Women Mathematicians at Berkeley—The Early Years
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MAA AMC 8 Summary of Results and Awards
The Mathematical Association of America AMERICAN MatHEmatICS COMPETITIONS 2006 22nd Annual MAA AMC 8 Summary of Results and Awards Learning Mathematics Through Selective Problem Solving Examinations prepared by a subcommittee of the American Mathematics Competitions and administered by the office of the Director The American Mathematics Competitions are sponsored by The Mathematical Association of America and The Akamai Foundation Contributors: American Mathematical Association of Two Year Colleges American Mathematical Society American Society of Pension Actuaries American Statistical Association Art of Problem Solving Awesome Math Canada/USA Mathcamp Canada/USA Mathpath Casualty Actuarial Society Clay Mathematics Institute Institute for Operations Research and the Management Sciences L. G. Balfour Company Mu Alpha Theta National Assessment & Testing National Council of Teachers of Mathematics Pedagoguery Software Inc. Pi Mu Epsilon Society of Actuaries U.S.A. Math Talent Search W. H. Freeman and Company Wolfram Research Inc. TABLE OF CONTENTS 2006 IMO Team with their medals ................................................................... 2 Report of the Director ..........................................................................................3 I. Introduction .................................................................................................... 3 II. General Results ............................................................................................. 3 III. Statistical Analysis of Results ....................................................................... -
The Association for Women in Mathematics: How and Why It Was
Mathematical Communities t’s 2011 and the Association for Women in Mathematics The Association (AWM) is celebrating 40 years of supporting and II promoting female students, teachers, and researchers. It’s a joyous occasion filled with good food, warm for Women conversation, and great mathematics—four plenary lectures and eighteen special sessions. There’s even a song for the conference, titled ‘‘((3 + 1) 9 3 + 1) 9 3 + 1 Anniversary in Mathematics: How of the AWM’’ and sung (robustly!) to the tune of ‘‘This Land is Your Land’’ [ICERM 2011]. The spirit of community and and Why It Was the beautiful mathematics on display during ‘‘40 Years and Counting: AWM’s Celebration of Women in Mathematics’’ are truly a triumph for the organization and for women in Founded, and Why mathematics. It’s Still Needed in the 21st Century SARAH J. GREENWALD,ANNE M. LEGGETT, AND JILL E. THOMLEY This column is a forum for discussion of mathematical communities throughout the world, and through all time. Our definition of ‘‘mathematical community’’ is Participants from the Special Session in Number Theory at the broadest: ‘‘schools’’ of mathematics, circles of AWM’s 40th Anniversary Celebration. Back row: Cristina Ballantine, Melanie Matchett Wood, Jackie Anderson, Alina correspondence, mathematical societies, student Bucur, Ekin Ozman, Adriana Salerno, Laura Hall-Seelig, Li-Mei organizations, extra-curricular educational activities Lim, Michelle Manes, Kristin Lauter; Middle row: Brooke Feigon, Jessica Libertini-Mikhaylov, Jen Balakrishnan, Renate (math camps, math museums, math clubs), and more. Scheidler; Front row: Lola Thompson, Hatice Sahinoglu, Bianca Viray, Alice Silverberg, Nadia Heninger. (Photo Cour- What we say about the communities is just as tesy of Kiran Kedlaya.) unrestricted. -
Introduction
Copyrighted Material Introduction This book, unlike most books on mathematics, is about math- ematicians, their extraordinary passion for mathematics and their full complexity of being. We emphasize the social and emotional sides of mathematical life. In the great and famous works of Euclid and Newton, we find axioms and theorems. The mathematics seems to speak for itself. No first person speaks, no second person is addressed: “Here is Truth, here is Proof, no more need be said.” Going back to the reports of Plato and Descartes, mathematical think- ing has been seen as pure reason–a perfect and eternal faculty. The thoughts, feelings, and tribulations of the mathematician are not included. But it doesn’t take deep reflection to realize that this perfec- tion is a human creation. Mathematics is an artifact created by thinking creatures of flesh and blood. Indeed, this