April 1994 Council Minutes
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Program of the Sessions San Diego, California, January 9–12, 2013
Program of the Sessions San Diego, California, January 9–12, 2013 AMS Short Course on Random Matrices, Part Monday, January 7 I MAA Short Course on Conceptual Climate Models, Part I 9:00 AM –3:45PM Room 4, Upper Level, San Diego Convention Center 8:30 AM –5:30PM Room 5B, Upper Level, San Diego Convention Center Organizer: Van Vu,YaleUniversity Organizers: Esther Widiasih,University of Arizona 8:00AM Registration outside Room 5A, SDCC Mary Lou Zeeman,Bowdoin upper level. College 9:00AM Random Matrices: The Universality James Walsh, Oberlin (5) phenomenon for Wigner ensemble. College Preliminary report. 7:30AM Registration outside Room 5A, SDCC Terence Tao, University of California Los upper level. Angles 8:30AM Zero-dimensional energy balance models. 10:45AM Universality of random matrices and (1) Hans Kaper, Georgetown University (6) Dyson Brownian Motion. Preliminary 10:30AM Hands-on Session: Dynamics of energy report. (2) balance models, I. Laszlo Erdos, LMU, Munich Anna Barry*, Institute for Math and Its Applications, and Samantha 2:30PM Free probability and Random matrices. Oestreicher*, University of Minnesota (7) Preliminary report. Alice Guionnet, Massachusetts Institute 2:00PM One-dimensional energy balance models. of Technology (3) Hans Kaper, Georgetown University 4:00PM Hands-on Session: Dynamics of energy NSF-EHR Grant Proposal Writing Workshop (4) balance models, II. Anna Barry*, Institute for Math and Its Applications, and Samantha 3:00 PM –6:00PM Marina Ballroom Oestreicher*, University of Minnesota F, 3rd Floor, Marriott The time limit for each AMS contributed paper in the sessions meeting will be found in Volume 34, Issue 1 of Abstracts is ten minutes. -
Notices of the American Mathematical Society
OF THE 1994 AMS Election Special Section page 7 4 7 Fields Medals and Nevanlinna Prize Awarded at ICM-94 page 763 SEPTEMBER 1994, VOLUME 41, NUMBER 7 Providence, Rhode Island, USA ISSN 0002-9920 Calendar of AMS Meetings and Conferences This calendar lists all meetings and conferences approved prior to the date this issue insofar as is possible. Instructions for submission of abstracts can be found in the went to press. The summer and annual meetings are joint meetings with the Mathe· January 1994 issue of the Notices on page 43. Abstracts of papers to be presented at matical Association of America. the meeting must be received at the headquarters of the Society in Providence, Rhode Abstracts of papers presented at a meeting of the Society are published in the Island, on or before the deadline given below for the meeting. Note that the deadline for journal Abstracts of papers presented to the American Mathematical Society in the abstracts for consideration for presentation at special sessions is usually three weeks issue corresponding to that of the Notices which contains the program of the meeting, earlier than that specified below. Meetings Abstract Program Meeting# Date Place Deadline Issue 895 t October 28-29, 1994 Stillwater, Oklahoma Expired October 896 t November 11-13, 1994 Richmond, Virginia Expired October 897 * January 4-7, 1995 (101st Annual Meeting) San Francisco, California October 3 January 898 * March 4-5, 1995 Hartford, Connecticut December 1 March 899 * March 17-18, 1995 Orlando, Florida December 1 March 900 * March 24-25, -
Fall 2008 [Pdf]
Le Bulletin du CRM • crm.math.ca • Automne/Fall 2008 | Volume 14 – No 2 | Le Centre de recherches mathématiques The Fall 2008 Aisenstadt Chairs Four Aisenstadt Chair lecturers will visit the CRM during the 2008-2009 thematic year “Probabilistic Methods in Mathemat- ical Physics.” We report here on the series of lectures of Wendelin Werner (Université Paris-Sud 11) and Andrei Okounkov (Princeton University), both of whom are Fields Medalists, who visited the CRM in August and September 2008 respectively. The other Aisenstadt Chairs will be held by Svante Janson (Uppsala University) and Craig Tracy (University