Oxford)
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. David Loeffler (Warwick) . Michael Singer (UCL) . Toby Stafford (Manchester) . John Toland (Bath) . Michael Wemyss (Glasgow) . Julia Wolf (Cambridge)
The Associate Chair of HIMR, Tim Burness, is responsible for the management operations within Bristol and he contributes to the mentoring of Fellows across the UK. Mark Kambites in Manchester is the academic lead for the University’s relationship with the Heilbronn Institute. Mark is responsible for the management operations within Manchester and for monitoring Fellows’ research progress and academic career development. Heads of Departments hosting Fellows, Helen Wilson (UCL), Steven Gilmour (King’s College London), David Van Dyk (Imperial College London), and Mike Giles (Oxford) provide good support for the Fellows’ research directions and academic career plans, including the coordination of a dedicated mentoring programme for the Fellows based in their Departments.
The external research programme is supported by an administrative team based in Bristol, which makes outstanding contributions to the successes of the Institute. Staff members are currently:
. Chrystal Cherniwchan and Eleanor Machin, Heilbronn Managers . Francoise Blake, Events Officer . Lowri Jamieson and Chloe Biddle, Events Assistants . Abla Hatherell, Personal Assistant to the Chair
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APPENDIX |R1 Highlighted Papers – 2019/2020
Dyadic Approximation in the Middle‐Third Cantor Set (2020). Demi Allen, Sam Chow, Han Yu. https://arxiv.org/abs/2005.09300
Isoperimetric stability in lattices (2020). Ben Barber, Joshua Erde, Peter Keevash, Alexander Roberts. https://arxiv.org/abs/2007.14457
Overconvergent Hilbert modular forms via perfectoid Hilbert modular varieties (2020). Christopher Birkbeck, Ben Heuer and Chris Williams. https://arxiv.org/abs/1902.03985
Compact Schur‐Weyl duality: real Lie groups and the cyclotomic Brauer algebra (2020). Kieran Calvert. https://arxiv.org/abs/2003.09319
Computing classical modular forms (2020). Jonathan Bober, Alex J. Best, Andrew R. Booker, Edgar Costa, John Cremona, Maarten Derickx, David Lowry‐Duda, Min Lee, David Roe, Andrew V. Sutherland, and John Voight. To appear in Arithmetic Geometry, Number Theory, and Computation in the Springer Series “Simons Symposia”. https://arxiv.org/abs/2002.04717
Rubel’s problem: from Hayman’s list to the Chabauty method. Edward Crane, Gene Kopp. Feature article in the London Mathematical Society newsletter, issue 492 (2021). View pdf
Global methods for the symplectic type of congruences between elliptic curves, provisionally (2020). John Cremona, Nuno Freitas. To appear in Revista Matemática Iberoamericana. https://arxiv.org/abs/1910.12290
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Local and global densities for Weierstrass models of elliptic curves (preprint). John Cremona, Mohammad Sadek, submitted for publication. https://arxiv.org/abs/2003.08454
Exact p‐adic computation in Magma (2020). Christopher Doris, Journal of Symbolic Computation. https://arxiv.org/abs/2008.11063
Anosov flows, growth rates on covers and group extensions of subshifts (2020). Rhiannon Dougall, Richard Shar, Inventiones Mathematicae. https://doi.org/10.1007/s00222‐020‐00994‐3
Automorphic forms for some even unimodular lattices (2020). Neil Dummigan, Dan Fretwell. https://arxiv.org/abs/2003.08703
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Circuit‐Difference Matroids (2020). George Drummond, Tara Fife, Kevin Grace, James Oxley. The Electronic Journal of Combinatorics, 27,3. https://doi.org/10.37236/9314
The spread of a finite group (2020). Timothy Burness, Robert M Guralnick, Scott Harper. https://arxiv.org/abs/2006.01421
Discrete restriction for (x,x3) and related topics (2019). Kevin Hughes, Trevor Wooley. https://arxiv.org/abs/1911.12262
Indefinite zeta functions (2020). Gene Kopp. https://arxiv.org/abs/1912.12364
Moduli of Langlands parameters (2020). Robert Kurinczuk, Jean‐François Dat, David Helm, Gil Moss. https://arxiv.org/abs/2009.06708
On the p‐width of finite simple groups (2020). Alex Malcolm. https://arxiv.org/abs/2003.00755
Flexible circuits in the d‐dimensional rigidity matroid (2020). Georg Grasegger, Hakan Guler, Bill Jackson, Anthony Nixon. https://arxiv.org/abs/2003.06648
Twisting moduli for GL(2), Benjamin Bedert, George Cooper, Thomas Oliver, Pengcheng Zhang. To appear in Journal of Number. https://arxiv.org/abs/2003.02557
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Explicit coverings of families of elliptic surfaces by squares of curves (2020). Colin Ingalls, Adam Logan, Owen Patashnick. https://arxiv.org/abs/2009.07807
Decomposition algebras and axial algebras (2020). Tom De Medts, Simon Peacock, Sergey Shpectorovd, Michiel Van Couwenberghe, Journal of Algebra, 556, 287‐314. https://arxiv.org/abs/1905.03481
Translationally‐invariant universal quantum Hamiltonians in 1D (2020). Tamara Kohler, Stephen Piddock, Johannes Bausch, Toby Cubitt.https://arxiv.org/abs/2003.13753
Weight conjectures for ℓ‐compact groups and spetses (2020). Radha Kessar, Gunter Malle, Jason Semeraro. https://arxiv.org/abs/2008.07213
No additional tournaments are quasirandom‐forcing (2019). Robert Hancock, Adam Kabela, Daniel Kral, Taisa Martins, Roberto Parente, Fiona Skerman, Jan Volec. https://arxiv.org/abs/1912.04243
Face Posets of Tropical Polyhedra and Monomial Ideals (2019). Georg Loho, Ben Smith. https://arxiv.org/abs/1909.01236
Local and global applications of the Minimal Model Program for co‐rank one foliations on threefolds (2019), Calum Spicer, Roberto Svaldi. https://arxiv.org/abs/1908.05037
On the regular power structure of p‐groups and applications (2020). James Williams. https://arxiv.org/abs/2004.04610
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APPENDIX |R2 Complete List of Papers – 2019/2020
Diophantine Approximation on Fractals: Hausdorff Measures of Shrinking Targets on Self‐ Conformal Sets (2019). Demi Allen, Balázs Bárány. https://arxiv.org/abs/1911.03410
Dyadic Approximation in the Middle‐Third Cantor Set (2020). Demi Allen, Sam Chow, Han Yu. https://arxiv.org/abs/2005.09300
Guiding Principles for Unlocking the Workforce: What Can Mathematics Tell Us? (2020). Demi Allen, Edward Crane, Christopher Doris, David Abrahams et al., working paper from ICMS/VKEMS Virtual Study Group: Mathematical Principles for Unlocking the Workforce. https://tinyurl.com/y2mdko5z
Isoperimetric stability in lattices (2020). Ben Barber, Joshua Erde, Peter Keevash and Alexander Roberts. https://arxiv.org/abs/2007.14457
Minimalist designs (2020). Ben Barber, Stefan Glock, Daniela Kühn, Alan Lo, Richard Montgomery, Deryk Osthus. Random Structures and Algorithms, 57, 47– 63. https://doi.org/10.1002/rsa.20915
Overconvergent Hilbert modular forms via perfectoid Hilbert modular varieties (2020). Christopher Birkbeck, Ben Heuer, Chris Williams. https://arxiv.org/abs/1902.03985
On the p‐adic Langlands correspondence for algebraic tori (2020). Chris Birkbeck, Journal de Théorie des Nombres de Bordeaux, 32, 1, 133‐158. https://arxiv.org/abs/1811.04819
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2‐adic slopes of Hilbert modular forms over ℚ (√5) (2020). Chris Birkbeck, Bulletin of the. London Mathemathical Society, 52, 4, 716‐729. https://doi.org/10.1112/blms.12361
Local simple connectedness of boundaries of hyperbolic groups (2020). Benjamin Barrett. https://arxiv.org/abs/2004.11650
Compact Schur‐Weyl duality: real Lie groups and the cyclotomic Brauer algebra (2020). Kieran Calvert. https://arxiv.org/abs/2003.09319
Compact Schur‐Weyl duality and the affine type B/C Brauer algebras (2020). Kieran Calvert. https://arxiv.org/abs/1909.11428
Computing classical modular forms (2020). Jonathan Bober, Alex J. Best, Andrew R. Booker, Edgar Costa, John Cremona, Maarten Derickx, David Lowry‐Duda, Min Lee, David Roe, Andrew V. Sutherland, and John Voight. To appear Arithmetic Geometry, Number Theory, and Computation in the Springer Series “Simons Symposia”. https://arxiv.org/abs/2002.04717
