DOCSLIB.ORG

Annual Report 2017-2018

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
Annual Report 2017-2018 Annual Review 2017 | 2018 ONTENTS C 1 Overview 1 2 Profile 4 3 Research 6 4 Events 9 5 Personnel 13 6 Mentoring 17 7 Structures 18 APPENDICES R1 Highlighted Papers 20 R2 Complete List of Papers 23 E1 HIMR-run Events 29 E2 HIMR-sponsored Events 31 E3 Focused Research Events 39 E4 Future Events 54 P1 Fellows Joining in 2017|2018 59 P2 Fellows Leaving since September 2017 60 P3 Fellows Moving with 3-year Extensions 62 P4 Future Fellows 63 M1 Mentoring Programme 64 1. Overview This has been another excellent year for the Heilbronn Institute, which is now firmly established as a major national mathematical research centre. HIMR has developed a strong brand and is increasingly influential in the UK mathematics community. There is currently an outstanding cohort of Heilbronn Research Fellows doing first-rate research. Recruitment of new Fellows has been most encouraging, as is the fact that many distinguished academic mathematicians continue to work with the Institute. The research culture at HIMR is excellent. Members have expressed a high level of satisfaction. This is especially the case with the Fellows, many of whom have chosen to continue their relationships with the Institute. Our new Fellows come from leading mathematics departments and have excellent academic credentials. Those who left have moved to high-profile groups, including several to permanent academic positions. We currently have 29 Fellows, hosted by 6 universities. We are encouraged by the fact that of the 9 Fellows joining us this year, 5 are women. The achievements of our Fellows this year again range from winning prestigious prizes to publishing in the elite mathematical journals and organising major mathematical meetings. Annual Review | October 2017 – September 2018 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|1 There has been a considerable increase over the past three years in the number of PhD students supported by HIMR. We now support 10, and are pleased that 7 are women. Members of HIMR produced over 50 papers on their external research during the review period. This corresponds to roughly 1.6 papers per person, which compares favourably with expectations. Many of these papers are of a highly impressive quality. Publications appeared in a wide range of leading international journals. Work at HIMR is having a significant impact on Mathematics. The external events organised by the Institute have been extremely successful, with a number of exceptionally high quality Conferences, Workshops, and Focused Research Events. These included two major international meetings, one on Probability, Analysis and Dynamics and a second on the Riemann Hypothesis, which attracted the leading international researchers in their respective areas. The 2018 Annual Conference also featured a number of world-leading mathematicians. Last year we supported 37 events, taking place across the UK, more than ever before. Annual Review | October 2017 – September 2018 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|2 HIMR works closely with other major UK and international mathematics research institutes and organisations, including the American Institute of Mathematics, the Clay Mathematics Institute, the Alan Turing Institute, the International Centre for Mathematical Sciences, the Isaac Newton Institute, and the London Mathematical Society. In collaboration with the Clay Mathematics Institute we are currently establishing a new series of Postgraduate Summer Schools, which will start in 2019. As other funding agencies are increasingly promoting applied and interdisciplinary research, and/or narrowing their focus, HIMR is playing a significant and visible role in supporting a broad spectrum of UK Mathematics and Early-Career Mathematicians. The academic community continues to value this highly. HIMR is taking a leadership role with regard to several issues that are currently important to the UK mathematics community, including Knowledge Exchange and Impact. The Institute was held up as an example of best practice in the Independent Review of Knowledge Exchange in the Mathematical Sciences in the UK (The Era of Mathematics) led by Professor Philip Bond. One of the key recommendations of the review was that the idea of establishing more institutes based on the HIMR model should be explored. The team at the University of Bristol that is responsible for HIMR’s external activities continues to make an outstanding contribution to the Institute’s development. The quality of HIMR’s external activities and the visibility given to the external achievements of HIMR members contribute in a significant way to the Institute’s success by enhancing its attractiveness to the most able academic mathematicians. Annual Review | October 2017 – September 2018 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|3 2. Profile HIMR’s reputation in the academic community is now well established. The successes of the Fellows and the quality of the external events supported by the Institute are widely