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2006 Annual Report
Contents Clay Mathematics Institute 2006 James A. Carlson Letter from the President 2 Recognizing Achievement Fields Medal Winner Terence Tao 3 Persi Diaconis Mathematics & Magic Tricks 4 Annual Meeting Clay Lectures at Cambridge University 6 Researchers, Workshops & Conferences Summary of 2006 Research Activities 8 Profile Interview with Research Fellow Ben Green 10 Davar Khoshnevisan Normal Numbers are Normal 15 Feature Article CMI—Göttingen Library Project: 16 Eugene Chislenko The Felix Klein Protocols Digitized The Klein Protokolle 18 Summer School Arithmetic Geometry at the Mathematisches Institut, Göttingen, Germany 22 Program Overview The Ross Program at Ohio State University 24 PROMYS at Boston University Institute News Awards & Honors 26 Deadlines Nominations, Proposals and Applications 32 Publications Selected Articles by Research Fellows 33 Books & Videos Activities 2007 Institute Calendar 36 2006 Another major change this year concerns the editorial board for the Clay Mathematics Institute Monograph Series, published jointly with the American Mathematical Society. Simon Donaldson and Andrew Wiles will serve as editors-in-chief, while I will serve as managing editor. Associate editors are Brian Conrad, Ingrid Daubechies, Charles Fefferman, János Kollár, Andrei Okounkov, David Morrison, Cliff Taubes, Peter Ozsváth, and Karen Smith. The Monograph Series publishes Letter from the president selected expositions of recent developments, both in emerging areas and in older subjects transformed by new insights or unifying ideas. The next volume in the series will be Ricci Flow and the Poincaré Conjecture, by John Morgan and Gang Tian. Their book will appear in the summer of 2007. In related publishing news, the Institute has had the complete record of the Göttingen seminars of Felix Klein, 1872–1912, digitized and made available on James Carlson. -
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. -
Learning from Fields Medal Winners
TechTrends DOI 10.1007/s11528-015-0011-6 COLUMN: RETHINKING TECHNOLOGY & CREATIVITY IN THE 21ST CENTURY Creativity in Mathematics and Beyond – Learning from Fields Medal Winners Rohit Mehta1 & Punya Mishra1 & Danah Henriksen2 & the Deep-Play Research Group # Association for Educational Communications & Technology 2016 For mathematicians, mathematics—like music, poetry, advanced mathematics through their work in areas as special- or painting—is a creative art. All these arts involve— ized and diverse as dynamical systems theory, the geometry of and indeed require—a certain creative fire. They all numbers, stochastic partial differential equations, and the dy- strive to express truths that cannot be expressed in ordi- namical geometry of Reimann surfaces. nary everyday language. And they all strive towards An award such as the Fields Medal is a recognition of beauty — Manjul Bhargava (2014) sustained creative effort of the highest caliber in a challenging Your personal life, your professional life, and your cre- domain, making the recipients worthy of study for scholars ative life are all intertwined — Skylar Grey interested in creativity. In doing so, we continue a long tradi- tion in creativity research – going all the way back to Galton in Every 4 years, the International Mathematical Union rec- the 19th century – of studying highly accomplished individ- ognizes two to four individuals under the age of 40 for their uals to better understand the nature of the creative process. We achievements in mathematics. These awards, known as the must point out that the focus of creativity research has shifted Fields Medal, have often been described as the “mathemati- over time, moving from an early dominant focus on genius, cian’s Nobel Prize” and serve both a form of peer-recognition towards giftedness in the middle of the 20th century, to a more of highly influential and creative mathematical work, as well contemporary emphasis on originality of thought and work as an encouragement of future achievement. -
Read Press Release