Rubel’s problem: from Hayman’s list to the Chabauty method. Edward Crane, Gene Kopp. Feature article in the London Mathematical Society newsletter, issue 492 (2021). View pdf
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Well‐posedness of the mean field forest fire age evolution equation (2020). Edward Crane. https://arxiv.org/abs/2007.05807
Unlocking Higher Education Spaces – What Might Mathematics Tell Us? (2020). Edward Crane, David Abraham, et.al., Virtual Forum for Knowledge Exchange in the Mathematical Sciences (V‐KEMS). https://tinyurl.com/yyhyxwwl
Global methods for the symplectic type of congruences between elliptic curves, provisionally (2020). John Cremona, Nuno Freitas. To appear in Revista Matemática Iberoamericana. https://arxiv.org/abs/1910.12290
Local and global densities for Weierstrass models of elliptic curves (preprint). John Cremona, Mohammad Sadek, submitted for publication. https://arxiv.org/abs/2003.08454
Sorting and labelling integral ideals in a number field (2020). John Cremona, Aurel Page, Andrew V Sutherland. https://arxiv.org/abs/2005.09491
The proportion of genus one curves over ℚ defined by a binary quartic that everywhere locally have a point, Manjul Bhargava, John Cremona and Tom Fisher. To appear in International Journal of Number Theory. https://arxiv.org/abs/2004.12085
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ℚ ‐curves over odd degree number fields, submitted for publication (preprint). John Cremona, Filip Najman. https://arxiv.org/abs/2004.10054
Exact p‐adic computation in Magma (2020). Christopher Doris, Journal of Symbolic Computation. https://arxiv.org/abs/2008.11063
Computing the Galois group of a polynomial over a p‐adic field (2020). Christopher Doris. International Journal of Number Theory, 16, 08, 1767‐1801. https://arxiv.org/abs/2003.05834
Machine learning for protein folding (2019). Stephanie Seiermann, Christopher Doris, Misa Ogura, Amit Kumar Jaiswal, Sydney Vertigan, Qingfen Yu. Data Study Group Network. Final Report: Woolfson Laboratory. Output of the Alan Turing Institute Data Study Group (non‐ journal). http://doi.org/10.5281/zenodo.3877119
Anosov flows, growth rates on covers and group extensions of subshifts (2020). Rhiannon Dougall, Richard Shar, Inventiones Mathematicae. https://doi.org/10.1007/s00222‐020‐00994‐3
Automorphic forms for some even unimodular lattices (2020). Neil Dummigan, Dan Fretwell. https://arxiv.org/abs/2003.08703
Practical quantum computing: The value of local quantum computation (2020). James Cruise, Neil Gillespie, Brendan Reid. https://arxiv.org/abs/2009.08513
On the Highly Connected Dyadic, Near‐Regular, and Sixth‐Root‐of‐Unity Matroids (2020). Ben Clark, Kevin Grace, James Oxley, Stefan H.M. van Zwam. https://arxiv.org/abs/1903.04910
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On Density‐Critical Matroids (2020). Rutger Campbell, Kevin Grace, James Oxley, Geoff Whittle. The Electronic Journal of Combinatorics, 27, 2. http://doi.org/10.37236/8584
Circuit‐Difference Matroids (2020). George Drummond, Tara Fife, Kevin Grace, James Oxley, The Electronic Journal of Combinatorics, 27,3. https://doi.org/10.37236/9314
The Templates for Some Classes of Quaternary Matroids, Kevin Grace. To appear in Journal of Combinatorial Theory, Series B. https://arxiv.org/abs/1902.07136
Shintani descent, simple groups and spread (2020). Scott Harper. https://arxiv.org/abs/2008.02558
The spread of a finite group (2020). Timothy Burness, Robert M Guralnick, Scott Harper. https://arxiv.org/abs/2006.01421
The spread of almost simple classical groups (2020). Scott Harper. https://arxiv.org/abs/2004.11060
Connectivity of generating graphs of nilpotent groups, Scott Harper, Andrea Lucchini. To appear in Algebraic Combinatorics. https://arxiv.org/abs/2002.03330
Finite groups, 2‐generation and the uniform domination number, Timothy Burness, Scott Harper. To appear in Israel Journal of Mathematics. https://arxiv.org/abs/1810.12076
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Infinite 3/2‐generated groups, Case Donoven, Scott Harper. To appear in Bulletin of the London Mathematical Society. https://arxiv.org/abs/1907.05498
Permutations with orders coprime to a given integer (2020). John Bamberg, Stephen Glasby, Scott Harper, Cheryl E, Praeger. The Electronic Journal of Combinatorics, 27, 1. https://doi.org/10.37236/8678
Discrete restriction for (x,x3) and related topics (2019). Kevin Hughes, Trevor Wooley. https://arxiv.org/abs/1911.12262
Supercritical discrete restriction estimates for forms in many variables (2020). Brian Cook, Kevin Hughes and Eyvindur Palsson. https://arxiv.org/abs/2004.02301
Bounds for lacunary maximal functions given by Birch‐‐Magyar averages. Brian Cook, Kevin Hughes. To appear in Transactions of the AMS. https://arxiv.org/abs/1905.09189
ℓp‐improving for discrete spherical averages. Kevin Hughes. To appear in Annales Henri Lebesgue. https://arxiv.org/abs/1804.09260
Higher congruences between newforms and Eisenstein series of squarefree level (2019). Catherine Hsu, Journal de Théorie des Nombres de Bordeaux, 31, 2. https://arxiv.org/abs/1706.05589
Moduli Spaces of Unstable Objects: Sheaves of Harder‐Narasimhan Length 2. Joshua Jackson. To be submitted to the arXiv.
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Indefinite zeta functions (2020). Gene Kopp. https://arxiv.org/abs/1912.12364
Moduli of Langlands parameters (2020). Robert Kurinczuk, Jean‐François Dat, David Helm, Gil Moss. https://arxiv.org/abs/2009.06708
Endo‐parameters for p‐adic classical groups. Robert Kurinczuk, Daniel Skodlerack, Shaun Stevens. To appear in Inventiones Mathematicae. https://doi.org/10.1007/s00222‐020‐00997‐0
Characterization of the poles of the l‐modular Asai L‐factor. Robert Kurinczuk, Nadir Matringe. To appear in Bulletin de la Société Mathématique de France. https://arxiv.org/abs/1903.02427
A characterization of the relation between two ℓ‐modular correspondences (2020). Robert Kurinczuk, Nadir Matringe, Comptes Rendus Mathématique, 358, 2, 201‐209. https://arxiv.org/abs/1911.12891
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The ℓ‐modular local Langlands correspondence and local factors (2020). Robert Kurinczuk, Nadir Matringe, Journal of the Institute of Mathematics of Jussieu. https://arxiv.org/abs/1805.05888
On the p‐width of finite simple groups (2020). Alex Malcolm. https://arxiv.org/abs/2003.00755
Miyamoto groups of code algebras generated by small idempotents, Alonso Castillo‐ Ramirez, Justin McInroy. To appear in Journal of Pure and Applied Algebra. https://arxiv.org/abs/2001.08426
3‐generated axial algebras with a minimal Miyamoto group (2020). Justin McInroy. https://arxiv.org/abs/2004.11773
An expansion algorithm for constructing axial algebras (2020). Justin McInroy, Sergey Shpectorov, Journal of Algebra, 550, 379–409. https://arxiv.org/abs/1804.00587
Which graphs are rigid in ℓ ? (2020). Sean Dewar, Derek Kitson, Anthony Nixon. https://arxiv.org/abs/2007.15978
An improved bound for the rigidity of linearly constrained frameworks (2020). Bill Jackson, Anthony Nixon, Shin‐Ichi Tanigawa. https://arxiv.org/abs/2005.11051
Flexible circuits in the d‐dimensional rigidity matroid (2020). Georg Grasegger, Hakan Guler, Bill Jackson, Anthony Nixon. https://arxiv.org/abs/2003.06648
Assur Decompositions of direction‐length frameworks (2020). Anthony Nixon. https://tinyurl.com/yxzkzmj7
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Rigidity of symmetric frameworks in normed spaces (2020). Derek Kitson, Anthony Nixon, Bernd Schulze, Linear Algebra and its Applications, 607, 231‐285. https://arxiv.org/abs/1808.04484
Pairing symmetries for Euclidean and spherical frameworks (2020). Katie Clinch, Anthony Nixon, Bernd Schulze, Walter Whiteley, Discrete and Computational Geometry, 64, 483‐518. https://doi.org/10.1007/s00454‐020‐00198‐9