fact has al- ways been known to poets, novelists, and dramatists. Math- ematicians, like all people, think socially and emotionally in the categories of their time and place and culture. In any great en- deavor, such as the structuring of mathematical knowledge, we bring all of our humanity to the work. Along with reasoning, the work includes the joy of discovery, the struggle with uncer- tainty, and many other emotions. And it is shaped by social real- ities, including war, political oppression, sexism, and racism, as they have affected society and mathematicians in different eras. Today the connection between thought and emotion is a ma- jor active field of scientific research. Recently the neuroscientist Antonio Damasio and a collaborator wrote, “Modern biol- ogy reveals humans to be fundamentally emotional and social Copyrighted Material • intrODUCTION creatures. -
Contemporary Mathematics 78
CONTEMPORARY MATHEMATICS 78 Braids Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Artin's Braid Group held July 13-26. 1986 at the University of California, Santa Cruz, California Joan S. Birman Anatoly Libgober Editors http://dx.doi.org/10.1090/conm/078 Recent Titles in This Series 120 Robert S. Doran, Editor, Selfadjoint and nonselfadjoint operator algebras and operator theory, 1991 119 Robert A. Melter, Azriel Rosenfeld, and Prabir Bhattacharya, Editors, Vision geometry, 1991 118 Yan Shi-Jian, Wang Jiagang, and Yang Chung-chun, Editors, Probability theory and its applications in China, 1991 117 Morton Brown, Editor, Continuum theory and dynamical systems, 1991 116 Brian Harboume and Robert Speiser, Editors, Algebraic geometry: Sundance 1988, 1991 115 Nancy Flournoy an'il Robert K. Tsutakawa, Editors, Statistical multiple integration, 1991 114 Jeffrey C. Lagarias and Michael J. Todd, Editors, Mathematical developments arising from linear programming, 1990 113 Eric Grinberg and Eric Todd Quinto, Editors, Integral geometry and tomography, 1990 112 Philip J. Brown and Wayne A. Fuller, Editors, Statistical analysis of measurement error models and applications, 1990 Ill Earl S. Kramer and Spyros S. Magliveras, Editors, Finite geometries and combinatorial designs, I 990 II 0 Georgia Benkart and J. Marshall Osborn, Editors, Lie algebras and related topics, 1990 109 Benjamin Fine, Anthony Gaglione, and Francis C. Y. Tang, Editors, Combinatorial group theory, 1990 108 Melvyn S. Berger, Editor, Mathematics of nonlinear science, 1990 107 Mario Milman and Tomas Schonbek, Editors, Harmonic analysis and partial differential equations, 1990 I 06 Wilfried Sieg, Editor, Logic and computation, 1990 I 05 Jerome Kaminker, Editor, Geometric and topological invariants of elliptic operators, 1990 I 04 Michael Makkai and Robert Pare, Accessible categories: The foundations of categorical model theory, 1989 I 03 Steve Fisk, Coloring theories, 1989 I 02 Stephen McAdam, Primes associated to an ideal, 1989 101 S.-Y. -
President's Report
Newsletter VOLUME 43, NO. 6 • NOVEMBER–DECEMBER 2013 PRESIDENT’S REPORT As usual, summer flew by all too quickly. Fall term is now in full swing, and AWM is buzzing with activity. Advisory Board. The big news this fall is the initiation of an AWM Advisory Board. The Advisory Board, first envisioned under Georgia Benkart’s presidency, con- The purpose of the Association for Women in Mathematics is sists of a diverse group of individuals in mathematics and related disciplines with distinguished careers in academia, industry, or government. Through their insights, • to encourage women and girls to breadth of experience, and connections with broad segments of the mathematical study and to have active careers in the mathematical sciences, and community, the Board will seek to increase the effectiveness of AWM, help with fund- • to promote equal opportunity and raising, and contribute to a forward-looking vision for the organization. the equal treatment of women and Members of the Board were selected to represent a broad spectrum of academia girls in the mathematical sciences. and industry. Some have a long history with AWM, and others are new to the orga- nization; all are committed to forwarding our goals. We are pleased to welcome the following Board members: Mary Gray, Chair (American University) Jennifer Chayes (Microsoft Research) Nancy Koppel (Boston University) Irwin Kra (Stony Brook University) Joan Leitzel (University of New Hampshire, Ohio State University) Jill Mesirov (Broad Institute) Linda Ness (Applied Communication Sciences) Richard Schaar (Texas Instruments) IN THIS ISSUE Mary Spilker (Pfizer) Jessica Staddon (Google) 4 AWM Election 14 Benkart Named In addition, the President, Past President (or President Elect) and Executive Noether Lecturer Director of AWM are also members of the Board. -