appreciated. This is evidenced by the continuing increase in applications for Fellowships, participation in HIMR events, and requests for HIMR support, and by the quality of our partnerships and our involvement in major national mathematical initiatives. The Focused Research Grant Scheme offers a distinctive funding opportunity that is highly valued. We received many excellent proposals again last year and were able to be highly selective. Those we funded are listed in Appendix E3. The reports we have received suggest that the events were highly successful. Conversations across the UK academic mathematics community have indicated strong support for HIMR. In particular, the Institute received numerous approaches to partner in proposals to EPSRC to run Centres for Doctoral Training. We selected five bids to support. The Institute was held up as an example of best practice in the Independent Review of Knowledge Exchange in the Mathematical Sciences in the UK (The Era of Mathematics) led by Professor Philip Bond. One of the key recommendations of the review was that the idea of establishing more institutes based on the HIMR model should be explored. Annual Review | October 2017 – September 2018 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|4 We have continued to collaborate with the American Institute of Mathematics, the Clay Mathematics Institute, the International Centre for Mathematical Sciences, the Isaac Newton Institute, the London Mathematical Society, and the Alan Turing Institute, for example in jointly running or co-funding events (see Section 4 for further details). In partnership with the Clay Institute we are establishing a major new series of Postgraduate Summer Schools, starting in 2019. We have also developed plans to collaborate with the Alan Turing Institute so that Heilbronn Fellows working in the area of Data Science can carry out their external research there. HIMR has developed plans to establish a new facility in Manchester to support our collaborations with the university there and other universities nearby. We are encouraged by the way the University of Manchester has worked in partnership with us in this initiative. We are increasingly involved in advocacy for UK Mathematics and have a unique vantage point from which to comment. For example, we play a lead role in the STEM for Britain poster competition in Parliament. We were also invited to have high-level involvement in the Review of Knowledge Exchange in the Mathematical Sciences referred to above, and we met with the Chief Executive of UKRI to discuss the HIMR model. Annual Review | October 2017 – September 2018 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|5 3. Research One of the primary aims of the Heilbronn Institute is to support the external research of its members by providing a stimulating environment and appropriate opportunities. We attract excellent mathematicians and enable them to carry out excellent research. A natural measure of the Institute’s performance in relation to this goal is therefore the quality of the papers produced by its members. Members of the Institute produced 54 papers last year. This is a healthy average rate of production: over 1.6 papers per person per year. (The corresponding figure last year was roughly 1.8.). The papers identified by members as their best are listed in appendix R1. The complete set of papers is listed in Appendix R2. In the year under review, members of the Institute have published papers in Biometrika, Communications in Mathematical Physics, Duke Mathematical Journal, the Journal of the American Statistical Association, the Memoirs of the American Mathematical Society, and Physical Review Letters. A paper published by one of the Heilbronn Fellows, solving a problem raised by Serre, was the subject of an article in Quanta Magazine in which Professor Kiran Kedlya, a highly distinguished US mathematician, described it as a “watershed moment”. Annual Review | October 2017 – September 2018 Heilbronn Institute for Mathematical Research www.heilbronn.ac.uk Page|6 Citations represent a more objective but less reliable method for assessing research in Pure Mathematics. Whilst citation numbers do not really measure quality, they can be said to correlate (crudely) with visibility. In Pure Mathematics one cannot use citation counts to measure the performance of individuals, but they can be useful in picking out trends for groups of researchers. To this end, we note that citations in 2015 to papers listing HIMR as the address of one or more authors (and some members do not to use this address, especially those in London, so inevitably a number of papers are missed) were 113% higher than in 2014. The corresponding citation count for 2016 was in turn 43% higher than in 2015, and in 2017 it was 16% higher than in 2016. It is too early to give a definitive citation count for 2018, but extrapolating current trends suggests that this growth will be maintained. Again, we remark that the numbers are relatively small and one should not read too much into their actual size, but the trend continues to be encouraging.