Global rigidity of 2D linearly constrained frameworks (2020). Hakan Guler, Bill Jackson, Anthony Nixon. International Mathematics Research Notices. https://doi.org/10.1093/imrn/rnaa157
Rigidity of linearly constrained frameworks (2020). James Cruickshank, Hakan Guler, Bill Jackson, Anthony Nixon, International Mathematics Research Notices, Vol 2020,12, 3824‐ 3840. https://doi.org/10.1093/imrn/rny170
Double‐distance frameworks and mixed sparsity graphs (2020). Anthony Nixon, Stephen Power, Discrete and Computational Geometry, 63:2, 294‐318. https://doi.org/10.1007/s00454‐019‐00164‐0
Rigidity of linearly constrained frameworks, James Cruickshank, Hakan Guler, Bill Jackson, Anthony Nixon. To appear as a chapter in the proceedings of the Cologne‐Twente Workshop on Graphs and Combinatorial Optimization. https://arxiv.org/abs/1804.00411
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Twisting moduli for GL(2), Benjamin Bedert, George Cooper, Thomas Oliver, Pengcheng Zhang. To appear in Journal of Number. https://arxiv.org/abs/2003.02557
Character expansion of Kac‐Moody correction factors (2020). Kyu‐Hwang Lee, Dongwen Liu, Thomas Oliver. https://arxiv.org/abs/1911.09770
Weil’s converse theorem for Maass forms and cancellation of zeros. Michael Neururer, Thomas Oliver. To appear in Acta Arithemetica. https://arxiv.org/abs/1809.06586
Explicit coverings of families of elliptic surfaces by squares of curves (2020). Colin Ingalls, Adam Logan, Owen Patashnick. https://arxiv.org/abs/2009.07807
Decomposition algebras and axial algebras (2020). Tom De Medts, Simon Peacock, Sergey Shpectorovd, Michiel Van Couwenberghe, Journal of Algebra, 556, 287‐314. https://arxiv.org/abs/1905.03481
Quantum walk search algorithms and effective resistance (2019). Stephen Piddock. https://arxiv.org/abs/1912.04196
Universal translationally‐invariant Hamiltonians (2020). Stephen Piddock, Johannes Bausch. https://arxiv.org/abs/2001.08050
Translationally‐invariant universal quantum Hamiltonians in 1D (2020). Tamara Kohler, Stephen Piddock, Johannes Bausch, Toby Cubitt. https://arxiv.org/abs/2003.13753
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|24
Sign‐curing local Hamiltonians: termwise versus global stoquasticity and the use of Clifford transformations (2020). Marios Ioannou, Stephen Piddock, Milad Marvian, Joel Klassen, Barbara M. Terhal. https://arxiv.org/abs/2007.11964
Hardness and ease of curing the sign problem for two‐local qubit Hamiltonians, Joel Klassen, Milad Marvian, Stephen Piddock, Marios Ioannou, Itay Hen, Barbara Terhal. To appear in SIAM Journal of computing. https://arxiv.org/abs/1906.08800
Universal qudit Hamiltonians, Stephen Piddock, Ashley Montanaro. To appear in Communications in Mathematical Physics. https://arxiv.org/abs/1802.07130
Oracle complexity classes and local measurements on physical Hamiltonians (2020). Sevag Gharibian, Stephen Piddock, Justin Yirka, in proceedings of 37th International Symposium on Theoretical Aspects of Computer Science (STACS 2020). http://doi.org/10.4230/LIPIcs.STACS.2020.20
Weight conjectures for ℓ‐compact groups and spetses (2020). Radha Kessar, Gunter Malle, Jason Semeraro. https://arxiv.org/abs/2008.07213
A 2‐compact group as a spets. Jason Semeraro. To appear in Experimental Mathematics. https://arxiv.org/abs/1906.00898
Algorithms for fusion systems with applications to p‐groups of small order. Chris Parker, Jason Semeraro. To appear in AMS Journal of Mathematics of Computation. https://arxiv.org/abs/2003.01600
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|25
No additional tournaments are quasirandom‐forcing (2019). Robert Hancock, Adam Kabela, Daniel Kral, Taisa Martins, Roberto Parente, Fiona Skerman, Jan Volec. https://arxiv.org/abs/1912.04243
Modularity of Erdős‐Rényi random graphs (2020). Colin McDiarmid, Fiona Skerman, Random Structures & Algorithms, 57 1,211‐243. https://arxiv.org/abs/1808.02243
Random tree recursions: which fixed points correspond to tangible sets of trees? (2020). Tobias Johnson, Moumanti Podder, Fiona Skerman, Random Structures & Algorithms, 56 3, 796‐837. https://arxiv.org/abs/1808.03019
The parameterised complexity of computing the maximum modularity of a graph (2019). Kitty Meeks, Fiona Skerman, Algorithmica, 82, 174–2199. https://doi.org/10.1007/s00453‐019‐00649‐7
Face posets of tropical polyhedra and monomial ideals (2019). Georg Loho, Ben Smith. https://arxiv.org/abs/1909.01236
Matching fields and lattice points of simplices (2020). Georg Loho, Ben Smith, Advances in Mathematics, 370. https://arxiv.org/abs/1804.01595
Higher dimensional foliated Mori theory. Calum Spicer. To appear in Compositio Mathematica. https://arxiv.org/abs/1709.06850
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|26
Local and global applications of the Minimal Model Program for co‐rank one foliations on threefolds (2019), Calum Spicer, Roberto Svaldi. https://arxiv.org/abs/1908.05037
A computationally efficient, high‐dimensional multiple changepoint procedure with application to global terrorism incidence. Sam Tickle, Idris Eckley, Paul Fearnhead. In submission at the Journal of the Royal Statistical Society, Series A. https://arxiv.org/abs/2011.03599
Assessing risk in the retail environment during the COVID‐19 pandemic. Chris Budd, Kieran Calvert, Sam Johnson, Sam Tickle. In submission at the proceedings of the Royal Society, Series A. https://arxiv.org/abs/2011.09277
A construction of the quantum Steenrod squares and their algebraic relations (2020). Nicholas Wilkins, Geometry & Topology 24‐2, 885‐‐970. https://arxiv.org/abs/1805.02438
Quasi‐powerful p‐groups (2019), James Williams. https://arxiv.org/abs/1912.08906
On the regular power structure of p‐groups and applications (2020). James Williams. https://arxiv.org/abs/2004.04610
Powerfully nilpotent Groups of class 2. Gunnar Traustason, James Williams. To appear in the Journal of Experimental Mathematics. https://arxiv.org/abs/1811.00962
Powerfully nilpotent groups of rank 2 or small order (2020). Gunnar Traustason, James Williams, Journal of Group Theory. https://arxiv.org/abs/2002.02694
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|27
APPENDIX E1 Heilbronn Events
12‐13 September 2019 Heilbronn Annual Conference Bristol Speakers | Melody Chan (Brown), Hugo Duminil‐Copin (IHES), 80 participants Emmanuel Kowalski (ETZ Zürich), Holly Krieger (Cambridge), Kannan Soundararajan (Stanford), Leslie Valiant (Harvard), Bianca Viray (Washington), Julia Wolf (Cambridge).
23 October 2019 Data Science Seminar: Using Bagged Posteriors for Robust Bristol Model‐Based Inference 40 participants Speaker: Jonathan Huggins (Harvard).
(In cooperation with the Jean Golding Institute, University of Bristol).
5 December 2019 Data Science Seminar: A Generalisation Bound for Online Bristol Variational Inference 50 participants Speaker: Pierre Alquier, Research Scientist, (Riken AIP, Tokyo)
(In cooperation with the Jean Golding Institute, University of Bristol).
11 December 2019 Data Science Seminar: Exploring Relationships and Predicting Bristol Mechanisms within the Human Phenome 10 participants Speaker: Benjamin Elsworth, Research Fellow in Bioinformatics and Causal Inference (Bristol Medical School)
(In cooperation with the Jean Golding Institute, University of Bristol).
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16 December 2019 Heilbronn Colloquium on the Proof of the Duffin‐Schaeffer Bristol Conjecture 15 participants Speakers: James Maynard (Oxford), Dimitris Koukoulopoulos (Montreal).
28‐31 January 2020 Data Science Seminar: Convex Optimization for Machine Bristol Learning 48 participants Speaker: Eric Moulines (HSE University)
(In cooperation with the Jean Golding Institute, University of Bristol)
5 February 2020 Data Science Seminar: Challenging Predictions in Energy Bristol Forecasting 40 participants Speaker: Jethro Browell (Strathclyde)
(In cooperation with the Jean Golding Institute, University of Bristol)
10 February 2020 Elmer Rees Memorial Meeting Bristol A one‐day conference in Elmer’s memory and to mark his 50 participants contribution to UK Mathematics.