Representations of Finite Groups
Mathematisches Forschungsinstitut Oberwolfach Report No. 15/2006 Representations of Finite Groups Organised by Alexander S. Kleshchev (Eugene) Markus Linckelmann (Aberdeen) Gunter Malle (Kaiserslautern) Jeremy Rickard (Bristol) March 26th – April 1st, 2006 Abstract. The workshop ”Representations of finite groups” was organized by A. Kleshchev (Eugene), M. Linckelmann (Aberdeen), G. Malle (Kaiser- slautern) and J. Rickard (Bristol). It covered a wide variety of aspects of the representation theory of finite groups and related objects like Hecke algebras. Mathematics Subject Classification (2000): 20-06 20Cxx. Introduction by the Organisers The meeting was organized by A. Kleshchev (Eugene), M. Linckelmann (Ab- erdeen), G. Malle (Kaiserslautern) and J. Rickard (Bristol). This meeting was attended by over 50 participants with broad geographic representation. It covered a wide variety of aspects of the representation theory of finite groups and related objects like Hecke algebras. This workshop was sponsored by a project of the Eu- ropean Union which allowed us to invite in addition to established researchers also a couple of young people working on a PhD in representation theory. In eleven longer lectures of 40 minutes each and twentytwo shorter contributions of 30 min- utes each, recent progress in representation theory was presented and interesting new research directions were proposed. Besides the lectures, there was plenty of time for informal discussion between the participants, either continuing ongoing research cooperation or starting new projects. The topics of the talks came roughly from two major areas: on the one hand side, the investigation of representation theoretic properties of general finite groups and related objects, on the other hand the determination and detailed analysis of representations of special classes of finite groups and related objects like Hecke algebras. -
President's Report
AWM ASSOCIATION FOR WOMEN IN MATHE MATICS Volume 36, Number l NEWSLETTER March-April 2006 President's Report Hidden Help TheAWM election results are in, and it is a pleasure to welcome Cathy Kessel, who became President-Elect on February 1, and Dawn Lott, Alice Silverberg, Abigail Thompson, and Betsy Yanik, the new Members-at-Large of the Executive Committee. Also elected for a second term as Clerk is Maura Mast.AWM is also pleased to announce that appointed members BettyeAnne Case (Meetings Coordi nator), Holly Gaff (Web Editor) andAnne Leggett (Newsletter Editor) have agreed to be re-appointed, while Fern Hunt and Helen Moore have accepted an extension of their terms as Member-at-Large, to join continuing members Krystyna Kuperberg andAnn Tr enk in completing the enlarged Executive Committee. I look IN THIS ISSUE forward to working with this wonderful group of people during the coming year. 5 AWM ar the San Antonio In SanAntonio in January 2006, theAssociation for Women in Mathematics Joint Mathematics Meetings was, as usual, very much in evidence at the Joint Mathematics Meetings: from 22 Girls Just Want to Have Sums the outstanding mathematical presentations by women senior and junior, in the Noerher Lecture and the Workshop; through the Special Session on Learning Theory 24 Education Column thatAWM co-sponsored withAMS and MAA in conjunction with the Noether Lecture; to the two panel discussions thatAWM sponsored/co-sponsored.AWM 26 Book Review also ran two social events that were open to the whole community: a reception following the Gibbs lecture, with refreshments and music that was just right for 28 In Memoriam a networking event, and a lunch for Noether lecturer Ingrid Daubechies. -
Mathematicians Fleeing from Nazi Germany