Load more

Recommended publications
  • June 2014 Society Meetings Society and Events SHEPHARD PRIZE: NEW PRIZE Meetings for MATHEMATICS 2014 and Events Following a Very Generous Tions Open in Late 2014
    LONDONLONDON MATHEMATICALMATHEMATICAL SOCIETYSOCIETY NEWSLETTER No. 437 June 2014 Society Meetings Society and Events SHEPHARD PRIZE: NEW PRIZE Meetings FOR MATHEMATICS 2014 and Events Following a very generous tions open in late 2014. The prize Monday 16 June donation made by Professor may be awarded to either a single Midlands Regional Meeting, Loughborough Geoffrey Shephard, the London winner or jointly to collaborators. page 11 Mathematical Society will, in 2015, The mathematical contribution Friday 4 July introduce a new prize. The prize, to which an award will be made Graduate Student to be known as the Shephard must be published, though there Meeting, Prize will be awarded bienni- is no requirement that the pub- London ally. The award will be made to lication be in an LMS-published page 8 a mathematician (or mathemati- journal. Friday 4 July cians) based in the UK in recog- Professor Shephard himself is 1 Society Meeting nition of a specific contribution Professor of Mathematics at the Hardy Lecture to mathematics with a strong University of East Anglia whose London intuitive component which can be main fields of interest are in page 9 explained to those with little or convex geometry and tessella- Wednesday 9 July no knowledge of university math- tions. Professor Shephard is one LMS Popular Lectures ematics, though the work itself of the longest-standing members London may involve more advanced ideas. of the LMS, having given more page 17 The Society now actively en- than sixty years of membership. Tuesday 19 August courages members to consider The Society wishes to place on LMS Meeting and Reception nominees who could be put record its thanks for his support ICM 2014, Seoul forward for the award of a in the establishment of the new page 11 Shephard Prize when nomina- prize.
    [Show full text]
  • Press Release
    Press release 13 August 2014 Two Fields Medals 2014 awarded to ERC laureates The 2014 Fields Medals were awarded today to four outstanding mathematicians, of whom two are grantees of the European Research Council (ERC): Prof. Artur Avila (Brazil-France), an ERC Starting grant holder since 2010, and Prof. Martin Hairer (Austria) has been selected for funding under an ERC Consolidator grant in 2013. They received the prize respectively for their work on dynamical systems and probability, and on stochastic analysis. The other two laureates are Prof. Manjul Barghava (Canada-US) and Prof. Maryam Mirzakhani (Iran). The Medals were announced at the International Congress of Mathematicians (ICM) taking place from 13 – 21 August in Seoul, South Korea. On the occasion of the announcement, ERC President Prof. Jean-Pierre Bourguignon, a mathematician himself, said: “On behalf of the ERC Scientific Council, I would like to congratulate warmly all four Fields Medallists for their outstanding contributions to the field of mathematics. My special congratulations go to Artur Avila and Martin Hairer, who are both brilliant scientists supported by the ERC. We are happy to see that their remarkable talent in the endless frontiers of science has been recognised. The Fields Medals awarded today are also a sign that the ERC continues to identity and fund the most promising researchers across Europe; this is true not only in mathematics but in all scientific disciplines.” EU Commissioner for Research, Innovation and Science, Máire Geoghegan-Quinn, said: “I would like to congratulate the four laureates of the Fields Medal announced today. The Fields Medal, the highest international distinction for young mathematicians, is a well- deserved honour for hardworking and creative young researchers who push the boundaries of knowledge.
    [Show full text]
  • The Work of Pierre Deligne
    THE WORK OF PIERRE DELIGNE W.T. GOWERS 1. Introduction Pierre Deligne is indisputably one of the world's greatest mathematicians. He has re- ceived many major awards, including the Fields Medal in 1978, the Crafoord Prize in 1988, the Balzan Prize in 2004, and the Wolf Prize in 2008. While one never knows who will win the Abel Prize in any given year, it was virtually inevitable that Deligne would win it in due course, so today's announcement is about as small a surprise as such announcements can be. This is the third time I have been asked to present to a general audience the work of the winner of the Abel Prize, and my assignment this year is by some way the most difficult of the three. Two years ago, I talked about John Milnor, whose work in geometry could be illustrated by several pictures. Last year, the winner was Endre Szemer´edi,who has solved several problems with statements that are relatively simple to explain (even if the proofs were very hard). But Deligne's work, though it certainly has geometrical aspects, is not geometrical in a sense that lends itself to pictorial explanations, and the statements of his results are far from elementary. So I am forced to be somewhat impressionistic in my description of his work and to spend most of my time discussing the background to it rather than the work itself. 2. The Ramanujan conjecture One of the results that Deligne is famous for is solving a conjecture of Ramanujan. This conjecture is not the obvious logical starting point for an account of Deligne's work, but its solution is the most concrete of his major results and therefore the easiest to explain.