Organiser: Jon Keating (Bristol) Speakers: Robert Allison (Bristol), Victor Buchstaber (Yaroslavl State University), John Ball (Oxford), Angus Macintyre (Queen Mary University of London), John Jones (Warwick), Graeme Segal (Oxford)
26 February 2020 Heilbronn Colloquium: Partition Regular Equations Bristol Speaker: Imre Leader (Cambridge). 30 participants (In cooperation with the School of Mathematics, University of Bristol).
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|29
3‐4 March 2020 Data Science Workshop: (Hypo)coercivity Workshop Bristol Organiser: Christophe Andrieu (Bristol). 20 participants Speakers: Pierre Monmarché (Sorbonne), Martin Grothaus (Bielefeld), Daniel Paulin (Edinburgh), Andreas Eberle (Bonn), Gabriel Stoltz (CERMICS, Ecole des Ponts Paris Tech), Anton Arnold (Wien), Emeric Bouin (Paris‐Dauphine), Angeliki Menegaki (Cambridge).
5 March 2020 Data Science Seminar: Couplings and Monte Carlo Bristol Speaker: Pierre Jacob (Harvard). 12 participants (In cooperation with COMPASS, EPSRC Centre for Doctoral Training in Computational Statistics and Data Science, University of Bristol).
11 March 2020 Data Science Seminar: Unbiased Markov Chain Monte Carlo Bristol with Couplings 40 participants Speaker: Pierre Jacob (Harvard).
(In cooperation with the Jean Golding Institute, University of Bristol).
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|30
13 March 2020 Heilbronn Colloquium Bristol Speaker: Gunnar Carlsson (Stanford). Postponed (In cooperation with the School of Mathematics, University of Bristol).
20 March 2020 Heilbronn Colloquium Bristol Speaker: Burt Totaro (California, Los Angeles). Postponed (In cooperation with the School of Mathematics, University of Bristol).
27 March 2020 Heilbronn Colloquium Bristol Speaker: Gunter Malle (Kaiserslautern). Postponed (In cooperation with the School of Mathematics, University of Bristol).
1 April 2020 Data Science Seminar: Robust Representation Learning Bristol Speaker: Taylan Cemgil (DeepMind, UK) Postponed (In cooperation with the Jean Golding Institute, University of Bristol).
24 April 2020 Heilbronn Colloquium Bristol Speaker: Daniel Wise (McGill). Postponed (In cooperation with the School of Mathematics, University of Bristol).
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|31
11‐13 May 2020 Distinguished Lecture Series Bristol Speaker: Amie Wilkinson (Chicago). Postponed (In cooperation with the School of Mathematics, University of Bristol).
10‐11 September 2020 Heilbronn Annual Conference 2020 Bristol 150 participants Invited speakers: Maria Chudnovsky (Princeton) Online Conference Adam Harper (Warwick) Özlem Imamoglu (ETH Zurich) Kurt Johansson (KTH Royal Institute of Technology) Ailsa Keating (Cambridge) Hendrik Lenstra (Leiden) Ulrike Tillmann (Oxford) Ronald de Wolf (CWI & Universiteit van Amsterdam)
The Annual Conference of the Heilbronn Institute for Mathematical Research is the Institute’s flagship event. Taking place over two days, the conference covered a broad range of discrete mathematics, including algebra, combinatorics, data science, geometry, number theory, probability and quantum information.
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APPENDIX E2 Sponsored Events
The Heilbronn Institute supports mathematics in the UK through a programme of conferences, meetings and workshops.
14‐15 October 2019 The 27th London – Paris Number Theory Meeting Paris Dedicated to the memory of Jean‐Marc Fontaine and 55 participants Jean‐Pierre Wintenberger
Organisers: Olivier Fouquet (Paris Sud) Michael Harris, Marc Hindry (Diderot Paris VII), Matthew Morrow (CNRS), Jacques Tilouine (Paris 13).
6‐8 November 2019 Y‐RANT 2019 | Young Researchers in Algebraic Number Theory Warwick Organisers: Alessandro Arlandini (Warwick), Mattia Sanna 56 participants (Warwick).
Keynote Speakers: Jack Thorne (Cambridge), Lynne Walling (Bristol), Sarah Zerbes (UCL).
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|33
19‐22 November 2019 Topological Methods in Group Representation Theory Leicester Organisers in Leicester: Frank Neumann, Jason Semeraro. 24 participants Speakers: Carles Broto (UAB Barcelona), Natalia Castellana (UAB Barcelona), Ruth Corran (Paris), Jesper Grodal (Copenhagen), Gunter Malle (Kaiserslautern), Nadia Mazza (Lancaster), Jean Michel (Paris 7), Jesper Møller (Copenhagen), Bob Oliver (Paris 13), Chris Parker (Birmingham), Sergei Shpectorov (Birmingham), Markus Szymik (NTNU Trondheim), Antonio Viruel (Malaga).
6 January 2020 – INI Programme | Groups, Representations and Applications: 30 June 2020 New Perspectives (GRA) Cambridge Organisers: Colva Mary Roney‐Dougal (St Andrews), Martin Liebeck (Imperial College London), Kay Magaard (Arizona), Britta Späth (Bergische Universität Wuppertal), Pham Tiep (Rutgers, The State University of New Jersey).
This event was disrupted due to the Covid‐10 outbreak. The programme will resume in 2021.
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6 January 2020 – INI Programme | K‐Theory, Algebraic Cycles and Motivic 30 June 2020 Homotopy Theory Cambridge Organisers: Rob de Jeu (VU Amsterdam), Aravind Asok (USC), Charles Doran (Alberta), Roy Joshua (Ohio State), Marc Levine (Duisburg‐Essen), James D. Lewis (Alberta), Ursula Whitcher (Michigan and AMS)
This event was disrupted due to the Covid‐10 outbreak. The programme will resume in 2021.
30 March 2020 – New Perspectives on SYZ Mirror Symmetry 1st April 2020 Organisers: Hülya Argüz (Versailles‐Paris Saclay), Tom Coates Imperial College (Imperial College London), Mirko Mauri (MPIM, Bonn), Enrica Postponed Mazzon (MPIM, Bonn) Speakers: Sébastien Boucksom (École Polytechnique, Paris), Pierrick Bousseau (ETH, Zürich), Mark Gross (Cambridge), Tamas Hausel (IST Austria), Anne‐Sophie Kaloghiros (Brunel), Alexander Kasprzyk (Nottingham), Johannes Nicaise (Imperial College London), Thomas Prince (Oxford), Konstanze Rietsch (King’s College London), Giulia Saccà (Columbia), Ivan Smith (Cambridge), Dimitri Wyss (EPF, Lausanne), Tony Yue Yu (Paris Sud).
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31 March 2020 MSRI Summer Graduate School | Metric Geometry and Oxford Geometric Analysis Postponed Organisers: Cornelia Drutu (Oxford), Panos Papazoglou (Oxford).
Rescheduled on 5‐16 July 2021
6‐9 April 2020 BMC‐BAMC Meeting | Joint British Mathematical Colloquium/ Glasgow British Applied Mathematics Colloquium Postponed Organiser: Alex Bartel (Glasgow).
Rescheduled on 6‐9 April 2021 (online)
6‐8 April 2020 Quantum Computing Theory in Practice Cambridge Organiser: Steve Brierley (Riverland) 158 participants Keynote Speaker: Barbara Terhal (TU Delft) Invited Speakers: Stefanie Barz (Stuttgart), Simon Benjamin Online Conference (Oxford), Joseph Emerson (Waterloo), Craig Gidney (Google), Mario Szegedy (Alibaba), Kristan Temme (IBM Research)
Talks on Riverlane’s YouTube channel | Link to recorded talks Full report about the conference
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19‐25 April 2020 LMS Research School | Graph Packing Eastbourne Organisers in LSE: Peter Allen, Julia Böttcher and Jozef Skokan Postponed Plenary Speakers: Penny Haxell (Waterloo), Richard Montgomery (Birmingham), Peter Keevash (Oxford).
11 May 2020 LMS Research School | Methods for Random Matrix Theory and Imperial College Applications Postponed Organisers: Igor Krasovsky and Jani Virtanen (Imperial College London). Main Lecturers: Estelle Basor (American Institute of Mathematics), Tamara Grava (Bristol and SISSA), Alexander Its (Indiana–Purdue Indianapolis) Clay Lecturer: Jon Keating (Oxford) Guest lecturer: Diane Holcomb (KTH Royal Institute of Technology) Tutorial assistants: Benjamin Fahs (Imperial College London), György Gehér (Reading), Kasia Kozlowska (Arup and Reading)
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22‐26 June 2020 GAGTA 2020 | Geometric and Asymptotic Group Theory with Edinburgh Applications Postponed Organisers: Laura Ciobanu (Heriot‐Watt), Alan Logan (Heriot‐ Watt), Alexandre Martin (Heriot‐Watt), Tim Riley (Cornell), Alina Vdovina (Newcastle).
