NEWSLETTER Issue: 488 - May 2020

Total Page:16

File Type:pdf, Size:1020Kb

NEWSLETTER Issue: 488 - May 2020 i “"NLMS_488 (Katherine Wright’s conicted copy 2020-04-20)"” — 2020/4/21 — 10:17 — page 1 — #1 i i i NEWSLETTER Issue: 488 - May 2020 PHILIPPA 2520 MATHS FAWCETT ANTS FOR MEETS DYLAN ARTS i i i i i “"NLMS_488 (Katherine Wright’s conicted copy 2020-04-20)"” — 2020/4/21 — 10:17 — page 2 — #2 i i i EDITOR-IN-CHIEF COPYRIGHT NOTICE Eleanor Lingham (Sheeld Hallam University) 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 David Chillingworth (University of Southampton) photographer for the rights to reproduce. Jessica Enright (University of Glasgow) The LMS cannot accept responsibility for the Jonathan Fraser (University of St Andrews) accuracy of information in the Newsletter. Views Jelena Grbic´ (University of Southampton) expressed do not necessarily represent the Cathy Hobbs (UWE) views or policy of the Editorial Team or London Thomas Hudson (University of Warwick) Mathematical Society. Stephen Huggett Adam Johansen (University of Warwick) ISSN: 2516-3841 (Print) Aditi Kar (Royal Holloway University) ISSN: 2516-385X (Online) Mark McCartney (Ulster University) DOI: 10.1112/NLMS Susan Oakes (London Mathematical Society) Andrew Wade (Durham University) Mike Whittaker (University of Glasgow) NEWSLETTER WEBSITE Early Career Content Editor: Jelena Grbic´ The Newsletter is freely available electronically News Editor: Susan Oakes at lms.ac.uk/publications/lms-newsletter. Reviews Editor: Mark McCartney MEMBERSHIP CORRESPONDENTS AND STAFF Joining the LMS is a straightforward process. For membership details see lms.ac.uk/membership. LMS/EMS Correspondent: David Chillingworth Policy Digest: John Johnston Production: Katherine Wright SUBMISSIONS Printing: Holbrooks Printers Ltd The Newsletter welcomes submissions of feature content, including mathematical articles, EDITORIAL OFFICE career related articles, and microtheses, from members and non-members. Submission London Mathematical Society guidelines and LaTeX templates can be found at De Morgan House lms.ac.uk/publications/submit-to-the-lms-newsletter. 57–58 Russell Square London WC1B 4HS Feature content should be submitted to the [email protected] editor-in-chief at [email protected]. Charity registration number: 252660 News items should be sent to [email protected]. Notices of events should be prepared using the COVER IMAGE template at lms.ac.uk/publications/lms-newsletter and sent to [email protected]. Sounds of Surface: an art installation by Jenny Hibberd & Andrew Johnston For advertising rates and guidelines see Photo credit: Dean Leavers lms.ac.uk/publications/advertise-in-the-lms-newsletter. i i i i i “"NLMS_488 (Katherine Wright’s conicted copy 2020-04-20)"” — 2020/4/21 — 10:17 — page 3 — #3 i i i CONTENTS NEWS The latest from the LMS and elsewhere 4 LMS BUSINESS Reports from the LMS 14 FEATURES The Hong Kong Mathematical Society 17 On being LMS President 18 The First Woman Senior Wrangler 21 2520 Ants for Dylan 28 Maths Meets Arts 31 Mathematics News Flash 36 EARLY CAREER Maths and Mingle 38 Microthesis: Massey Products in Moment–Angle Complexes 40 REVIEWS From the bookshelf 42 OBITUARIES In memoriam 47 EVENTS Latest announcements 51 CALENDAR All forthcoming events 52 i i i i i “"NLMS_488 (Katherine Wright’s conflicted copy 2020-04-20)"” — 2020/4/21 — 10:17 — page 4 — #4 i i i 4 NEWS FROM THE EDITOR-IN-CHIEF Well here we all are at the start of May — the sun is funding? Application deadlines are ongoing — see the shining, the birds are singing and the world is so very EPSRC New Horizons call — and, who could believe it, changed. Who knew that these changes were coming? you might actually have a leisurely amount of time to Who could have predicted that the whole world (almost) put your application together. would come to a standstill — that people would stay at home, that universities would empty, that conferences What else? Will we join the coronavirus fight? Will we would cease, that lecturing would be via a screen, and finally read that book that has been on the shelf for exams via the internet? nearly a decade? Will we take the time to brush up on that bit of maths (or heavens, statistics!) that could be We could fill this Newsletter with what has stopped, useful? Will we think about joining a Society committee what has been affected, and what has changed. But — or write an article for the Newsletter? (Please do.) let’s try and think of the positives — potentially, we Will we reconnect with our hobbies (remember those?) have more time to think; more time of quiet; more time and other interests? Have a look at Katrin Leschke’s to reflect — although, perhaps, as Jonathan Fraser’s article for inspiration. article describes, this isn’t the case for all of us. While many conferences have been