of California at Davis). Wendelin Werner Andrei Okounkov de Yvan Saint-Aubin (Université de Montréal) by John Harnad (Concordia University) Wendelin Werner est un A metaphor from an ancient fragment by Archilochus “The Fox spécialiste de la théo- knows many things but the Hedgehog knows one big thing” rie des probabilités. Il a was used by Isaiah Berlin as title and theme of his essay on Tol- obtenu son doctorat en stoy’s view of history (“. by nature a fox, but believed in be- 1993 sous la direction de ing a hedgehog”) [1]. It is also very suitably applied to styles in Jean-François Le Gall. Il science. In his presentation of the work of Andrei Okounkov est professeur au labo- when he was awarded the Fields medal at the 2006 Interna- ratoire de mathématiques tional Congress of Mathematicians in Madrid, Giovanni Felder à l’Université Paris-Sud said: “Andrei Okounkov’s initial area of research was group XI à Orsay depuis 1997, representation theory, with particular emphasis on combinato- ainsi qu’à l’École nor- rial and asymptotic aspects. -
The Geometry Center Reaches
THE NEWSLETTER OF THE MA THEMA TICAL ASSOCIATION OF AMERICA The Geometry Center Reaches Out Volume IS, Number 1 A major mission of the NSF-sponsored University of Minnesota Geometry Center is to support, develop, and promote the communication of mathematics at all levels. Last year, the center increased its efforts to reach and to educate diffe rent and dive rse groups ofpeople about the beauty and utility of mathematics. Center members Harvey Keynes and Frederick J. Wicklin describe In this Issue some recent efforts to reach the general public, professional mathematicians, high school teach ers, talented youth, and underrepresented groups in mathematics. 3 MAA President's Column Museum Mathematics Just a few years ago, a trip to the local 7 Mathematics science museum resembled a visit to Awareness Week a taxidermy shop. The halls of the science museum displayed birds of 8 Highlights from prey, bears, cougars, and moose-all stiff, stuffed, mounted on pedestals, the Joint and accompanied by "Don't Touch" Mathematics signs. The exhibits conveyed to all Meetings visitors that science was rigid, bor ing, and hardly accessible to the gen 14 NewGRE eral public. Mathematical Fortunately times have changed. To Reasoning Test day even small science museums lit erally snap, crackle, and pop with The graphical interface to a museum exhibit that allows visitors to interactive demonstrations of the explore regular polyhedra and symmetries. 20 Letters to the physics of electricity, light, and sound. Editor Visitors are encouraged to pedal, pump, and very young children to adults, so it is accessible push their way through the exhibit hall. -
NEWSLETTER No
NEWSLETTER No. 458 May 2016 NEXT DIRECTOR OF THE ISAAC NEWTON INSTITUTE In October 2016 David Abrahams will succeed John Toland as Director of the Isaac Newton Institute for Mathematical Sciences and NM Rothschild and Sons Professor of Mathematics in Cambridge. David, who is a Royal Society Wolfson Research Merit Award holder, has been Beyer Professor of Applied Mathematics at the University of Man- chester since 1998. From 2014-16 he was Scientific Director of the International Centre for Math- ematical Sciences in Edinburgh and was President of the Institute of Mathematics and its Applica- tions from 2007-2009. David’s research has been in the broad area of applied mathematics, mainly focused on the theoretical understanding of wave processes including scattering, diffraction, localisation and homogenisation. In recent years his research has broadened somewhat, to now cover topics as diverse as mathematical finance, nonlinear vis- He has also been involved in a range of public coelasticity and glaciology. He has close links with engagement activities over the years. He a number of industrial partners. regularly offers mathematics talks of interest David plays an active role within the internation- to school students and the general public, al mathematics community, having served on over and ran the annual Meet the Mathematicians 30 national and international working parties, outreach events for sixth form students with panels and committees over the past decade. Chris Howls (Southampton). With Chris Budd This has included as a Member of the Applied (Bath) he has organised a training conference Mathematics sub-panel for the 2008 Research As- in 2010 on How to Talk Maths in Public, and in sessment Exercise and Deputy Chair for the Math- 2014 co-chaired the inaugural Festival of Math- ematics sub-panel in the 2014 Research Excellence ematics and its Applications. -