Invited speakers: Yago Antolín (Madrid), Tara Brendle (Glasgow), Indira Chatterji (Nice), Victor Chepoi (Marseille), Vincent Delecroix (Bordeaux), Anna Erschler (ENS, Paris), Albert Garreta‐ Fontelles (Bilbao), Anthony Genevois (Paris‐Sud), Meng‐Che "Turbo" Ho (Purdue), David Hume (Oxford), Aditi Kar (Royal Holloway), Olga Kharlampovich (CUNY), Ian Leary (Southampton), Markus Lohrey (Siegen), Alexander Olshanskii (Vanderbilt), Damian Osajda (Wroclaw), Chloé Perin (Hebrew), Tim Riley (Cornell), Jenya Sapir (SUNY Binghamton), Nicholas Touikan (New Brunswick), Reidun Twarok (York), Henry Wilton (Cambridge).
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23 June 2020 GAGTA 2020 | Geometric and Asymptotic Group Theory with Online Conference Applications
GAGTA 2020 was replaced with an online "miniGAGTA". This included "prize questions"; solving a prize question by GAGTA 2021 will be rewarded with a fantastic prize!
Online talks by: Matthew Conder (Cambridge), Katie Vokes (IHES), André Simon (Vanderbilt), Chris Natoli (CUNY), Feyisayo Olukoya (Aberdeen).
8‐10 June 2020 YRM 2020 | Young Researchers in Mathematics Bristol Organiser: Charley Cummings (Bristol) Postponed Speakers: Alex Bartel (Glasgow), Thomas Bloom (Cambridge), Alessandra Caraceni (Oxford), Tom Kempton (Manchester), Diane Maclagan (Warwick), Rachel Newton (Reading), Saul Schleimer (Warwick), Karoline Wiesner (Bristol), Brian Winn (Loughborough).
Rescheduled on 7‐9 June 2021
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5‐11 July 2020 BIGW 2020 | British Inland Graduate Workshop 2020 UCL Organisers: Benjamin Aslan (UCL), Corvin Paul (Imperial College Postponed London), Daniel Platt (Imperial College London).
6‐18 July 2020 Building Bridges | 5th EU/US Summer School on Automorphic Sarajevo Forms and Related Topics (BB5) Postponed Organisers: Samuele Anni (Aix‐Marseille), Jim Brown (Occidental College), Jay Jorgenson (City College of New York), Almasa Odzak (Sarajevo), Lejla Smajlovic (Sarajevo), Lynne Walling (Bristol).
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|40
6‐10 July 2020 GAeL 2020 (Géométrie Algébrique en Liberté) Workshop Loughborough Organisers: Luis José Santana Sánchez (Loughborough), Tiago Postponed Duarte Guerreiro (Loughborough), Tim Grange (Loughborough), Laura Mallinson (Loughborough), Erik Paemurru (Loughborough), Nivedita Viswanathan (Edinburgh).
Rescheduled on 5‐9 July 2021
19‐25 July 2020 ICMS Workshop | Young Researchers in Combinatorics Edinburgh Organisers: Shagnik Das (FU Berlin), Carla Groenland (Oxford), Postponed Jonathan Noel (Warwick), Yanitsa Pehova (Warwick).
Rescheduled on 12‐16 July 2021
20‐24 July 2020 LMS Research School | Point Configurations: Deformations and UCL Rigidity Postponed Organiser: Codina Cotar (UCL) The three main lecture course by: Gero Friesecke (Munich), Douglas Hardin and Edward Saff, (Vanderbilt), Danylo Radchenko (ETH Zurich). Plenary talks by: Keith Ball (Warwick), Henry Cohn (Microsoft Research New England), Sylvia Serfaty (New York).
There will also be an opportunity for the participants to present posters or give short talks on their own research.
21‐23 July 2020 PGTC 2020 | Postgraduate Group Theory Conference Southampton Organisers at Southampton: Matthew Collins, Sam Hughes, Postponed Amina Ladjali, Kevin Li, Vladimir Vankov
Reschedule on 11‐January 2021 (online)
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|41
27‐31 July 2020 CMI‐HIMR Summer School | Integrable Probability Online Event Organisers: Alexei Borodin (MIT) and Ivan Corwin (Columbia) 309 participants Mini Course Lecturers | Hugo Duminil‐Copin (IHÉS), Vadim Gorin (MIT) TBC, Rick Kenyon (Brown), Greta Panova (Southern California), Fabio Toninelli (Lyon 1), Michael Wheeler (Melbourne).
29 July – 2 August 2020 Topology of Random Matrix Fields and Chaotic Systems Bristol Organiser: Jonathan Robbins (Bristol). Postponed
September 2020 The Unity of Mathematics: A Conference in Honour of Cambridge Sir Michael Atiyah Postponed Organisers: José Figueroa‐O’Farrill (Edinburgh, Lead), Laura Schaposnik (Illinois at Chicago), Caroline Series (Warwick and LMS President 2017‐19), Ivan Smith (Cambridge), Paul Sutcliffe (Durham), Henry Wilton (Cambridge).
Rescheduled on 21‐23 September 2021
7‐11 September 2020 In celebration of the 60th Birthday of Bill Crawley‐Boevey Manchester Organisers: Karin Baur (Leeds), Eleonore Faber (Leeds), Henning Postponed Krause (Bielefeld), Mike Prest (Manchester, local organiser), Jan Trlifaj (Prague), Michael Wemyss (Glasgow), Dan Zacharia (Syracuse).
Rescheduled on 6‐10 September 2021. However, 2 online talks have been given.
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APPENDIX E3 Focused Research Workshops
Heilbronn Focused Research Workshops, formed with the aim of facilitating research groups to work on adventurous and challenging mathematical problems.
28 October – Spiking and Collapsing in Large Noise Limits of SDE’s 1st November 2019 Organiser: Joseph Najnudel (Bristol). Bristol Participants: Tristan Benoist (Paul Sabatier, Toulouse III), Cédric 5 participants Bernardin (Nice Sophia‐Antipolis), Raphaël Chetrite (Nice Sophia‐ Antipolis), Reda Chhaibi (Paul Sabatier, Toulouse III).
Report During the first day, the participants have each gave one talk with By: Joseph Najnudel the following titles:
Spiking and collapsing in large noise limits of SDE’s By: Reda Chhaibi, a talk presenting the general topic of the workshop to the audience.
Analytical large deviation and uncertainty relations By: Raphaël Chetrite, presenting some recent development on large deviations of Markov processes.
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Gamma convergence for large deviations problems in interaction diffusion processes By: Cédric Bernardin, presenting a non standard mode of convergence of stochastic processes, adapted to the study of large deviations of slow‐fast systems of interacting diffusions.
Invariant measure of quantum trajectories By: Tristan Benoist, presenting a proof of the uniqueness of the invariant measure for quantum trajectories.
After the talks, we worked on two research projects in preparation. One of the projects is an improved and fully rewritten version of our preprint arXiv:1810.05629, with the same title as the workshop, in collaboration with Clément Pellegrini (Université Paul Sabatier). In this new version, we are improving the structure of the article, and we are adding the study of another example of SDE’s, related to Rabi oscillations of a two‐ level quantum system. We expect to submit the paper to a journal by the end of 2019. We have also progressed on another article in preparation, which generalizes some of the results of the paper discussed above to large noise limits of multidimensional stochastic processes, which are related to indirect measurements of quantum systems with three or more energy levels. We expect to submit this second article at the beginning of 2020. Revised publication on 6 June 2020, Version 3
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16‐18 December 2019 Duffin‐Schaeffer Conjecture Bristol Organiser: Demi Allen (Bristol). 11 participants Participants: Christoph Aistleitner (Graz), Victor Beresnevich (York), Andrew Pollington (National Science Foundation), Alan Haynes (York), Felipe Ramirez (Wesleyan), Faustin Adiceam (Manchester), Sam Chow (Warwick), Dimitris Koukoulopoulos (Montreal), James Maynard (Oxford), Sanju Velani (York).