cancelled or postponed, And if none of these suggestions appeal — remember lots of us have finally bitten the ‘online’ bullet (yes, — there is always the Riemann Hypothesis. I have been quite slow to the party) and can now virtually connect as well as anyone. And what about Eleanor Lingham Editor-in-Chief LMS NEWS Caroline Wallace decide on the allocation of users to channels. Caroline remains a Chartered Engineer, and a member of the IET and IMechE. Caroline’s career then took her into the economic regulation of telecoms networks, and from there to public interest regulation in general. She regards it as crucially important that such regulation is informed by technical expertise. For the last several years Caroline has been the Strategy Director at the Legal Services Board, which has made her very familiar both with managing multi-disciplinary teams and with the legal system. Caroline Wallace is the Society’s new Executive Secretary. She was born in New Zealand, where at the Now she is very pleased to have come back into the age of 8 she noticed the non-uniform gradations on a scientific world, and started as the LMS Executive wedge-shaped rain gauge and was intrigued to know Secretary on 6 April. She says, “I am very impressed by how the spacings were worked out. the calibre of people at the LMS, and by its reputation and history. I am keen to make a contribution to the A decade later Caroline became a student at important work the Society does for mathematics.” Cambridge, graduating with a first in Engineering. She worked for some time as an engineer. For example, she was the radio network capacity manager for a Stephen Huggett telecoms company, where she used queueing theory to LMS General Secretary i i i i i “"NLMS_488 (Katherine Wright’s conicted copy 2020-04-20)"” — 2020/4/21 — 10:17 — page 5 — #5 i i i NEWS 5 Open Access publishing in the UK Eligible corresponding authors whose papers are accepted for the Bulletin, Journal, Proceedings, The LMS is continuing to monitor and, where Transactions, Journal of Topology and Mathematika appropriate, respond to changes within the academic will be automatically presented with the option of publishing landscape, including the recent increased publishing the version of record of their article Open drive by funders toward Open Access outputs. Access under a Creative Commons licence. Specific guidance can be found at tiny.cc/Wiley_Jisc. In April 2020, the Society responded to a consultation on a draft Open Access policy for peer-reviewed Similar arrangements have previously been negotiated research articles and academic books that result from between Jisc and a number of other academic research supported by UK Research and Innovation publishers. These include Cambridge University Press (UKRI). The Society’s response reflected its role as a and Institute of Physics Publishing, with whom the representative of the UK mathematics community and Society also has publishing partnerships. as a publisher. Details of the UKRI Open Access Review can be found on their website at tiny.cc/UKRI_OA. These new agreements, which are increasingly being requested by and negotiated with international library Recently, a ‘read and publish’ agreement was struck consortia, represent one way in which many publishers between Jisc (the UK’s research and education are proposing to gradually transition towards Open non-profit organisation that arranges licences and Access in a sustainable fashion. digital content agreements on behalf of higher education institutes), and Wiley (the Society’s partner The Society is currently preparing its response to a in the production, hosting and distribution of six LMS consultation (which closes on 29 May) on a draft Open journals). Access policy for peer-reviewed research articles and academic books that result from research supported As well as being able to read all of Wiley’s journals, by UK Research and Innovation (UKRI). researchers from 138 Jisc member institutions will be eligible to publish Open Access in hybrid and fully Open Access journals published by Wiley at no direct John Hunton cost to the author(s) or their institutions. LMS Publications Secretary OTHER NEWS Clay Research Fellows 2020 IMA Catherine Richards Prize The best article in Mathematics Today (published by The Clay Mathematics Institute is pleased to the Institute of Mathematics and Its Applications) announce that Amol Aggarwal and Yang Li have been is awarded the Catherine Richards Prize each year. awarded Clay Research Fellowships. Dr Mark McCartney (University of Ulster) was awarded the prize for Fluids, Fluorescence and a Hat Full of Beetles Amol Aggarwal will receive his PhD in 2020 from which was published to celebrate the bicentenary of Harvard University, where he has been advised the birth of George Gabriel Stokes.