The Work of Artur Avila Artur Avila has made outstanding contributions to dynamical systems, analysis, and other areas, in many cases proving decisive results that solved long-standing open problems. A native of Brazil who spends part of his time there and part in France, he combines the strong mathematical cultures and traditions of both countries. Nearly all his work has been done through collaborations with some 30 mathematicians around the world. To these collaborations Avila brings formidable technical power, the ingenuity and tenacity of a master problem-solver, and an unerring sense for deep and significant questions. Avila's achievements are many and span a broad range of topics; here we focus on only a few highlights. One of his early significant results closes a chapter on a long story that started in the 1970s. At that time, physicists, most notably Mitchell Feigenbaum, began trying to understand how chaos can arise out of very simple systems. Some of the systems they looked at were based on iterating a mathematical rule such as 3x(1−x). Starting with a given point, one can watch the trajectory of the point under repeated applications of the rule; one can think of the rule as moving the starting point around over time. For some maps, the trajectories eventually settle into stable orbits, while for other maps the trajectories become chaotic. Out of the drive to understand such phenomena grew the subject of discrete dynamical systems, to which scores of mathematicians contributed in the ensuing decades. Among the central aims was to develop ways to predict long-time behavior. -
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. -
Rev. Acad. Colomb. Cienc. Ex. Fis. Nat. 41(160):399-400, Julio-Septiembre De 2017
Rev. Acad. Colomb. Cienc. Ex. Fis. Nat. 41(160):399-400, julio-septiembre de 2017 400 ISSN 0370-3908 eISSN 2382-4980 Academia Colombiana de Ciencias Exactas, Físicas y Naturales Vol. 41 • Número 160 • Págs. 269-412 • Julio - Septiembre de 2017 · Bogotá - Colombia Comité editorial Editora Elizabeth Castañeda, Ph. D. Instituto Nacional de Salud, Bogotá, Colombia Editores asociados Ciencias Biomédicas Ciencias Físicas Luis Fernando García, M.D., M.Sc. Pedro Fernández de Córdoba, Ph. D. Universidad de Antioquia, Medellin, Colombia Universidad Politécnica de Valencia, España Gustavo Adolfo Vallejo, Ph. D. Diógenes Campos Romero, Dr. rer. nat. Universidad del Tolima, Ibagué, Colombia Universidad Nacional de Colombia, Luis Caraballo, Ph. D. Bogotá, Colombia Universidad de Cartagena, Cartagena, Colombia Román Eduardo Castañeda, Dr. rer. nat. Juanita Ángel, Ph. D. Universidad Nacional, Medellín, Colombia Pontificia Universidad Javeriana, María Elena Gómez, Doctor Bogotá, Colombia Universidad del Valle, Cali Manuel Franco, Ph. D. Gabriel Téllez, Ph. D. Pontificia Universidad Javeriana, Bogotá, Colombia Universidad de los Andes, Bogotá, Colombia Alberto Gómez, Ph. D. Jairo Roa-Rojas, Ph. D. Pontificia Universidad Javeriana, Universidad Nacional de Colombia, Bogotá, Colombia Bogotá, Colombia John Mario González, Ph. D. Ángela Stella Camacho Beltrán, Dr. rer. nat. Universidad de los Andes, Bogotá, Colombia Universidad de los Andes, Bogotá, Colombia Ciencias del Comportamiento Hernando Ariza Calderón, Doctor Guillermo Páramo, M.Sc. Universidad del Quindío, Armenia, Colombia Universidad Central, Bogotá, Colombia Edgar González, Ph. D. Rubén Ardila, Ph. D. Pontificia Universidad Javeriana, Universidad Nacional de Colombia, Bogotá, Colombia Bogotá, Colombia Guillermo González, Ph. D. Fernando Marmolejo-Ramos, Ph. D. Universidad Industrial de Santander, Universidad de Adelaide, Adelaide, Australia Bucaramanga, Colombia Ciencias Naturales Ligia Sierra, Ph. -
Januar 2007 FØRSTE DOKTORGRAD I