Report In the summer of 2019, Dimitris Koukoulopoulos and James By: Demi Allen Maynard announced a proof of the Duffin‐Schaeffer Conjecture. Originally posed by Duffin and Schaeffer in 1941, the Duffin‐ Schaeffer Conjecture has been one of the most famous longstanding problems in Diophantine Approximation. During the 3 day workshop, we had a series of 4 lectures on the proof by Dimitris Koukoulopoulos and James Maynard. In addition, James Maynard presented a colloquium to a wider audience. Several other prominent figures in Diophantine Approximation, including several who have previously worked on the Duffin‐Schaeffer Conjecture, also gave talks at the workshop. Supplementary to the talks, we had an open problems session to stimulate discussion of some of the open problems in this area to be addressed going forwards. In particular, one conclusion of this session was that a greater understanding of the recent work of Koukoulopoulos and Maynard ought to be achieved lest the new ideas may yield solutions to other problems in Diophantine Approximation.
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6‐24 January 2020 Discrete Structure: Algebra, Combinatorics and Geometry Lancaster Organiser: Anthony Nixon (Lancaster). 19 participants Participants: Daniel Bernstein (MIT), Jim Cruickshank (Galway), Daniel Garamvolgyi (Eotvos Lorand), Georg Grasegger (RICAM/JKU Linz), Hakan Guler (Kastamonu), John Hewetson (Lancaster), Bill Jackson (Queen Mary), Tibor Jordan (Eotvos Lorand), Oleg Karpenkov (Liverpool), Lefteris Kastis (Lancaster), Fatemeh Mohammadi (Bristol), Tony Nixon (Lancaster), Steve Power (Lancaster), Orit Raz (Jerusalem), Bernd Schulze (Lancaster), Meera Sitharam (Florida), Shinichi Tanigawa (Tokyo), Louis Theran (St Andrews), Joe Wall (Lancaster)
Report The group (of 13 visitors and several locals) met across 3 weeks in By: Anthony Nixon January to discuss recent progress and new directions towards solving the fundamental 3‐dimensional rigidity problem, open essentially since Maxwell's 1864 work on stresses and strains in structures.
The group had 9 one hour talks and large blocks of time for focussed group research. The highlight of the talks was a pair of talks on maximal matroids. These talks, by Meera Sitharam (Florida) and then by Bill Jackson (Queen Mary), described their respective groups progress on several crucial conjectures in geometric rigidity. Given the complexity of the concepts/ideas the large amount of discussion time available helped greatly.
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There tended to be between 2 and 4 working groups at any one time with some groups solving special cases (an example being given in the recent preprint https://arxiv.org/abs/2003.06648). One of the most interesting groups considered the special case of triangulated closed 2‐manifolds and made good progress on showing the underlying graph of any such surface has a unique realisation in Euclidean 3‐space if and only if it is 4‐connected.
I received a number of positive comments from participants on their experience and several enquiries about having similar meetings in the future. We were all very grateful to the Heilbronn Institute for their generous financial support.
29 March 2020 ‐ School on Data Science and Quantum Computing 2nd April 2020 Organiser: Michael Farber (Institute of Applied Data Science at Bristol Queen Mary University of London, QMUL). Postponed
31 March 2020 Relativistic Quantum Summoning Tasks: Theory and Applications Cambridge Organiser: Adrian Kent (Cambridge). Postponed
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4‐11 June 2020 Machine Learning in Algebraic Geometry Nottingham Organiser: Alexander Kasprzyk (Nottingham). Postponed
8‐12 June 2020 Multivariate Orthogonal Polynomials and Moments of Random Bristol Matrices Postponed Organisers: Francesco Mezzadri (Bristol), Tamara Grava (Bristol). Participants: Fabio Delan Cunden (Dublin), Antoine Dahlqvist (Sussex), Lakshmi Sai Bhargavi Jonnadula (Bristol), Massimo Gisonni (SISSA), Giulio Ruzza (Louvain), Brian Winn (Loughborough).
11‐12 June 2020 York Workshop in Quantum Information, Complexity & York Cryptography (QUICC) Postponed Organiser: Delaram Kahrobaei (York).
22‐26 June 2020 Cohomology of Wonderful Compactification Models Bristol Organiser: Farhad Babaee (Bristol). Postponed
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22‐24 July 2020 New Challenges in the KPZ Universality Class Bristol Organiser: Ofer Busani (Bristol) Postponed Participants: Márton Balázs (Bristol), Timo Seppäläinen (Wisconsin‐Madison), Nicos Zygouras (Warwick), Patrik Ferrari (Bonn), Ivan Corwin (Columbia), Alessandra Occelli (Bonn), Alan Hammond (Berkeley), Lingfu Zhang (Princeton).
August 2020 Variable‐Kernel Kernel Density Estimation Bristol Organiser: Chris Doris (Bristol). Postponed
August 2020 Recent Progress on Local Smoothing, Restriction and Kakeya Bristol Problems Postponed Organiser: Kevin Hughes (Bristol).
September 2020 Overconvergent Eichler‐Shimura maps for Hilbert Modular Forms Warwick Organiser: Chris Birkbeck (UCL). Postponed
21‐25 September 2020 Probabilistic Approaches to Numerical Computation Newcastle Organiser: Chris Oates (Newcastle). Postponed
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APPENDIX E4 Future Events
5 November 2020 Data Science Seminar | Robust Representation Learning Bristol Speaker: Taylan Cemgil (DeepMind, UK)
(In cooperation with the Jean Golding Institute, University of Bristol).
7‐11 December 2020 Tropical Geometry, Berkovich Spaces, Arithmetic D‐Modules and Imperial College p‐adic Local Systems Organisers: Andrea Pulita (Grenoble Alpes), Ambrus Pal (Imperial College of London).
Speakers: Tomoyuki Abe (Kavli IPMU), Vladimir Berkovich (Weizmann Institute), Roman Bezrukavnikov (Massachusetts), Andreas Bode (Cambridge), Bruno Chiarellotto (Padova), Richard Crew (Florida), Angelica Cueto (The Ohio State University), Veronika Ertl (Regensburg), Hélène Esnault (Freie Universität Berlin), Alex Fink (Queen Mary University of London), Michel Gros (Rennes), Walter Gubler (Regensburg), Christine Huyghe (Strasbourg), Mattias Jonsson (Michigan), Kiran S. Kedlaya (San Diego), Christian Liedtke (München), Diane Maclagan (Warwick), Wiesława Nizioł (UMPA, École Normale Supérieure de Lyon), Sam Payne (Texas, Austin), Tobias Schmidt (Rennes), Peter Schneider (Münster), Michael Temkin (Hebrew), Martin Ulirsch (Frankfurt), Annette Werner (Frankfurt)
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6 January 2021 Focused Research | K‐Stability of Smooth Fano 3‐Folds London Organiser: Anne Sophie Kaloghiros (Brunel).
20‐22 January 2021 Fry Conference Series | Mathematical Physics Institute Bristol Challenges and Recent Advances in Mathematical Physics Organisers in Bristol: Francesco Mezzadri, Mike Blake, Tamara Grava, Ashley Montanaro and Roman Schubert. Speakers: Alexander Bobenko (Berlin), Alexander Bufetov (Aix Marseille), Harry Buhrman (CWI & QUSOFT), Tom Claeys (Louvain), Margherita Disertori (Bonn), Eva‐Maria Graefe (Imperial College London), Subir Sachdev (Harvard), Sylvia Serfaty (New York).
Public Lecture: The Discrete Charm of Geometry By: Alexander Bobenko (Technische Universität Berlin)
8 March 2021 STEM for Britain 2021 London STEM for Britain is a poster competition and exhibition that aims Online Event to encourage, support and promote Britain's early‐stage and early‐career research mathematicians who are an essential part of continuing progress in and development of UK research and R&D.
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|51
31 March 2021 Focused Research | Relativistic Quantum Summoning Tasks: Cambridge Theory and Applications Organiser: Adrian Kent (Cambridge)
29‐31 March 2021 Focused Research | Stein’s Method and High‐Dimensional Time Bristol Series Analysis Organisers: Tobias Kley (Bristol), Haeran Cho (Bristol), Andreas Anastasiou (Cyprus).
6‐9 April 2021 BMC‐BAMC Meeting | The British Mathematical Colloquium and Glasgow the British Applied Mathematics Colloquium Organiser: Alex Bartel (Glasgow). Online Conference Website: https://sites.google.com/view/bmcbamc2021/home
19‐23 April 2021 YGGT X | Young Geometric Group Theory X Newcastle Organisers: Andrew Duncan (Newcastle), Sarah Rees (Newcastle), Alina Vdovina (Newcastle), Matthew Durham (California, Riverside).
April 2021 Focused Research | Cohomology of Wonderful Compactification Bristol Models Organiser: Farhad Babaee (Bristol).