Recommended publications
  • The Motivic Fundamental Group of the Punctured Projective Line
    THE MOTIVIC FUNDAMENTAL GROUP OF THE PUNCTURED PROJECTIVE LINE BERTRAND J. GUILLOU Abstract. We describe a construction of an object associated to the fundamental group of P1 −{0, 1, ∞} in the Bloch-Kriz category of mixed Tate motives. This description involves Massey products of Steinberg symbols in the motivic cohomology of the ground field. Contents 1. Introduction 2 2. Motivic Cohomology 4 2.1. The conjectural picture 4 2.2. Bloch’s cycle complex 6 2.3. Friedlander-Suslin-Voevodsky variant 8 2.4. Cocycles for functions 11 3. Mixed Tate Motives 13 3.1. Mixed Tate categories 13 3.2. The approach of Bloch-Kriz 14 3.3. The homotopy category of cell modules 17 3.4. The approach of Kriz-May 19 3.5. Minimal modules 20 4. The motivic fundamental group 21 4.1. The n = 2 case 21 arXiv:0903.1705v1 [math.AG] 10 Mar 2009 4.2. Massey products 23 4.3. The n = 3 case 24 4.4. The general case 28 4.5. Trimming the fat 31 4.6. Vanishing of Massey Products 33 4.7. Bloch-Totaro cycles 35 4.8. 3-fold and 4-fold Massey products 35 References 36 Date: October 15, 2018. 1 2 BERTRAND J. GUILLOU 1. Introduction The importance of the algebraic fundamental group of P1 − {0, 1, ∞} has been known for some time: “[A. Grothendieck] m’a aussi dit, avec force, que le compl´et´e 1 profiniπ ˆ1 du groupe fondamental de X := P (C)−{0, 1, ∞}, avec son action de Gal(Q/Q) est un objet remarquable, et qu’il faudrait l’´etudier.” -[Del] Indeed, Belyi’s theorem implies that the canonical action of Gal(Q/Q) is faithful.
    [Show full text]
  • Caucher Birkar — from Asylum Seeker to Fields Medal Winner at Cambridge
    MATHS, 1 Caucher Birkar, 41, at VERSION Cambridge University, photographed by Jude Edginton REPR O OP HEARD THE ONE ABOUT THE ASYLUM SEEKER SUBS WHO WANDERED INTO A BRITISH UNIVERSITY... A RT AND CAME OUT A MATHS SUPERSTAR? PR ODUCTION CLIENT Caucher Birkar grew up in a Kurdish peasant family in a war zone and arrived in Nottingham as a refugee – now he has received the mathematics equivalent of the Nobel prize. By Tom Whipple BLACK YELLOW MAGENTA CYAN 91TTM1940232.pgs 01.04.2019 17:39 MATHS, 2 VERSION ineteen years ago, the mathematics Caucher Birkar in Isfahan, Receiving the Fields Medal If that makes sense, congratulations: you department at the University of Iran, in 1999 in Rio de Janeiro, 2018 now have a very hazy understanding of Nottingham received an email algebraic geometry. This is the field that from an asylum seeker who Birkar works in. wanted to talk to someone about The problem with explaining maths is REPR algebraic geometry. not, or at least not always, the stupidity of his They replied and invited him in. listeners. It is more fundamental than that: O OP N So it was that, shortly afterwards, it is language. Mathematics is not designed Caucher Birkar, the 21-year-old to be described in words. It is designed to be son of a Kurdish peasant family, described in mathematics. This is the great stood in front of Ivan Fesenko, a professor at triumph of the subject. It was why a Kurdish Nottingham, and began speaking in broken asylum seeker with bad English could convince SUBS English.
