NEWSLETTER Issue: 493 - March 2021
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
Placing World War I in the History of Mathematics David Aubin, Catherine Goldstein
Placing World War I in the History of Mathematics David Aubin, Catherine Goldstein To cite this version: David Aubin, Catherine Goldstein. Placing World War I in the History of Mathematics. 2013. hal- 00830121v1 HAL Id: hal-00830121 https://hal.sorbonne-universite.fr/hal-00830121v1 Preprint submitted on 4 Jun 2013 (v1), last revised 8 Jul 2014 (v2) HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Placing World War I in the History of Mathematics David Aubin and Catherine Goldstein Abstract. In the historical literature, opposite conclusions were drawn about the impact of the First World War on mathematics. In this chapter, the case is made that the war was an important event for the history of mathematics. We show that although mathematicians' experience of the war was extremely varied, its impact was decisive on the life of a great number of them. We present an overview of some uses of mathematics in war and of the development of mathematics during the war. We conclude by arguing that the war also was a crucial factor in the institutional modernization of mathematics. Les vrais adversaires, dans la guerre d'aujourd'hui, ce sont les professeurs de math´ematiques`aleur table, les physiciens et les chimistes dans leur laboratoire. -
Numerical Computation with Rational Functions
NUMERICAL COMPUTATION WITH RATIONAL FUNCTIONS (scalars only) Nick Trefethen, University of Oxford and ENS Lyon + thanks to Silviu Filip, Abi Gopal, Stefan Güttel, Yuji Nakatsukasa, and Olivier Sète 1/26 1. Polynomial vs. rational approximations 2. Four representations of rational functions 2a. Quotient of polynomials 2b. Partial fractions 2c. Quotient of partial fractions (= barycentric) 2d. Transfer function/matrix pencil 3. The AAA algorithm with Nakatsukasa and Sète, to appear in SISC 4. Application: conformal maps with Gopal, submitted to Numer. Math. 5. Application: minimax approximation with Filip, Nakatsukasa, and Beckermann, to appear in SISC 6. Accuracy and noise 2/26 1. Polynomial vs. rational approximation Newman, 1964: approximation of |x| on [−1,1] −휋 푛 퐸푛0 ~ 0.2801. ./푛 , 퐸푛푛 ~ 8푒 Poles and zeros of r: exponentially clustered near x=0, exponentially diminishing residues. Rational approximation is nonlinear, so algorithms are nontrivial. poles There may be nonuniqueness and local minima. type (20,20) 3/26 2. Four representations of rational functions Alpert, Carpenter, Coelho, Gonnet, Greengard, Hagstrom, Koerner, Levy, Quotient of polynomials 푝(푧)/푞(푧) SK, IRF, AGH, ratdisk Pachón, Phillips, Ruttan, Sanathanen, Silantyev, Silveira, Varga, White,… 푎푘 Beylkin, Deschrijver, Dhaene, Drmač, Partial fractions 푧 − 푧 VF, exponential sums Greengard, Gustavsen, Hochman, 푘 Mohlenkamp, Monzón, Semlyen,… Berrut, Filip, Floater, Gopal, Quotient of partial fractions 푛(푧)/푑(푧) Floater-Hormann, AAA Hochman, Hormann, Ionita, Klein, Mittelmann, Nakatsukasa, Salzer, (= barycentric) Schneider, Sète, Trefethen, Werner,… 푇 −1 Antoulas, Beattie, Beckermann, Berljafa, Transfer function/matrix pencil 푐 푧퐵 − 퐴 푏 IRKA, Loewner, RKFIT Druskin, Elsworth, Gugercin, Güttel, Knizhnerman, Meerbergen, Ruhe,… Sometimes the boundaries are blurry! 4/26 2a. -
The David Crighton Lecture Professor Frank Kelly CBE FRS Thursday 12 May 2016 at 6.15 P.M
The David Crighton Lecture Professor Frank Kelly CBE FRS Thursday 12 May 2016 at 6.15 p.m. followed by a reception at The Royal Society, Carlton House Terrace, London, SW1Y 5AG Registration will open at 5.45 p.m. Mathematics and Financial Markets Abstract: A substantial proportion of mathematics graduates, at both first degree and doctoral level, enter the financial services sector. This is hardly surprising given the importance of the sector to the economy, and the role of mathematical modelling in the valuation of instruments and the assessment of risk. What is striking is that, with some notable exceptions, few mathematicians have been actively engaged in the design of financial markets. This is undoubtedly a serious challenge with parallels from other large-scale complex networks: to design a distributed system, linking self-interested and intelligent agents, so that the outcome is effective and efficient. How would an ideal market operate, to allow liquidity between