    [Show full text]
  • 3-Manifold Groups
    3-Manifold Groups Matthias Aschenbrenner Stefan Friedl Henry Wilton University of California, Los Angeles, California, USA E-mail address: [email protected] Fakultat¨ fur¨ Mathematik, Universitat¨ Regensburg, Germany E-mail address: [email protected] Department of Pure Mathematics and Mathematical Statistics, Cam- bridge University, United Kingdom E-mail address: [email protected] Abstract. We summarize properties of 3-manifold groups, with a particular focus on the consequences of the recent results of Ian Agol, Jeremy Kahn, Vladimir Markovic and Dani Wise. Contents Introduction 1 Chapter 1. Decomposition Theorems 7 1.1. Topological and smooth 3-manifolds 7 1.2. The Prime Decomposition Theorem 8 1.3. The Loop Theorem and the Sphere Theorem 9 1.4. Preliminary observations about 3-manifold groups 10 1.5. Seifert fibered manifolds 11 1.6. The JSJ-Decomposition Theorem 14 1.7. The Geometrization Theorem 16 1.8. Geometric 3-manifolds 20 1.9. The Geometric Decomposition Theorem 21 1.10. The Geometrization Theorem for fibered 3-manifolds 24 1.11. 3-manifolds with (virtually) solvable fundamental group 26 Chapter 2. The Classification of 3-Manifolds by their Fundamental Groups 29 2.1. Closed 3-manifolds and fundamental groups 29 2.2. Peripheral structures and 3-manifolds with boundary 31 2.3. Submanifolds and subgroups 32 2.4. Properties of 3-manifolds and their fundamental groups 32 2.5. Centralizers 35 Chapter 3. 3-manifold groups after Geometrization 41 3.1. Definitions and conventions 42 3.2. Justifications 45 3.3. Additional results and implications 59 Chapter 4. The Work of Agol, Kahn{Markovic, and Wise 63 4.1.
    [Show full text]
  • Main Panel B
    MAIN PANEL B Sub-panel 7: Earth Systems and Environmental Sciences Sub-panel 8: Chemistry Sub-panel 9: Physics Sub-panel 10: Mathematical Sciences Sub-panel 11: Computer Science and Informatics Sub-panel 12: Engineering Where required, specialist advisers have been appointed to the REF sub-panels to provide advice to the REF sub-panels on outputs in languages other than English, and / or English-language outputs in specialist areas, that the panel is otherwise unable to assess. This may include outputs containing a substantial amount of code, notation or technical terminology analogous to another language In addition to these appointments, specialist advisers will be appointed for the assessment of classified case studies and are not included in the list of appointments. Main Panel B Main Panel B Chair Professor David Price University College London Deputy Chair Professor Dame Muffy Calder* University of Glasgow Members Professor Mike Ashfold University of Bristol Professor John Clarkson University of Cambridge Dr Peter Costigan Independent Professor Paula Eerola University of Helsinki Professor Alison Etheridge University of Oxford Dr Giles Graham Defence Science Technology Laboratory Professor Michael Hinton High Value Manufacturing Catapult Professor Andrew Holmes University of Melbourne Professor Raymond Jeanloz University of California, Berkeley Mr Ben Johnson Graphic Science Ltd Professor Hilary Lappin-Scott Cardiff University Professor John Ludden Heriot-Watt University Professor Miles Padgett University of Glasgow Professor Simon
    [Show full text]
  • April 2017 Table of Contents