    [Show full text]
  • Millicent Fawcett from Wikipedia, the Free Encyclopedia
    Millicent Fawcett From Wikipedia, the free encyclopedia Dame Millicent Garrett Fawcett, GBE (11 June 1847 – 5 August 1929) was an English feminist, intellectual, political and union leader, and writer. She is primarily known for her work as a campaigner for women to have Millicent Fawcett the vote. GBE As a suffragist (as opposed to a suffragette), she took a moderate line, but was a tireless campaigner. She concentrated much of her energy on the struggle to improve women's opportunities for higher education and in 1875 co­founded Newnham College, Cambridge.[1] She later became president of the National Union of Women's Suffrage Societies (the NUWSS), a position she held from 1897 until 1919. In July 1901 she was appointed to lead the British government's commission to South Africa to investigate conditions in the concentration camps that had been created there in the wake of the Second Boer War. Her report corroborated what the campaigner Emily Hobhouse had said about conditions in the camps. Contents 1 Early life 2 Married life 3 Later years 4 Political activities Born Millicent Garrett 5 Works 11 June 1847 6 See also Aldeburgh, England, United Kingdom 7 References 8 Archives Died 5 August 1929 (aged 82) 9 External links London, England, United Kingdom Nationality British Occupation Feminist, suffragist, union leader Early life Millicent Fawcett was born on 11 June 1847 in Aldeburgh[2] to Newson Garrett, a warehouse owner from Leiston, Suffolk, and his wife, Louisa née Dunnell (1813–1903), from London.[3][4] The Garrett ancestors had been ironworkers in East Suffolk since the early seventeenth century.[5] Newson Garrett was the youngest of three sons and not academically inclined, although he possessed the family’s entrepreneurial spirit.
    [Show full text]
  • Prvních Deset Abelových Cen Za Matematiku
    Prvních deset Abelových cen za matematiku The first ten Abel Prizes for mathematics [English summary] In: Michal Křížek (author); Lawrence Somer (author); Martin Markl (author); Oldřich Kowalski (author); Pavel Pudlák (author); Ivo Vrkoč (author); Hana Bílková (other): Prvních deset Abelových cen za matematiku. (English). Praha: Jednota českých matematiků a fyziků, 2013. pp. 87–88. Persistent URL: http://dml.cz/dmlcz/402234 Terms of use: © M. Křížek © L. Somer © M. Markl © O. Kowalski © P. Pudlák © I. Vrkoč Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use. This document has been digitized, optimized for electronic delivery and stamped with digital signature within the project DML-CZ: The Czech Digital Mathematics Library http://dml.cz Summary The First Ten Abel Prizes for Mathematics Michal Křížek, Lawrence Somer, Martin Markl, Oldřich Kowalski, Pavel Pudlák, Ivo Vrkoč The Abel Prize for mathematics is an international prize presented by the King of Norway for outstanding results in mathematics. It is named after the Norwegian mathematician Niels Henrik Abel (1802–1829) who found that there is no explicit formula for the roots of a general polynomial of degree five. The financial support of the Abel Prize is comparable with the Nobel Prize, i.e., about one million American dollars. Niels Henrik Abel (1802–1829) M. Křížek a kol.: Prvních deset Abelových cen za matematiku, JČMF, Praha, 2013 87 Already in 1899, another famous Norwegian mathematician Sophus Lie proposed to establish an Abel Prize, when he learned that Alfred Nobel would not include a prize in mathematics among his five proposed Nobel Prizes.