INFOMATJanuar 2007 Kjære leser! FØRSTE DOKTORGRAD I INFOMAT ønsker alle et godt nytt år. MATEMATIKKDIDAKTIKK Det ble aldri noe desember- nummer. Redaktørens harddisk VED HiA hadde et fatalt sammenbrudd like før Jul og slike hendelser er altså nok til at enkelte ting stopper opp. Våre utmerkede dataingeniører ved Matematisk institutt i Oslo klarte å redde ut alle dataene, og undertegnede lærte en lekse om back-up. Science Magazine har kåret beviset for Poincaré-formod- ningen til årets vitenskapelige gjennombrudd i 2006. Aldri før har en matematikkbegiven- het blitt denne æren til del. Men Foto: Torstein Øen hyggelig er det og det er et vik- tig signal om at det ikke bare er Den 27. november disputerte indiske Sharada Gade for doktorgraden anvendt vitenskap som er be- i matematikk-didaktikk ved Høgskolen i Agder. Dette er den første tydningsfullt for samfunnet. matematikkdidaktikk-doktoren høgskolen har kreert etter at studiet ble HiA har fått kreert sin første opprettet i 2002. doktor i matematikkdidaktikk og er på full fart mot universi- Dermed er et viktig krav for å ta steget opp i universitetsklassen opp- tetsstatus! Vi gratulerer både fylt. HiA må levere doktorgrader i andre fag enn nordisk og det sørget høgskolen og den nye doktoren Sharada Gade for. Hennes avhandling dreier seg om viktigheten av Sharada Gade. mening, mål og lærerens rolle i matematikkundervisningen. hilsen Arne B. INFOMAT kommer ut med 11 nummer i året og gis ut av Norsk Matematisk Forening. Deadline for neste utgave er alltid den 10. i neste måned. Stoff til INFOMAT sendes til infomat at math.ntnu.no Foreningen har hjemmeside http://www.matematikkforeningen.no/INFOMAT Ansvarlig redaktør er Arne B. -
International Congress of Mathematicians
International Congress of Mathematicians Hyderabad, August 19–27, 2010 Abstracts Plenary Lectures Invited Lectures Panel Discussions Editor Rajendra Bhatia Co-Editors Arup Pal G. Rangarajan V. Srinivas M. Vanninathan Technical Editor Pablo Gastesi Contents Plenary Lectures ................................................... .. 1 Emmy Noether Lecture................................. ................ 17 Abel Lecture........................................ .................... 18 Invited Lectures ................................................... ... 19 Section 1: Logic and Foundations ....................... .............. 21 Section 2: Algebra................................... ................. 23 Section 3: Number Theory.............................. .............. 27 Section 4: Algebraic and Complex Geometry............... ........... 32 Section 5: Geometry.................................. ................ 39 Section 6: Topology.................................. ................. 46 Section 7: Lie Theory and Generalizations............... .............. 52 Section 8: Analysis.................................. .................. 57 Section 9: Functional Analysis and Applications......... .............. 62 Section 10: Dynamical Systems and Ordinary Differential Equations . 66 Section 11: Partial Differential Equations.............. ................. 71 Section 12: Mathematical Physics ...................... ................ 77 Section 13: Probability and Statistics................. .................. 82 Section 14: Combinatorics........................... -
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. -
Fall 2014 Newsletter
CRAIG CHANDLER/UNIVERSITY COMMUNICATIONS Celebrating 2 th Math5 Day Department gears up for event on Nov. 20 | Story, Page 4 { Fall 2014 {MMathath NNewsews A publication of the Department of Mathematics at the University of Nebraska–Lincoln VIEW FROM THE Lewis receives MAA CHAIR Gung and Hu Award im Lewis, Aaron Douglas the Gung and Hu Judy Walker JProfessor of Mathematics and Award. Having t is a gorgeous director of the Center for Science, the opportunity Ifall day here in Mathematics and Computer to contribute Lincoln: the leaves Education, is the 2015 recipient to mathematics are in brilliant yel- of the Gung and Hu Award by both at UNL and lows, oranges and the Mathematical Association of nationally has reds, and the sun is America (MAA), a professional greatly enriched shining. Shadows society that focuses on mathematics my career,” Lewis Jim Lewis are growing long, at the undergraduate level. Lewis said. and mornings are will receive the award at the 2015 Th e citation that accompanies quite brisk, but I Joint Math Meetings in San Antonio, the award recognizes Lewis for his am sitting outside in 77 degree weath- Texas, in January. outstanding contributions to the er as I write this. Th ose of you who Th e Yueh-Gin Gung mathematics education of teachers, haven’t been in downtown Lincoln for and Dr. Charles Y. Hu Award for his leadership in the mathematics a while would see some real changes. for Distinguished Service to profession and in academia at all Th e Historic Haymarket District Mathematics is the most prestigious levels, for his work increasing the visibility and participation of women has been expanded to the west – the award for service off ered by the in mathematics, for his exemplary railroad tracks have been moved to al- MAA. -