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|52
3‐4 June 2021 Fry Conference Series | Pure Mathematics Institute Bristol Organisers in Bristol: Viveka Erlandsson and Mark Hagen. Speakers: Jacob Fox (Stanford), Andrew Granville (UCL), Alessandra Iozzi (ETH), Autumn Kent (Madison), Menachem Magidor (Hebrew), Aner Shalev (Hebrew), Jack Thorne (Cambridge), Tamar Zieglar (Hebrew). Public Lecture Speaker: Moon Duchin (Tufts).
7‐11 June 2021 GAGTA 2021 | Geometric and Asymptotic Group Theory with Edinburgh Applications Conference Organisers: Laura Ciobanu (Heriot‐Watt), Alan Logan (Heriot‐ Watt), Alexandre Martin (Heriot‐Watt), Tim Riley (Cornell) Alina Vdovina (Newcastle). Invited speakers: Yago Antolín (Madrid), Tara Brendle (Glasgow), Indira Chatterji (Nice), Victor Chepoi (Marseille), Vincent Delecroix (Bordeaux), Anna Erschler (ENS, Paris), Albert Garreta‐Fontelles (Bilbao), Anthony Genevois (Paris‐Sud), Meng‐Che "Turbo" Ho (Purdue), David Hume (Oxford), Aditi Kar (Royal Holloway), Olga Kharlampovich (CUNY, New York), Ian Leary (Southampton), Markus Lohrey (Siegen), Alexander Olshanskii (Vanderbilt), Damian Osajda (Wroclaw), Chloé Perin (Hebrew), Tim Riley (Cornell), Jenya Sapir (SUNY Binghamton), Nicholas Touikan (New Brunswick), Reidun Twarok (York), Henry Wilton (Cambridge).
7‐9 June 2021 YRM2021 | Young Researchers in Mathematics Bristol Organisers in Bristol: Emma Bailey, Ollie Clarke, Nirvana Coppola, Charley Cummings, Ayesha Hussain. Speakers: Alex Bartel (Glasgow), Thomas Bloom (Cambridge), Alessandra Caraceni (Oxford), Tom Kempton (Manchester), Diane Maclagan (Warwick), Rachel Newton (Reading), Saul Schleimer (Warwick), Karoline Wiesner (Bristol), Brian Winn (Loughborough).
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|53
June 2021 Focused Research |Machine Learning in Algebraic Geometry Nottingham Organiser: Alexander Kasprzyk (Nottingham).
Date to be confirmed Y‐RANT 2021| Young Researchers in Algebraic Number Theory Bristol Organiser: Dan Fretwell (Bristol).
21‐25 June 2021 Focused Research | Combinatorics Meets Model Theory Cambridge Organisers: Gabriel Conant (Cambridge), Caroline Terry (Chicago), Julia Wolf (Cambridge).
22 June‐2nd July 2021 CMI‐HIMR Summer School 2021 | In the Area of Hyperbolic Bristol Geometry/ Dynamics Organisers in Bristol: Viveka Erlandsson, Jens Marklof, John Mackay.
5‐16 July 2021 MSRI 2021 Summer Graduate School | Mathematical Sciences Oxford Research Institute: Metric Geometry and Geometric Analysis Organisers: Cornelia Drutu (Oxford), Panos Papazoglou (Oxford). Lecturers: Luigi Ambrosio (Scuola Normale Superiore), Michail Gromov (New York, Courant Institute), Bruce Kleiner (New York, Courant Institute), Regina Rotman (Toronto).
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|54
12‐16 July 2021 ICMS Workshop | Young Researchers in Combinatorics Edinburgh Organisers: Shagnik Das (FU Berlin), Carla Groenland (Oxford), Jonathan Noel (Warwick), Yanitsa Pehova (Warwick).
19‐23 July 2021 70 years of Percolation' Conference Cambridge Organiser: Roland Bauerschmidt (Cambridge).
July 2021 BIGW 2021 | British Inland Graduate Workshop in Geometry UCL Organisers: Benjamin Aslan (UCL), Corvin Paul (Imperial College London), Daniel Platt (Imperial College London).
19 July 2021 Conference on 70 years of Percolation Cambridge Organiser: Roland Bauerschmidt (Cambridge).
Date to be confirmed Quantum Computing Theory in Practice Conference Bristol Organisers: Noah Linden (Bristol), Steve Brierley (Riverlane, Cambridge), Ashley Montanaro (Bristol), Leonie Mueck (Riverlane, Cambridge).
September 2021 Focused Research | Probabilistic Approaches to Numerical Newcastle Computation Organiser: Chris Oates (Newcastle).
6‐10 September 2021 Celebration of the 60th Birthday of Bill Crawley‐Boevey Manchester Organisers: Karin Baur (Leeds), Eleonore Faber (Leeds), Henning Krause (Bielefeld), Mike Prest (Manchester), Jan Trlifaj (Prague), Michael Wemyss (Glasgow), Dan Zacharia (Syracuse, New York).
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|55
To be confirmed Focused Research | Multivariate Orthogonal Polynomials and Bristol Moments of Random Matrices Organisers: Francesco Mezzadri (Bristol), Tamara Grava (Bristol). Participants: Fabio Delan Cunden (Dublin), Antoine Dahlqvist (Sussex), Lakshmi Sai Bhargavi Jonnadula (Bristol), Massimo Gisonni (SISSA), Giulio Ruzza (Louvain), Brian Winn (Loughborough).
9‐10 September 2021 Heilbronn Annual Conference Bristol Organiser: Geoffrey Grimmett (Bristol) Speakers: Jeremy Quastel (Toronto), Heather Harrington (Oxford), Ana Caraiani (Imperial College London), Jon Brundan (Oregon), Tatiana Smirnova‐Nagnibeda (Geneva), Caucher Birkar (Cambridge), Gil Kalai (Hebrew), Peter Keevash (Oxford).
16‐17 September 2021 Fry Conference Series | Statistical Science Institute Bristol Statistics at Bristol: Future Results and You 2021 Organisers in Bristol: Haeran Cho, Sidharth Jaggi, Oliver Johnson, Henry Reeve, Sam Tickle. Speakers: Moulinath Banerjee (Michigan), Arnaud Doucet (Oxford), Peter Green (Bristol), Poh‐Ling Loh (Wisconsin‐Madison), Alon Orlitsky (UC San Diego), Judith Rousseau (Oxford), * To be confirmed *Sara van de Geer (ETH Zurich). Public Speaker: Thomas House (Manchester)
21 September 2021 The Unity of Mathematics: A Conference in Honour of Cambridge Sir Michael Atiyah Organisers: José Figueroa‐O’Farrill (Edinburgh, Lead), Laura Schaposnik (Illinois at Chicago), Caroline Series (Warwick and LMS President 2017‐19), Ivan Smith (Cambridge), Paul Sutcliffe In partnership with: (Durham), Henry Wilton (Cambridge). INI, CMI, LMS and Speakers: Robbert Dijkgraaf (IAS), Nigel Higson (Pennsylvania Oxford Mathematical State), Minhyong Kim (Oxford), Holly Krieger (Cambridge), Rahul Institute Pandharipande (ETH), Oscar Randal‐Williams (Cambridge), Peter
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|56
Sarnak (Princeton), Nick Sheridan (Edinburgh), Catharina Stroppel (Bonn), Maryna Viazovska (EPFL), Edward Witten (IAS).
September 2021 Workshop on Shape Optimisation and Geometric Spectral Theory Bristol Organisers: Asma Hassannezhad (Bristol),.Katie Gittins (Durham), Llaria Fragala (Milan).
Summer 2021 LMS Research School | Graph Packing Date to be confirmed Organisers in LSE: Peter Allen, Julia Böttcher and Jozef Skokan. Eastbourne Lecturers: Felix Joos (Hamburg), Diana Piguet (Czech Academy of Sciences, Prague), Alexey Pokrovskiy (Birkbeck).
Plenary Speakers: Penny Haxell (Waterloo), Vojtěch Rödl (Emory), Peter Keevash (Oxford).
Summer 2021 PGTC 2021 | Postgraduate Group Theory Conference Southampton Organisers in Southampton: Matthew Collins, Sam Hughes, Amina Ladjali, Kevin Li, Vladimir Vankov
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|57
Summer 2021 LMS Research School | Methods of Random Matrix Theory & Date to be confirmed Applications Reading Orgaisers: Igor Krasovsky (Reading) and Jani A. Virtanen (Reading) Main Lecturers: Estelle Basor (American Institute of Mathematics) Tamara Grava (Bristol and SISSA) Alexander Its (Indiana University–Purdue University Indianapolis)
Clay Lecturer: Jon Keating (Oxford) Guest lecturer: Diane Holcomb (KTH Royal Institute of Technology) Tutorial assistants: Benjamin Fahs (Imperial College London), György Gehér (Reading), Kasia Kozlowska (Arup and Reading).