    ISSN 0002-9920 (print) ISSN 1088-9477 (online) of the American Mathematical Society April 2017 Volume 64, Number 4 AMS Prize Announcements page 311 Spring Sectional Sampler page 333 AWM Research Symposium 2017 Lecture Sampler page 341 Mathematics and Statistics Awareness Month page 362 About the Cover: How Minimal Surfaces Converge to a Foliation (see page 307) MATHEMATICAL CONGRESS OF THE AMERICAS MCA 2017 JULY 2428, 2017 | MONTREAL CANADA MCA2017 will take place in the beautiful city of Montreal on July 24–28, 2017. The many exciting activities planned include 25 invited lectures by very distinguished mathematicians from across the Americas, 72 special sessions covering a broad spectrum of mathematics, public lectures by Étienne Ghys and Erik Demaine, a concert by the Cecilia String Quartet, presentation of the MCA Prizes and much more. SPONSORS AND PARTNERS INCLUDE Canadian Mathematical Society American Mathematical Society Pacifi c Institute for the Mathematical Sciences Society for Industrial and Applied Mathematics The Fields Institute for Research in Mathematical Sciences National Science Foundation Centre de Recherches Mathématiques Conacyt, Mexico Atlantic Association for Research in Mathematical Sciences Instituto de Matemática Pura e Aplicada Tourisme Montréal Sociedade Brasileira de Matemática FRQNT Quebec Unión Matemática Argentina Centro de Modelamiento Matemático For detailed information please see the web site at www.mca2017.org. AMERICAN MATHEMATICAL SOCIETY PUSHING LIMITS From West Point to Berkeley & Beyond PUSHING LIMITS FROM WEST POINT TO BERKELEY & BEYOND Ted Hill, Georgia Tech, Atlanta, GA, and Cal Poly, San Luis Obispo, CA Recounting the unique odyssey of a noted mathematician who overcame military hurdles at West Point, Army Ranger School, and the Vietnam War, this is the tale of an academic career as noteworthy for its o beat adventures as for its teaching and research accomplishments.
    [Show full text]
  • Henri Darmon
    Henri Darmon Address: Dept of Math, McGill University, Burnside Hall, Montreal, PQ. E-mail: [email protected] Web Page: http://www.math.mcgill.ca/darmon Telephone: Work (514) 398-2263 Home: (514) 481-0174 Born: Oct. 22, 1965, in Paris, France. Citizenship: Canadian, French, and Swiss. Education: 1987. B.Sc. Mathematics and Computer Science, McGill University. 1991. Ph.D. Mathematics, Harvard University. Thesis: Refined class number formulas for derivatives of L-series. University Positions: 1991-1994. Princeton University, Instructor. 1994-1996. Princeton University, Assistant Professor. 1994-1997. McGill University, Assistant Professor. 1997-2000. McGill University, Associate Professor. 2000- . McGill University, Professor. 2005-2019. James McGill Professor, McGill University. Other positions: 1991-1994. Cercheur hors Qu´ebec, CICMA. 1994- . Chercheur Universitaire, CICMA. 1998- . Director, CICMA (Centre Interuniversitaire en Calcul Math´ematique Alg´ebrique). 1999- . Member, CRM (Centre de Recherches Math´ematiques). 2005-2014. External member, European network in Arithmetic Geometry. Visiting Positions: 1991. IHES, Paris. 1995. Universit´a di Pavia. 1996. Visiting member, MSRI, Berkeley. 1996. Visiting professor and guest lecturer, University of Barcelona. 1997. Visiting Professor, Universit´e Paris VI (Jussieu). 1997. Visitor, Institut Henri Poincar´e. 1998. Visiting Professor and NachDiplom lecturer, ETH, Zuric¨ h. 1999. Visiting professor, Universit`a di Pavia. 2001. Visiting professor, Universit`a di Padova. 2001. Korea Institute for Advanced Study. 2002. Visiting professor, RIMS and Saga University (Japan). 1 2003. Visiting Professor, Universit´e Paris VI, Paris. 2003. Visiting professor, Princeton University. 2004. Visiting Professor, Universit´e Paris VI, Paris. 2006. Visiting Professor, CRM, Barcelona, Spain. 2008. Visiting Professor, Universit´e Paris-Sud (Orsay).