long-term investors to be provided by short- term traders? In the second part of the talk I outline some preliminary work, joint with Elena Yudovina, on this question. I describe a simplified and analytically tractable model of a limit order book where the dynamics are driven by stochastic fluctuations between supply and demand. The model has a natural interpretation for a highly traded market on short time scales where there is a separation between the time scale of trading, represented in the model, and a longer time scale on which fundamentals change. There has been considerable discussion recently of the effects of competition between multiple high- frequency traders, and of proposals aimed to slow down markets. -
LMS – EPSRC Durham Symposium
LMS – EPSRC Durham Symposium Anthony Byrne Grants and Membership Administrator 12th July 2016, Durham The work of the LMS for mathematics The charitable aims of the Society: Funding the advancement of mathematical knowledge Encouraging mathematical research and collaboration ’, George Legendre Celebrating mathematical 30 Pieces achievements Publishing and disseminating mathematical knowledge Advancing and promoting mathematics The attendees of the Young Researchers in Mathematics Conference 2015, held at Oxford Historical Moments of the London Mathematical Society 1865 Foundation of LMS at University College London George Campbell De Morgan organised the first meeting, and his father, Augustus De Morgan became the 1st President 1865 First minute book list of the 27 original members 1866 LMS moves to Old Burlington House, Piccadilly J.J. Sylvester, 2nd President of the Society. 1866 Julius Plûcker Thomas Hirst Plûcker Collection of boxwood models of quartic surfaces given to Thomas Archer Hirst, Vice- President of LMS, and donated to the Society 1870 Move to Asiatic Society, 22 Albemarle Street William Spottiswoode, President 1874 Donation of £1,000 from John William Strutt (Lord Rayleigh) Generous donation enabled the Society to publish volumes of the Proceedings of the London Mathematical Society. J.W. Strutt (Lord Rayleigh), LMS President 1876-78 1881 First women members Charlotte Angas Scott and Christine Ladd 1884 First De Morgan medal awarded to Arthur Cayley 1885 Sophie Bryant First woman to have a paper published in LMS Proceedings 1916 Return to Burlington House the home of LMS until 1998 1937 ACE ’s Automatic Turing LMS Proceedings, 1937 Computing Engine, published Alan Turing’s first paper 1950 On Computable Numbers 1947 Death of G.H. -
November, 2019 1 Petia M. Vlahovska Department of Engineering
November, 2019 Petia M. Vlahovska Department of Engineering Sciences and Applied Mathematics McCormick School of Engineering and Applied Science Northwestern University 2145 Sheridan Road Evanston, IL 60208, USA email: [email protected] web: http://people.esam.northwestern.edu/~vlahovska Tel. /office/ +1 (847) 491-8782 Research Interests: fluid-structure interaction in Stokes flow, interfacial flows, electrohydrodynamics, active fluids, soft matter, rheology, mechanics of biomembranes. 1 Education 8/03 Ph.D. Chemical Engineering, Yale University. Thesis: “Dynamics of a surfactant-covered drop and the non-Newtonian rheology of emulsions” Advisors: Prof. Michael Loewenberg and Prof. Jerzy Blawzdziewicz 2001 M.Phil. Mechanical Engineering, Yale University 1999 M.S. Chemical Engineering, Yale University 6/96 M.Sc. Post-graduate program in “Separation processes in the industry and environmental protection” Laboratory of Chemical Physics and Engineering (renamed to Department of Chemical Engineering), University of Sofia “St. Kliment Ohridski”, Bulgaria Thesis: “Modeling the drying of solvent coatings on continuous webs” Advisors: Dr. Richard Aust and Prof. Franz Durst (LSTM, University of Erlangen, Germany), Prof. Krassimir Danov (University of Sofia, Bulgaria) 6/94 M.Sc. Chemistry, University of Sofia “St. Kliment Ohridski” (Bulgaria) Concentration: chemical physics and theoretical chemistry Thesis: “Diffusion-controlled adsorption kinetics in micellar surfactant solutions” Advisor: Prof. Krassimir Danov 2 Professional appointments -
An Extension of Matlab to Continuous Functions and Operators∗