Multiplicative Number Theory: the Pretentious Approach Andrew
Multiplicative number theory: The pretentious approach Andrew Granville K. Soundararajan To Marci and Waheeda c Andrew Granville, K. Soundararajan, 2014 3 Preface AG to work on: sort out / finalize? part 1. Sort out what we discuss about Halasz once the paper has been written. Ch3.3, 3.10 (Small gaps)and then all the Linnik stuff to be cleaned up; i.e. all of chapter 4. Sort out 5.6, 5.7 and chapter 6 ! Riemann's seminal 1860 memoir showed how questions on the distribution of prime numbers are more-or-less equivalent to questions on the distribution of zeros of the Riemann zeta function. This was the starting point for the beautiful theory which is at the heart of analytic number theory. Until now there has been no other coherent approach that was capable of addressing all of the central issues of analytic number theory. In this book we present the pretentious view of analytic number theory; allowing us to recover the basic results of prime number theory without use of zeros of the Riemann zeta-function and related L-functions, and to improve various results in the literature. This approach is certainly more flexible than the classical approach since it allows one to work on many questions for which L-function methods are not suited. However there is no beautiful explicit formula that promises to obtain the strongest believable results (which is the sort of thing one obtains from the Riemann zeta-function). So why pretentious? • It is an intellectual challenge to see how much of the classical theory one can reprove without recourse to the more subtle L-function methodology (For a long time, top experts had believed that it is impossible is prove the prime number theorem without an analysis of zeros of analytic continuations. -
Herbert S. Wilf (1931–2012)
Herbert S. Wilf (1931–2012) Fan Chung, Curtis Greene, Joan Hutchinson, Coordinating Editors received both the Steele Prize for Seminal Contri- butions to Research (from the AMS, 1998) and the Deborah and Franklin Tepper Haimo Award for Dis- tinguished Teaching (from the MAA, 1996). During his long tenure at Penn he advised twenty-six PhD students and won additional awards, including the Christian and Mary Lindback Award for excellence in undergraduate teaching. Other professional honors and awards included a Guggenheim Fellow- ship in 1973–74 and the Euler Medal, awarded in 2002 by the Institute for Combinatorics and its Applications. Herbert Wilf’s mathematical career can be divided into three main phases. First was numerical analysis, in which he did his PhD dissertation Photo courtesy of Ruth Wilf. (under Herbert Robbins at Columbia University Herb Wilf, Thanksgiving, 2009. in 1958) and wrote his first papers. Next was complex analysis and the theory of inequalities, in particular, Hilbert’s inequalities restricted to n Herbert S. Wilf, Thomas A. Scott Emeritus Professor variables. He wrote a cluster of papers on this topic, of Mathematics at the University of Pennsylvania, some with de Bruijn [1] and some with Harold died on January 7, 2012, in Wynnewood, PA, of Widom [2]. Wilf’s principal research focus during amyotrophic lateral sclerosis (ALS). He taught at the latter part of his career was combinatorics. Penn for forty-six years, retiring in 2008. He was In 1965 Gian-Carlo Rota came to the University widely recognized both for innovative research of Pennsylvania to give a colloquium talk on his and exemplary teaching: in addition to receiving then-recent work on Möbius functions and their other awards, he is the only mathematician to have role in combinatorics. -