    [Show full text]
  • PDF in English
    :RUOG6FLHQWLÀF Newsletter No. 39 • October 2014 World Scientific publishes acclaimed new book Fields Medallists’ Lectures, 3rd Edition edited by Sir Michael Atiyah (University of Edinburgh, UK), Daniel Iagolnitzer (CEA-Saclay, France), Chitat Chong (National University of Singapore) John W. MilnorEnrico Bombieri Gerd Faltings Andrei Okounkov Terence Tao Cédric Villani Elon Lindenstrauss Ngô Båo Châu Stanislav Smirnov Manjul Bhargava Martin Hairer lthough the Fields Medal does not have the same public The third edition of Fieldsds recognition as the Nobel Prize, they share a similar Medallists’ Lectures featuress Aintellectual standing. It is restricted to one field — that additional contributions from: of mathematics. The medal is awarded to the best mathematicians John W. Milnor (1962), Enricoo who are 40 or younger, every four years. Bombieri (1974), Gerd Faltingsgs A list of Fields Medallists and their contributions provides (1986), Andrei Okounkov (2006), TTerence TTao (2006)(2006), CédCédrici a bird’s eye view of the major developments in mathematics Villani (2010), Elon Lindenstrauss (2010), Ngô Båo Châu over the past 80 years. It highlights the areas in which, at (2010), Stanislav Smirnov (2010), Manjul Bhargava (2014) and various times, the greatest progress has been made. Martin Hairer (2014). At approximately 1000 pages, this new edition will be published in two volumes. The Lives and Works of 33 Nobel Laureates in Crystallography presented in new book From a Grain of Salt to the Ribosome his book is published to Sweden), Anders Liljas (Lund University, Sweden), Sven Lidin celebrate the Interna- (Lund University, Sweden), From a Grain of Salt to the T tional Year of Crystall- Ribosome: The History of Crystallography as Seen Through the ography 2014, as proclaimed by Lens of the Nobel Prize describes the lives and works of 33 Nobel the United Nations.
    [Show full text]
  • The Fermat Conjecture
    THE FERMAT CONJECTURE by C.J. Mozzochi, Ph.D. Box 1424 Princeton, NJ 08542 860/652-9234 [email protected] Copyright C.J. Mozzochi, Ph.D. - 2011 THE FERMAT CONJECTURE FADE IN: EXT. OXFORD GRAMMAR SCHOOL -- DAY (1963) A ten-year-old ANDREW WILES is running toward the school to talk with his friend, Peter. INT. HALL OF SCHOOL Andrew Wiles excitedly approaches PETER, who is standing in the hall. ANDREW WILES Peter, I want to show you something very exciting. Let’s go into this classroom. INT. CLASSROOM Andrew Wiles writes on the blackboard: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11...positive integers. 3, 5, 7, 11, 13...prime numbers. 23 = 2∙ 2∙ 2 35 = 3∙ 3∙ 3∙ 3∙ 3 xn = x∙∙∙x n-terms and explains to Peter the Fermat Conjecture; as he writes on the blackboard. ANDREW WILES The Fermat Conjecture states that the equation xn + yn = zn has no positive integer solutions, if n is an integer greater than 2. Note that 32+42=52 so the conjecture is not true when n=2. The famous French mathematician Pierre Fermat made this conjecture in 1637. See how beautiful and symmetric the equation is! Peter, in a mocking voice, goes to the blackboard and writes on the blackboard: 1963-1637=326. PETER Well, one thing is clear...the conjecture has been unproved for 326 years...you will never prove it! 2. ANDREW WILES Don’t be so sure. I have already shown that it is only necessary to prove it when n is a prime number and, besides, Fermat could not have known too much more about it than I do.
    [Show full text]
  • Arxiv:2005.14365V1 [Math.NT] 29 May 2020
    VARIATIONS IN THE DISTRIBUTION OF PRINCIPALLY POLARIZED ABELIAN VARIETIES AMONG ISOGENY CLASSES EVERETT W. HOWE Abstract. We show that for a large class of rings R, the number of principally polarized abelian varieties over a finite field in a given simple ordinary isogeny class and with endomorphism ring R is equal either to 0, or to a ratio of class numbers associated to R, up to some small computable factors. This class of rings includes the maximal order of the CM field K associated to the isogeny class (for which the result was already known), as well as the order R generated over Z by Frobenius and Verschiebung. For this latter order, we can use results of Louboutin to estimate the appropriate ratio of class numbers in terms of the size of the base field and the Frobenius angles of the isogeny class. The error terms in our estimates are quite large, but the trigonometric terms in the estimate are suggestive: Combined with a result of Vl˘adut¸on the distribution of Frobenius angles of isogeny classes, they give a heuristic argument in support of the theorem of Katz and Sarnak on the limiting distribution of the multiset of Frobenius angles for principally polarized abelian varieties of a fixed dimension over finite fields. 1. Introduction In this paper we consider the problem of estimating the number of isomorphism classes of principally polarized abelian varieties (A; λ) such that A lies in a given isogeny class of simple ordinary abelian varieties over a finite field. We approach this problem by subdividing isogeny classes into their strata, which are the subsets of an isogeny class consisting of abelian varieties sharing the same endomorphism ring.