    [Show full text]
  • The Cambridge Mathematical Journal and Its Descendants: the Linchpin of a Research Community in the Early and Mid-Victorian Age ✩
    View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Elsevier - Publisher Connector Historia Mathematica 31 (2004) 455–497 www.elsevier.com/locate/hm The Cambridge Mathematical Journal and its descendants: the linchpin of a research community in the early and mid-Victorian Age ✩ Tony Crilly ∗ Middlesex University Business School, Hendon, London NW4 4BT, UK Received 29 October 2002; revised 12 November 2003; accepted 8 March 2004 Abstract The Cambridge Mathematical Journal and its successors, the Cambridge and Dublin Mathematical Journal,and the Quarterly Journal of Pure and Applied Mathematics, were a vital link in the establishment of a research ethos in British mathematics in the period 1837–1870. From the beginning, the tension between academic objectives and economic viability shaped the often precarious existence of this line of communication between practitioners. Utilizing archival material, this paper presents episodes in the setting up and maintenance of these journals during their formative years. 2004 Elsevier Inc. All rights reserved. Résumé Dans la période 1837–1870, le Cambridge Mathematical Journal et les revues qui lui ont succédé, le Cambridge and Dublin Mathematical Journal et le Quarterly Journal of Pure and Applied Mathematics, ont joué un rôle essentiel pour promouvoir une culture de recherche dans les mathématiques britanniques. Dès le début, la tension entre les objectifs intellectuels et la rentabilité économique marqua l’existence, souvent précaire, de ce moyen de communication entre professionnels. Sur la base de documents d’archives, cet article présente les épisodes importants dans la création et l’existence de ces revues. 2004 Elsevier Inc.
    [Show full text]
  • Birational Geometry of Algebraic Varieties
    Proc. Int. Cong. of Math. – 2018 Rio de Janeiro, Vol. 1 (563–588) BIRATIONAL GEOMETRY OF ALGEBRAIC VARIETIES Caucher Birkar 1 Introduction This is a report on some of the main developments in birational geometry in recent years focusing on the minimal model program, Fano varieties, singularities and related topics, in characteristic zero. This is not a comprehensive survey of all advances in birational geometry, e.g. we will not touch upon the positive characteristic case which is a very active area of research. We will work over an algebraically closed field k of characteristic zero. Varieties are all quasi-projective. Birational geometry, with the so-called minimal model program at its core, aims to classify algebraic varieties up to birational isomorphism by identifying “nice” elements in each birational class and then classifying such elements, e.g study their moduli spaces. Two varieties are birational if they contain isomorphic open subsets. In dimension one, a nice element in a birational class is simply a smooth and projective element. In higher dimension though there are infinitely many such elements in each class, so picking a rep- resentative is a very challenging problem. Before going any further lets introduce the canonical divisor. 1.1 Canonical divisor. To understand a variety X one studies subvarieties and sheaves on it. Subvarieties of codimension one and their linear combinations, that is, divisors play a crucial role. Of particular importance is the canonical divisor KX . When X is smooth this is the divisor (class) whose associated sheaf OX (KX ) is the canonical sheaf !X := det ΩX where ΩX is the sheaf of regular differential forms.
    [Show full text]
  • HE WANG Abstract. a Mini-Course on Rational Homotopy Theory
    RATIONAL HOMOTOPY THEORY HE WANG Abstract. A mini-course on rational homotopy theory. Contents 1. Introduction 2 2. Elementary homotopy theory 3 3. Spectral sequences 8 4. Postnikov towers and rational homotopy theory 16 5. Commutative differential graded algebras 21 6. Minimal models 25 7. Fundamental groups 34 References 36 2010 Mathematics Subject Classification. Primary 55P62 . 1 2 HE WANG 1. Introduction One of the goals of topology is to classify the topological spaces up to some equiva- lence relations, e.g., homeomorphic equivalence and homotopy equivalence (for algebraic topology). In algebraic topology, most of the time we will restrict to spaces which are homotopy equivalent to CW complexes. We have learned several algebraic invariants such as fundamental groups, homology groups, cohomology groups and cohomology rings. Using these algebraic invariants, we can seperate two non-homotopy equivalent spaces. Another powerful algebraic invariants are the higher homotopy groups. Whitehead the- orem shows that the functor of homotopy theory are power enough to determine when two CW complex are homotopy equivalent. A rational coefficient version of the homotopy theory has its own techniques and advan- tages: 1. fruitful algebraic structures. 2. easy to calculate. RATIONAL HOMOTOPY THEORY 3 2. Elementary homotopy theory 2.1. Higher homotopy groups. Let X be a connected CW-complex with a base point x0. Recall that the fundamental group π1(X; x0) = [(I;@I); (X; x0)] is the set of homotopy classes of maps from pair (I;@I) to (X; x0) with the product defined by composition of paths. Similarly, for each n ≥ 2, the higher homotopy group n n πn(X; x0) = [(I ;@I ); (X; x0)] n n is the set of homotopy classes of maps from pair (I ;@I ) to (X; x0) with the product defined by composition.