SIAM J. SCI. COMPUT. c 2004 Society for Industrial and Applied Mathematics Vol. 25, No. 5, pp. 1743–1770 AN EXTENSION OF MATLAB TO CONTINUOUS FUNCTIONS AND OPERATORS∗ † † ZACHARY BATTLES AND LLOYD N. TREFETHEN Abstract. An object-oriented MATLAB system is described for performing numerical linear algebra on continuous functions and operators rather than the usual discrete vectors and matrices. About eighty MATLAB functions from plot and sum to svd and cond have been overloaded so that one can work with our “chebfun” objects using almost exactly the usual MATLAB syntax. All functions live on [−1, 1] and are represented by values at sufficiently many Chebyshev points for the polynomial interpolant to be accurate to close to machine precision. Each of our overloaded operations raises questions about the proper generalization of familiar notions to the continuous context and about appropriate methods of interpolation, differentiation, integration, zerofinding, or transforms. Applications in approximation theory and numerical analysis are explored, and possible extensions for more substantial problems of scientific computing are mentioned. Key words. MATLAB, Chebyshev points, interpolation, barycentric formula, spectral methods, FFT AMS subject classifications. 41-04, 65D05 DOI. 10.1137/S1064827503430126 1. Introduction. Numerical linear algebra and functional analysis are two faces of the same subject, the study of linear mappings from one vector space to another. But it could not be said that mathematicians have settled on a language and notation that blend the discrete and continuous worlds gracefully. Numerical analysts favor a concrete, basis-dependent matrix-vector notation that may be quite foreign to the functional analysts. Sometimes the difference may seem very minor between, say, ex- pressing an inner product as (u, v)orasuTv. -
Notices of the American Mathematical Society
• ISSN 0002-9920 March 2003 Volume 50, Number 3 Disks That Are Double Spiral Staircases page 327 The RieITlann Hypothesis page 341 San Francisco Meeting page 423 Primitive curve painting (see page 356) Education is no longer just about classrooms and labs. With the growing diversity and complexity of educational programs, you need a software system that lets you efficiently deliver effective learning tools to literally, the world. Maple® now offers you a choice to address the reality of today's mathematics education. Maple® 8 - the standard Perfect for students in mathematics, sciences, and engineering. Maple® 8 offers all the power, flexibility, and resources your technical students need to manage even the most complex mathematical concepts. MapleNET™ -- online education ,.u A complete standards-based solution for authoring, nv3a~ _r.~ .::..,-;.-:.- delivering, and managing interactive learning modules \~.:...br *'r¥'''' S\l!t"AaITI(!\pU;; ,"", <If through browsers. Derived from the legendary Maple® .Att~~ .. <:t~~::,/, engine, MapleNefM is the only comprehensive solution "f'I!hlislJer~l!'Ct"\ :5 -~~~~~:--r---, for distance education in mathematics. Give your institution and your students cornpetitive edge. For a FREE 3D-day Maple® 8 Trial CD for Windows®, or to register for a FREE MapleNefM Online Seminar call 1/800 R67.6583 or e-mail [email protected]. ADVANCING MATHEMATICS WWW.MAPLESOFT.COM I [email protected]\I I WWW.MAPLEAPPS.COM I NORTH AMERICAN SALES 1/800 267. 6583 © 2003 Woter1oo Ma')Ir~ Inc Maple IS (J y<?glsterc() crademork of Woterloo Maple he Mar)leNet so troc1ema'k of Woter1oc' fV'lop'e Inr PII other trcde,nork$ (ye property o~ their respective ('wners Generic Polynomials Constructive Aspects of the Inverse Galois Problem Christian U. -
WINTER 2015 the Brick Architecture
B B R R I I C C K K B B U U L L L L E E T T I I N N The brick architecture of Kirkland Fraser Moor | First person: Alex Gordon of Jestico & Whiles Masonry masterpieces: 2015 Brick Awards | Satish Jassal Architects in London; SO-IL in New York WINTER 2015 Sutherland Hussey Harris in St Andrews | Acme’s prefabricated ‘pleated’ brick panels in Leeds 2 • BB WINTER 2015 BriCk Bulletin winter 2015 Contents 4 NEWS/FIRST PERSON New brick projects by Sergison Bates and Herzog &deMeurOn; First Person –Alex Gordon of Jestico &Whiles on brick’s ability to harmonise modern interventions with traditional contexts. 6 BRICK AWARDS 2015 Showcase of all 15 category winners. 12 PROJECTS Diego Arraigada Arquitectos, Alma-nac, Feilden Fowles, PollardThomas Edwards, Sutherland Hussey Harris, SO-IL,Make, Satish Jassal Architects, and TDO Architecture. 