Summer 2021 LMS Research School | Point Configurations: Deformations and Date to be confirmed Rigidity UCL Lecturers: Gero Friesecke (Munich), Douglas Hardin (Vanderbilt), Edward Saff (Vanderbilt), Danylo Radchenko (ETH Zurich).
Plenary Speakers: Keith Ball (Warwick), Henry Cohn (Microsoft Research New England), Sylvia Serfaty (New York)
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|58
APPENDIX P1 Fellows Joining since September 2019
Emma Bailey PhD (Bristol) Bristol Research Interest | Random matrix theory and its connections with number theory, probability, and combinatorics
Starting date: 1st July 2020
Kirsti Biggs PhD (Bristol) Bristol Research Interest| Diophantine approximation and additive combinatorics. Starting date | 1st October 2019
Scott Harper PhD (Bristol) Bristol Research Interest | Algebraic groups, representation theory, combinatorial group theory, algebraic combinatorics and fractal geometry. Starting date | 1st October 2019
Bejamin Lees PhD (Warwick) Bristol Research Interest | Classical and quantum spin system. Starting date | 1st October 2019
Fiona Skerman PhD (Oxford) Bristol Research Interest | Combinatorics: Probability network science. Starting date | 1st November 2019
Sam Tickle PhD (Lancaster) Bristol Research Interest | Statistics – Data Science. Data Science Starting date | 1st December 2019
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|59
APPENDIX P1 Fellows Joining since September 2019
Nicholas Wilkins PhD (Oxford) Bristol Research Interest | Symplectic topology, Floer theory, quantum cohomology, Gromov‐Witten invariants, string topology. Starting date | 1st October 2019
James Williams PhD (Bath) Bristol Research Interest | Finite p‐groups, computational group theory. Starting date | 1st October 2019
Chris Birkbeck PhD (Warwick) University College Research Interest | Number theory, particularly interested in p‐ London adic automorphic forms and study slopes of Hilbert modular forms. Starting date | 1st October 2019
Joshua Jackson PhD (Oxford) Imperial College Research Interest | Algebraic geometry. London Starting date | 1st October 2019
Calum Spicer PhD (California, San Diego) King’s College London Research Interest | Foliations in algebraic geometry. Starting date | 1st October 2019
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|60
APPENDIX P1 Fellows Joining since September 2019
Kieran Calvert PhD (Oxford) Manchester Research Interest | Representation theory; Coxeter and Weyl groups, graded Hecke algebras and Dirac operators in representation theory. Starting date | 1st October 2019
Benjamin Smith PhD (QMUL) Manchester Research Interest | Tropical geometry, polyhedral geometry, combinatorial commutative and algebra and combinatorics. Starting date | 1st October 2019
Louise Sutton PhD (QMUL) Manchester Research Interest | Representation theory of symmetrtic groups, Iwahori‐Hecke algebras and Khovanov‐Lauda‐Rouquier algebras. Starting date | 1st October 2019
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|61
APPENDIX P2 Fellows Leaving since September 2019
Thomas Oliver 1st October 2014 – 30 September 2017 (Bristol) Bristol / Oxford 30 October 2017 – 31 March 2020 (Oxford) Current Position: Research Fellow, University of Nottingham, UK
Kevin Grace 1st October 2018 – 15 August 2020 Bristol Current Position: Postdoctoral Scholar, Vanderbilt University, Nashville, USA
Neil Gillespie 1st October 2013 – 27 March 2020 Bristol Current Position: Riverlane Research in Quantum Computing, Cambridge, UK
Fiona Skerman 1st November 2019 – 31 March 2020 Bristol Current Position: Associate Senior Lecturer, Uppsala University, Sweden
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|62
APPENDIX P2 Fellows Leaving since September 2019
Kirsti Biggs 1st October 2019 – 31 December 2019 Bristol Current Position: Postdoctoral Researcher, Gothenburg, Sweden
Thomas Ducat 1st October 2017 – 30 September 2019 Bristol Current Position: Research Associate, Imperial College London, UK
Catherine Hsu 1st October 2018 – 31 July 2020 Bristol Current Position: Visiting Assistant Professor, Swarthmore College, Pennsylvania, USA
Jason Semeraro 1st October 2013 – 30 September 2016 (Bristol) Bristol / Leicester 1st October 2016 – 30 September 2019 (Leicester) Current Position: Lecturer in Mathematics, University of Leicester, UK
Chris Williams 1st October 2016 – 30 September 2019 Imperial College Current Position: EPSRC Postdoctoral Fellow, University of Warwick, UK
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|63
APPENDIX P3 Fellows Moving with Extensions
Ben Barber 3 year extension (Manchester) Bristol 1st October 2015 – 30 September 2019 (Bristol) 1st October 2019 – 30 September 2022 (Manchester)
Nick Jones 3 year extension (Oxford) Bristol 1st October 2017 – 30 September 2020 (Bristol) 1st October 2020 – 30 September 2023 (Oxford)
Kevin Hughes 1 year extension (Bristol) Bristol 5 December 2015 – 4 December 2021
Justin McInroy 1 year extension (Bristol) Bristol 1st October 2013 – 30 September 2021
Gene Kopp 3 year extension (Bristol) Bristol 1st October 2017 – 30 September 2023
Simon Peacock 3 year extension (Manchester) Bristol 1st October 2016 – 30 September 2019 (Bristol) 1st October 2019 – 30 September 2022 (Manchester)
Robert Kurinczuk 1 year extension (Imperial College London) Imperial College 1st October 2013 – 30 September 2016 (Bristol) London 1st October 2016 – 30 September 2021 (Imperial College London)
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|64
APPENDIX P4 Fellows Joining in October 2020
Hamza Alawiye PhD (Oxford) Bristol Research Interest | Calculus of Variations, Elasticity Theory, Solid Mechanics, Scientific Computing. Data Science
Vishal Arul PhD (MIT) University College Research Interest | The intersection of Algebraic Geometry and London Number Theory. Particularly interested in the Explicit Arithmetic of Superelliptic Curves and Jacobians.
Matthew Bisatt PhD (KCL) Bristol Research Interest | Number Theory
Jennifer Chakravarty PhD (Bristol) Bristol Research Interest | Information Theory
Data Science
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|65
APPENDIX P4 Fellows Joining in October 2020
Katie Clinch PhD (QMUL) Manchester Research Interest | Combinatorial Rigidity, Discrete and Computational Geometry.
Starting date: 1st October 2021
Sam Corson PhD (Vanderbilt) Bristol Research Interest | Topology and Group Theory, Set Theory
Simon Crawford PhD (Edinburgh) Manchester Research Interest | Noncommutative Invariant Theory and Elliptic Algebras.
David Hume PhD (Oxford) Bristol Research Interest | Geometric Group Theory.
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|66
APPENDIX P4 Fellows Joining in October 2020
Luke Jeffreys PhD (Glasgow) Bristol Research Interest | Teichmüller Theory, Mapping Class Groups, and Hyperbolic Geometry.
Adam Jones PhD (Oxford) Manchester Research Interest | Non‐commutative Algebra, Representation Theory of Compact p‐adic Analytic Groups, Ideal Structure of Iwasawa Algebras, Galois Theory, Algebraic Number Theory.
Alex Torzewski PhD (Warwick) King’s College London Research Interest | Arithmetic Geometry, Number Theory, Representation Theory.
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|67
APPENDIX M1 Career Development
Led by | Tim Burness, Associate Chair of the Heilbronn Institute Heilbronn Institute for Mathematical Research
24 October 2019 Networking and Visibility By: Rachel Herries, Postdoc and Fellows Development Centre, (Imperial College London)
21 November 2019 Publish and Prosper By: Tim Burness (Bristol)
Panel members: Asma Hassannezhad (Bristol), Tim Dokchitser (Bristol).
30 January 2020 The Lectureship Leap By: Tim Burness (Bristol)
Panel members: Mike Blake (Bristol), Asma Hassannezhad (Bristol), *Neil Saunders (Greenwich).
*Neil Saunders is a former Heilbronn Fellow at Bristol and City University.
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|68
24 April 2020 Teaching: The Good, the Bad and (avoiding) the Ugly By: Tim Burness (Bristol) Postponed
14 May 2020 Careers Outside Academia By: Tim Burness (Bristol), Jon Keating (Bristol), Adam Thomas Postponed (Bristol)
Panel discussion: Tom Murdoch (GCHQ), Steve Brierley (CEO of Riverlane), Liza Jones (Senior Enterprise Risk Manager at Aviva UK).
Annual Review | October 2019 – September 2020 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|69
Heilbronn Institute for Mathematical Research School of Mathematics, University of Bristol, Woodland Road, Bristol BS8 1UG, UK www.heilbronn.ac.uk