    [Show full text]
  • 1 Getting a Knighthood
    Getting a knighthood (Bristol, June 1996) It's unreal, isn't it? I've always had a strong sense of the ridiculous, of the absurd, and this is working overtime now. Many of you must have been thinking, ‘Why Berry?’ Well, since I am the least knightly person I know, I have been asking the same question, and although I haven't come up with an answer I can offer a few thoughts. How does a scientist get this sort of national recognition? One way is to do something useful to the nation, that everyone agrees is important to the national well- being or even survival. Our home-grown example is of course Sir Charles Frank's war work. Or, one can sacrifice several years of one's life doing high-level scientific administration, not always received with gratitude by the scientific hoi polloi but important to the smooth running of the enterprise. Sir John Kingman is in this category. Another way – at least according to vulgar mythology – is to have the right family background. Well, my father drove a cab in London and my mother ruined her eyes as a dressmaker. Another way is to win the Nobel Prize or one of the other huge awards like the Wolf or King Faisal prizes, like Sir George Porter as he then was, or Sir Michael Atiyah. The principle here I suppose is, to those that have, more shall be given. I don't qualify on any of these grounds. The nearest I come is to have have won an fairly large number of smaller awards.
    [Show full text]
  • James Joseph Sylvester1
    Chapter 8 JAMES JOSEPH SYLVESTER1 (1814-1897) James Joseph Sylvester was born in London, on the 3d of September, 1814. He was by descent a Jew. His father was Abraham Joseph Sylvester, and the future mathematician was the youngest but one of seven children. He received his elementary education at two private schools in London, and his secondary education at the Royal Institution in Liverpool. At the age of twenty he entered St. John’s College, Cambridge; and in the tripos examination he came out sec- ond wrangler. The senior wrangler of the year did not rise to any eminence; the fourth wrangler was George Green, celebrated for his contributions to mathe- matical physics; the fifth wrangler was Duncan F. Gregory, who subsequently wrote on the foundations of algebra. On account of his religion Sylvester could not sign the thirty-nine articles of the Church of England; and as a consequence he could neither receive the degree of Bachelor of Arts nor compete for the Smith’s prizes, and as a further consequence he was not eligible for a fellowship. To obtain a degree he turned to the University of Dublin. After the theological tests for degrees had been abolished at the Universities of Oxford and Cam- bridge in 1872, the University of Cambridge granted him his well-earned degree of Bachelor of Arts and also that of Master of Arts. On leaving Cambridge he at once commenced to write papers, and these were at first on applied mathematics. His first paper was entitled “An analytical development of Fresnel’s optical theory of crystals,” which was published in the Philosophical Magazine.
    [Show full text]
  • A Unified Approach to Three Themes in Harmonic Analysis ($1^{St} $ Part)
    A UNIFIED APPROACH TO THREE THEMES IN HARMONIC ANALYSIS (I & II) (I) THE LINEAR HILBERT TRANSFORM AND MAXIMAL OPERATOR ALONG VARIABLE CURVES (II) CARLESON TYPE OPERATORS IN THE PRESENCE OF CURVATURE (III) THE BILINEAR HILBERT TRANSFORM AND MAXIMAL OPERATOR ALONG VARIABLE CURVES VICTOR LIE In loving memory of Elias Stein, whose deep mathematical breadth and vision for unified theories and fundamental concepts have shaped the field of harmonic analysis for more than half a century. arXiv:1902.03807v2 [math.AP] 2 Oct 2020 Date: October 5, 2020. Key words and phrases. Wave-packet analysis, Hilbert transform and Maximal oper- ator along curves, Carleson-type operators in the presence of curvature, bilinear Hilbert transform and maximal operators along curves, Zygmund’s differentiation conjecture, Car- leson’s Theorem, shifted square functions, almost orthogonality. The author was supported by the National Science Foundation under Grant No. DMS- 1500958. The most recent revision of the paper was performed while the author was supported by the National Science Foundation under Grant No. DMS-1900801. 1 2 VICTOR LIE Abstract. In the present paper and its sequel [63], we address three rich historical themes in harmonic analysis that rely fundamentally on the concept of non-zero curvature. Namely, we focus on the boundedness properties of (I) the linear Hilbert transform and maximal operator along variable curves, (II) Carleson-type operators in the presence of curvature, and (III) the bilinear Hilbert transform and maximal operator along variable curves. Our Main Theorem states that, given a general variable curve γ(x,t) in the plane that is assumed only to be measurable in x and to satisfy suitable non-zero curvature (in t) and non-degeneracy conditions, all of the above itemized operators defined along the curve γ are Lp-bounded for 1 <p< ∞.