Sideorinsideorinsideo
STIHDE SECIEONCER OFI BNETTSERI ADT TEHE OHEAR RTI ONF ASNAILYDTICES O INSIDE OR OCTOBER 2014 NO 526 WHEN FRIDGES ATTACK :: INSIDE THIS MONTH ::::: SOME THOUGHTS FROM OR56 ‘MAKING AN IMPACT’ MAKES AN IMPACT RUMINATIONS ON AN UNLUCKY SPIDER DATA LAKES www.theorsociety.com OCTOBER 2014 INSIDE O.R. 02 : : : : : : : CONTENTS : : EDITORIAL : : NEWS : : : : : : : JOHN CROCKER EDITORIAL - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 02 One of my colleagues, many years ago, said that the main purpose of conferences was to ‘renew the faith’. Over the years, I have IN BRIEF - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 04 attended a good many conferences in many different countries. I SOME THOUGHTS FROM OR56 - - - - - - - - - - - - - - - - - 08 believe the first one was an OR Conference at Loughborough in 1972 when the plenary speaker was Harold Wilson, who was Leader WHAT A DIFFERENCE A ‘YEAR’ MAKES: of the Opposition at the time if my memory serves me correctly. In those days, we had a ‘banquet’ on the Wednesday evening at which PRO BONO O.R. ONE YEAR ON… - - - - - - - - - - - - - - - - 10 the men, at least, wore suits and ties and there was a rather long after-dinner speech – some things change for the better! O.R. CAREERS OPEN DAY - - - - - - - - - - - - - - - - - - - - - 12 As you will see from Frances O’Brien’s Leader, there were several BLACKETT MEMORIAL LECTURE - - - - - - - - - - - - - - - - 13 changes at this year’s conference at Royal Holloway: the full three- day programme, the extra plenary sessions, the greater involvement WHEN FRIDGES ATTACK - - - - - - - - - - - - - - - - - - - - - - 14 of the SIGs and so on. But for all that it still felt like an OR EURO 2015 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 15 Conference with its healthy mix of academics and practitioners all feeling they were doing something worthwhile. -
Journals/Notices/202003/ “Hyphen Classes” of the Form XX–00 General Refer- Rnoti-P410.Pdf Ence Works, XX–01 Introductory Expositions, XX–02
NEWSLETTER OF THE EUROPEAN MATHEMATICAL SOCIETY S E European March 2020 M M Mathematical Issue 115 E S Society ISSN 1027-488X Features Renormalisation of Stochastic PDEs Approximate Groups Interviews Freeman Dyson David Ruelle Obituary Hagen Neidhardt Freeman Dyson (photo: Dan Komoda/ IAS, Princeton, NJ USA) New books published by the Individual members of the EMS, member S societies or societies with a reciprocity agree- E European ment (such as the American, Australian and M M Mathematical Canadian Mathematical Societies) are entitled to a discount of 20% on any book purchases, if E S Society ordered directly at the EMS Publishing House. K3 Surfaces (EMS Tracts in Mathematics, Vol. 32) Shigeyuki Kondo– (Nagoya University, Japan) ISBN 978-3-03719-208-5. 2020. 252 pages. Hardcover. 17 x 24 cm. 78.00 Euro K 3 surfaces are a key piece in the classification of complex analytic or algebraic surfaces. The term was coined by A. Weil in 1958 – a result of the initials Kummer, Kähler, Kodaira, and the mountain K2 found in Karakoram. The most famous example is the Kummer surface discovered in the 19th century. K 3 surfaces can be considered as a 2-dimensional analogue of an elliptic curve, and the theory of periods – called the Torelli-type theorem for K 3 surfaces – was established around 1970. Since then, several pieces of research on K 3 sur- faces have been undertaken and more recently K 3 surfaces have even become of interest in theoretical physics. The main purpose of this book is an introduction to the Torelli-type theorem for complex analytic K 3 surfaces, and its applications.