20 PROFILE David Kirkland discusses Kirkland Fraser Moor’s fascination with clay building products and vernacular design. 26 PRECEDENT Geraint Franklin on HKPA’sHouses for Visiting Mathematicians at the University of Warwick. 28 TECHNICAL The wave-likefacade of Marlies Rohmer’s Sportblok in Groningen, Holland, is constructed from brick-slips. 30 TECHNICAL Prefabricated ‘pleated’ brick panels articulate the exterior of amajor retail-led development in Leeds by Acme. extraordinary from the ordinary The ubiquity of brick means that it is all too easy to overlook its aesthetic qualities, performance benefits and historic importance. Not so David Kirkland of Kirkland Fraser Moor (p20-25), who marvels at the cleverness of being able to takeclay from the ground and, by way of making bricks, produce architecture. -
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 -
Vol 21, No 3, July
THE LINNEAN N e wsletter and Pr oceedings of THE LINNEAN SOCIETY OF LONDON Bur lington House , Piccadill y, London W1J 0BF VOLUME 21 • NUMBER 3 • JULY 2005 THE LINNEAN SOCIETY OF LONDON Burlington House, Piccadilly, London W1J 0BF Tel. (+44) (0)20 7434 4479; Fax: (+44) (0)20 7287 9364 e-mail: [email protected]; internet: www.linnean.org President Secretaries Council Professor Gordon McG Reid BOTANICAL The Officers and Dr John R Edmondson Dr Louise Allcock President-elect Prof John R Barnett Professor David F Cutler ZOOLOGICAL Prof Janet Browne Dr Vaughan R Southgate Dr J Sara Churchfield Vice-Presidents Dr John C David Professor Richard M Bateman EDITORIAL Prof Peter S Davis Dr Jenny M Edmonds Professor David F Cutler Dr Aljos Farjon Dr Vaughan R Southgate Dr Michael F Fay COLLECTIONS Dr D J Nicholas Hind Treasurer Mrs Susan Gove Dr Sandra D Knapp Professor Gren Ll Lucas OBE Dr D Tim J Littlewood Dr Keith N Maybury Executive Secretary Librarian & Archivist Dr Brian R Rosen Mr Adrian Thomas OBE Miss Gina Douglas Dr Roger A Sweeting Office/Facilities Manager Deputy Librarian Mr Dominic Clark Mrs Lynda Brooks Finance Library Assistant Conservator Mr Priya Nithianandan Mr Matthew Derrick Ms Janet Ashdown THE LINNEAN Newsletter and Proceedings of the Linnean Society of London Edited by B G Gardiner Editorial .................................................................................................................... 1 Society News ........................................................................................................... -
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. -
ONE HUNDRED YEARS of COMPLEX DYNAMICS the Subject of Complex Dynamics, That Is, the Behaviour of Orbits of Holomorphic Functions
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by University of Liverpool Repository ONE HUNDRED YEARS OF COMPLEX DYNAMICS MARY REES The subject of Complex Dynamics, that is, the behaviour of orbits of holomorphic functions, emerged in the papers produced, independently, by Fatou and Julia, almost 100 years ago. Although the subject of Dynami- cal Systems did not then have a name, the dynamical properties found for holomorphic systems, even in these early researches, were so striking, so unusually comprehensive, and yet so varied, that these systems still attract widespread fascination, 100 years later. The first distinctive feature of iter- ation of a single holomorphic map f is the partition of either the complex plane or the Riemann sphere into two sets which are totally invariant under f: the Julia set | closed, nonempty, perfect, with dynamics which might loosely be called chaotic | and its complement | open, possibly empty, but, if non-empty, then with dynamics which were completely classified by the two pioneering researchers, modulo a few simply stated open questions. Before the subject re-emerged into prominence in the 1980's, the Julia set was alternately called the Fatou set, but Paul Blanchard introduced the idea of calling its complement the Fatou set, and this was immediately universally accepted. Probably the main reason for the remarkable rise in interest in complex dynamics, about thirty-five years ago, was the parallel with the subject of Kleinian groups, and hence with the whole subject of hyperbolic geome- try. A Kleinian group acting on the Riemann sphere is a dynamical system, with the sphere splitting into two disjoint invariant subsets, with the limit set and its complement, the domain of discontinuity, having exactly similar properties to the Julia and Fatou sets.