    [Show full text]
  • Open Research Online Oro.Open.Ac.Uk
    Open Research Online The Open University’s repository of research publications and other research outputs The Gender Gap in Mathematical and Natural Sciences from a Historical Perspective Conference or Workshop Item How to cite: Barrow-Green, June; Ponce Dawson, Silvina and Roy, Marie-Françoise (2019). The Gender Gap in Mathematical and Natural Sciences from a Historical Perspective. In: Proceedings of the International Congress of Mathematicians - 2018 (Sirakov, Boyan; Ney de Souza, Paulo and Viana, Marcelo eds.), World Scientific, pp. 1073–1092. For guidance on citations see FAQs. c [not recorded] https://creativecommons.org/licenses/by-nc-nd/4.0/ Version: Accepted Manuscript Link(s) to article on publisher’s website: http://dx.doi.org/doi:10.1142/11060 Copyright and Moral Rights for the articles on this site are retained by the individual authors and/or other copyright owners. For more information on Open Research Online’s data policy on reuse of materials please consult the policies page. oro.open.ac.uk P. I. C. M. – 2018 Rio de Janeiro, Vol. (1073–1068) 1 THE GENDER GAP IN MATHEMATICAL AND NATURAL 2 SCIENCES FROM A HISTORICAL PERSPECTIVE 3 J B-G, S P D M-F R 4 5 Abstract 6 The panel organised by the Committee for Women in Mathematics (CWM) 7 of the International Mathematical Union (IMU) took place at the International nd 8 Congress of Mathematicians (ICM) on August 2 , 2018. It was attended by about 9 190 people, with a reasonable gender balance (1/4 men, 3/4 women). The panel was 10 moderated by Caroline Series, President of the London Mathematical Society and 11 Vice-Chair of CWM.
    [Show full text]
  • From Arthur Cayley Via Felix Klein, Sophus Lie, Wilhelm Killing, Elie Cartan, Emmy Noether and Superstrings to Cantorian Space–Time
    Available online at www.sciencedirect.com Chaos, Solitons and Fractals 37 (2008) 1279–1288 www.elsevier.com/locate/chaos From Arthur Cayley via Felix Klein, Sophus Lie, Wilhelm Killing, Elie Cartan, Emmy Noether and superstrings to Cantorian space–time L. Marek-Crnjac Institute of Mathematics, Physics and Mechanics, Jadranska ulica 19, P.O. Box 2964, SI-1001 Ljubljana, Slovenia Abstract In this work we present a historical overview of mathematical discoveries which lead to fundamental developments in super string theory, super gravity and finally to E-infinity Cantorian space–time theory. Cantorian space–time is a hierarchical fractal-like semi manifold with formally infinity many dimensions but a finite expectation number for these dimensions. The idea of hierarchy and self-similarity in science was first entertain by Right in the 18th century, later on the idea was repeated by Swedenborg and Charlier. Interestingly, the work of Mohamed El Naschie and his two contra parts Ord and Nottale was done independently without any knowledge of the above starting from non- linear dynamics and fractals. Ó 2008 Published by Elsevier Ltd. 1. Introduction Many of the profound mathematical discovery and dare I say also inventions which were made by the mathemati- cians Arthur Cayley, Felix Klein, Sophus Lie, Wilhelm Killing, Elie Cartan and Emmy Noether [1] are extremely important for high energy particles in general [2] as well as in the development of E-infinity, Cantorian space–time the- ory [3,4]. The present paper is dedicated to the historical background of this subject. 2. Arthur Cayley – beginner of the group theory in the modern way Arthur Cayley was a great British mathematician.
    [Show full text]