2015 Newsletter
2015 NEWSLETTER DEPARTMENT OF MATHEMATICS This newsletter is published annually for alumni & friends of Mathematics at the University of Washington 1 as an associate professor. In addition to his outstanding research and teaching, Jayadev founded and ran the Illinois Geometry Lab, which brought faculty and graduate students together with undergraduates to As I approach the halfway point of my term as chair, I continue foster undergraduate research. In addition, it engaged to delight in the successes of our students and faculty. You community members across the state with activities will learn about these stories in the pages that follow. Let me from Urbana-Champaign to Chicago. Jayadev has preview some of them here. begun to establish a similar program—the Washington Experimental Mathematics Lab—here. I can’t wait to For the sixth year in a row and the twelfth year in the past see the results. fourteen, one of our math majors received the Dean’s Medal in the Natural Sciences. I imagined that our streak couldn’t Inevitably, in parallel with the arrival of the new continue, but that was before I received letters of support comes the departure of others. This year, we lost Albert for David Jekel from faculty in both Math and Classics, his Nijenhuis, a member of our faculty from 1956 to 1964 other major. I knew then that we had a winner, given that the before moving to the University of Pennsylvania, and Classics faculty were as in awe of David’s talents as our own. then an affiliate faculty member upon retirement, when He is now off to UCLA to continue his mathematical studies. -
EPADEL a Semisesquicentennial History, 1926-2000
EPADEL A Semisesquicentennial History, 1926-2000 David E. Zitarelli Temple University An MAA Section viewed as a microcosm of the American mathematical community in the twentieth century. Raymond-Reese Book Company Elkins Park PA 19027 Author’s address: David E. Zitarelli Department of Mathematics Temple University Philadelphia, PA 19122 e-mail: [email protected] Copyright © (2001) by Raymond-Reese Book Company, a division of Condor Publishing, Inc. All rights reserved. No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photography, recording, or any information storage retrieval system, without written permission from the publisher. Requests for permission to make copies of any part of the work should be mailed to Permissions, Raymond-Reese Book Company, 307 Waring Road, Elkins Park, PA 19027. Printed in the United States of America EPADEL: A Sesquicentennial History, 1926-2000 ISBN 0-9647077-0-5 Contents Introduction v Preface vii Chapter 1: Background The AMS 1 The Monthly 2 The MAA 3 Sections 4 Chapter 2: Founding Atlantic Apathy 7 The First Community 8 The Philadelphia Story 12 Organizational Meeting 13 Annual Meeting 16 Profiles: A. A. Bennett, H. H. Mitchell, J. B. Reynolds 21 Chapter 3: Establishment, 1926-1932 First Seven Meetings 29 Leaders 30 Organizational Meeting 37 Second Meeting 39 Speakers 40 Profiles: Arnold Dresden, J. R. Kline 48 Chapter 4: Émigrés, 1933-1941 Annual Meetings 53 Leaders 54 Speakers 59 Themes of Lectures 61 Profiles: Hans Rademacher, J. A. Shohat 70 Chapter 5: WWII and its Aftermath, 1942-1955 Annual Meetings 73 Leaders 76 Presenters 83 Themes of Lectures 89 Profiles: J. -
Problem Books in Mathematics
Problem Books in Mathematics Edited by P. R. Halmos Problem Books in Mathematics Series Editor: P.R. Halmos Polynomials by Edward I. Barbeau Problems in Geometry by Marcel Berger. Pierre Pansu. lean-Pic Berry. and Xavier Saint-Raymond Problem Book for First Year Calculus by George W. Bluman Exercises in Probabillty by T. Cacoullos An Introduction to HUbet Space and Quantum Logic by David W. Cohen Unsolved Problems in Geometry by Hallard T. Crofi. Kenneth I. Falconer. and Richard K. Guy Problems in Analysis by Bernard R. Gelbaum Problems in Real and Complex Analysis by Bernard R. Gelbaum Theorems and Counterexamples in Mathematics by