    [Show full text]
  • NEWSLETTER Issue: 481 - March 2019
    i “NLMS_481” — 2019/2/13 — 11:04 — page 1 — #1 i i i NEWSLETTER Issue: 481 - March 2019 HILBERT’S FRACTALS CHANGING SIXTH AND A-LEVEL PROBLEM GEOMETRY STANDARDS i i i i i “NLMS_481” — 2019/2/13 — 11:04 — page 2 — #2 i i i EDITOR-IN-CHIEF COPYRIGHT NOTICE Iain Moatt (Royal Holloway, University of London) News items and notices in the Newsletter may [email protected] be freely used elsewhere unless otherwise stated, although attribution is requested when reproducing whole articles. Contributions to EDITORIAL BOARD the Newsletter are made under a non-exclusive June Barrow-Green (Open University) licence; please contact the author or photog- Tomasz Brzezinski (Swansea University) rapher for the rights to reproduce. The LMS Lucia Di Vizio (CNRS) cannot accept responsibility for the accuracy of Jonathan Fraser (University of St Andrews) information in the Newsletter. Views expressed Jelena Grbic´ (University of Southampton) do not necessarily represent the views or policy Thomas Hudson (University of Warwick) of the Editorial Team or London Mathematical Stephen Huggett (University of Plymouth) Society. Adam Johansen (University of Warwick) Bill Lionheart (University of Manchester) ISSN: 2516-3841 (Print) Mark McCartney (Ulster University) ISSN: 2516-385X (Online) Kitty Meeks (University of Glasgow) DOI: 10.1112/NLMS Vicky Neale (University of Oxford) Susan Oakes (London Mathematical Society) David Singerman (University of Southampton) Andrew Wade (Durham University) NEWSLETTER WEBSITE The Newsletter is freely available electronically Early Career Content Editor: Vicky Neale at lms.ac.uk/publications/lms-newsletter. News Editor: Susan Oakes Reviews Editor: Mark McCartney MEMBERSHIP CORRESPONDENTS AND STAFF Joining the LMS is a straightforward process.
    [Show full text]
  • XXXX LEVER JAN15 NEWSLTTR.Indd 1 28/01/2015 11:34 DIRECTOR’S NOTE FUNDING UPDATES COMPETITIONS SCHEME NEWS OLD and NEW
    SCHOLARSHIPS FOR RESEARCH AND EDUCATION JANUARY 2015 ROUND MOUNDS Were they really built by Normans? INSIDE THIS ISSUE The ‘me’ in memory Exploring the developing self The American steppe Russian influences on the Great Plains GEMOLOGY NANOSYNTHESIS New materials, new worlds Jewellers, travellers and the A new method of nanostructure Understanding the uses of Bronze Age axes science of gems in France in fi lms XXXX LEVER JAN15 NEWSLTTR.indd 1 28/01/2015 11:34 DIRECTOR’S NOTE FUNDING UPDATES COMPETITIONS SCHEME NEWS OLD AND NEW Award winners in no fewer than seven and the latest round produced over LEVERHULME RESEARCH funding streams are announced in this 750 applications, so we were very CENTRES edition of the Newsletter. pleased to be able to make 100 awards. We congratulate the recipients of Competition to secure one of these The Leverhulme Trust has announced our new Leverhulme Doctoral Scholarship Fellowships is obviously fierce – so many the launch of a major new initiative to Awards. Fourteen universities will each congratulations to those who succeeded establish Leverhulme Research Centres receive £1 million, over three years, to in this particular round. in the UK, representing a commitment provide 15 scholarships per institution For the first time, our popular of up to £10 million over 10 years for to address topics as diverse as Artist in Residence Grants were made each Centre. The objective is to fund understanding maritime futures, climate via the competitive mechanism of a innovative research of the greatest justice, genetics journeys into history and single ‘gathered field’. Over 100 bids originality and to encourage bold, mathematics for a sustainable society.
    [Show full text]