Bernard R. Gelbaum and lohn M.H. Olmsted Exercises in Integration by Claude George Algebraic Logic by S.G. Gindikin Unsolved Problems in Number Theory (2nd. ed) by Richard K. Guy An Outline of Set Theory by lames M. Henle Demography Through Problems by Nathan Keyjitz and lohn A. Beekman (continued after index) Unsolved Problems in Intuitive Mathematics Volume I Richard K. Guy Unsolved Problems in Number Theory Second Edition With 18 figures Springer Science+Business Media, LLC Richard K. Guy Department of Mathematics and Statistics The University of Calgary Calgary, Alberta Canada, T2N1N4 AMS Classification (1991): 11-01 Library of Congress Cataloging-in-Publication Data Guy, Richard K. Unsolved problems in number theory / Richard K. Guy. p. cm. ~ (Problem books in mathematics) Includes bibliographical references and index. ISBN 978-1-4899-3587-8 1. Number theory. I. Title. II. Series. QA241.G87 1994 512".7—dc20 94-3818 © Springer Science+Business Media New York 1994 Originally published by Springer-Verlag New York, Inc. -
Beckenbach Book Prize
MATHEMATICAL ASSOCIATION OF AMERICA MATHEMATICAL ASSOCIATION OF AMERICA BECKENBACH BOOK PRIZE HE BECKENBACH BOOK PRIZE, established in 1986, is the successor to the MAA Book Prize established in 1982. It is named for the late Edwin T Beckenbach, a long-time leader in the publications program of the Association and a well-known professor of mathematics at the University of California at Los Angeles. The prize is intended to recognize the author(s) of a distinguished, innovative book published by the MAA and to encourage the writing of such books. The award is not given on a regularly scheduled basis. To be considered for the Beckenbach Prize a book must have been published during the five years preceding the award. CITATION Nathan Carter Bentley University Introduction to the Mathematics of Computer Graphics, Mathematical Associa- tion of America (2016) The Oxford logician Charles Dodgson via his famed Alice character rhetorically asked, “Of what use is a book without pictures?” And most of us believe that a picture is worth a thousand words. In the same spirit, Nathan Carter in his Introduction to the Mathematics of Computer Graphics has given us a how-to book for creating stunning, informative, and insightful imagery. In an inviting and readable style, Carter leads us through a cornucopia of mathematical tricks and structure, illustrating them step-by-step with the freeware POV-Ray—an acronym for Persistence of Vision Raytracer. Each section of his book starts with a natural question: Why is this fun? Of course, the answer is a striking image or two—to which a reader’s impulsive response is, How might I do that? Whereupon, Carter proceeds to demonstrate. -
It's As Easy As
It’s As Easy As abc Andrew Granville and Thomas J. Tucker Fermat’s Last Theorem (2) xp−1x + yp−1y = zp−1z. In this age in which mathematicians are supposed to bring their research into the classroom, even at We now have two linear equations (1) and (2) (think- ing of xp−1, yp−1, and zp−1 as our variables), which the most elementary level, it is rare that we can turn suggests using linear algebra to eliminate a vari- the tables and use our elementary teaching to help able: Multiply (1) by y and (2) by y, and subtract in our research. However, in giving a proof of Fer- to get mat’s Last Theorem, it turns out that we can use tools from calculus and linear algebra only. This xp−1(xy − yx)=zp−1(zy − yz). may strike some readers as unlikely, but bear with p−1 p−1 − us for a few moments as we give our proof. Therefore x divides z (zy yz ), but since x and z have no common factors, this implies that Fermat claimed that there are no solutions to (3) xp−1 divides zy − yz. (1) xp + yp = zp This is a little surprising, for if zy − yz is nonzero, for p ≥ 3, with x, y, and z all nonzero. If we assume then a high power of x divides zy − yz, something that there are solutions to (1), then we can assume that does not seem consistent with (1). that x, y, and z have no common factor, else we We want to be a little more precise.