Mathematicians Fleeing from Nazi Germany Mathematicians Fleeing from Nazi Germany Individual Fates and Global Impact Reinhard Siegmund-Schultze princeton university press princeton and oxford Copyright 2009 © by Princeton University Press Published by Princeton University Press, 41 William Street, Princeton, New Jersey 08540 In the United Kingdom: Princeton University Press, 6 Oxford Street, Woodstock, Oxfordshire OX20 1TW All Rights Reserved Library of Congress Cataloging-in-Publication Data Siegmund-Schultze, R. (Reinhard) Mathematicians fleeing from Nazi Germany: individual fates and global impact / Reinhard Siegmund-Schultze. p. cm. Includes bibliographical references and index. ISBN 978-0-691-12593-0 (cloth) — ISBN 978-0-691-14041-4 (pbk.) 1. Mathematicians—Germany—History—20th century. 2. Mathematicians— United States—History—20th century. 3. Mathematicians—Germany—Biography. 4. Mathematicians—United States—Biography. 5. World War, 1939–1945— Refuges—Germany. 6. Germany—Emigration and immigration—History—1933–1945. 7. Germans—United States—History—20th century. 8. Immigrants—United States—History—20th century. 9. Mathematics—Germany—History—20th century. 10. Mathematics—United States—History—20th century. I. Title. QA27.G4S53 2008 510.09'04—dc22 2008048855 British Library Cataloging-in-Publication Data is available This book has been composed in Sabon Printed on acid-free paper. ∞ press.princeton.edu Printed in the United States of America 10 987654321 Contents List of Figures and Tables xiii Preface xvii Chapter 1 The Terms “German-Speaking Mathematician,” “Forced,” and“Voluntary Emigration” 1 Chapter 2 The Notion of “Mathematician” Plus Quantitative Figures on Persecution 13 Chapter 3 Early Emigration 30 3.1. The Push-Factor 32 3.2. The Pull-Factor 36 3.D. -
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. -
Some Comments on Multiple Discovery in Mathematics
Journal of Humanistic Mathematics Volume 7 | Issue 1 January 2017 Some Comments on Multiple Discovery in Mathematics Robin W. Whitty Queen Mary University of London Follow this and additional works at: https://scholarship.claremont.edu/jhm Part of the History of Science, Technology, and Medicine Commons, and the Other Mathematics Commons Recommended Citation Whitty, R. W. "Some Comments on Multiple Discovery in Mathematics," Journal of Humanistic Mathematics, Volume 7 Issue 1 (January 2017), pages 172-188. DOI: 10.5642/jhummath.201701.14 . Available at: https://scholarship.claremont.edu/jhm/vol7/iss1/14 ©2017 by the authors. This work is licensed under a Creative Commons License. JHM is an open access bi-annual journal sponsored by the Claremont Center for the Mathematical Sciences and published by the Claremont Colleges Library | ISSN 2159-8118 | http://scholarship.claremont.edu/jhm/ The editorial staff of JHM works hard to make sure the scholarship disseminated in JHM is accurate and upholds professional ethical guidelines. However the views and opinions expressed in each published manuscript belong exclusively to the individual contributor(s). The publisher and the editors do not endorse or accept responsibility for them. See https://scholarship.claremont.edu/jhm/policies.html for more information. Some Comments on Multiple Discovery in Mathematics1 Robin M. Whitty Queen Mary University of London [email protected] Synopsis Among perhaps many things common to Kuratowski's Theorem in graph theory, Reidemeister's Theorem in topology, and Cook's Theorem in theoretical com- puter science is this: all belong to the phenomenon of simultaneous discovery in mathematics. We are interested to know whether this phenomenon, and its close cousin repeated discovery, give rise to meaningful questions regarding causes, trends, categories, etc. -
JULIA ROBINSON and HILBERT's TENTH PROBLEM Diophantine
DIDACTICA MATHEMATICA, Vol. 34(2016), pp. 1{7 JULIA ROBINSON AND HILBERT'S TENTH PROBLEM Mira-Cristiana Anisiu Abstract. One of the solved Hilbert's problems stated in 1900 at the Interna- tional Congress of Mathematicians in Paris is: Given a Diophantine equation with any number of unknown quantities and with rational integral numerical coefficients: To devise a process according to which it can be determined in a finite number of operations whether the equation is solvable in rational integers. Julia Robinson (1919-1985) had a basic contribution to its negative solution, completed by Yuri Matijasevich. Her passion for Mathematics allowed her to become a professor at UC Berkeley and the first woman president of the Amer- ican Mathematical Society. She firmly encouraged all the women who have the ability and the desire to do mathematical research to fight and support each other in order to succeed. Dedicated to Anca C˘ap˘at¸^ın˘a,forced to retire in February 2016 (five years earlier than male researchers) and rewarded with the Spiru Haret Prize of the Romanian Academy in December of the same year. MSC 2000. 01-01, 01A60, 11U05 Key words. Diophantine equations, Hilbert tenth problem 1. DIOPHANTINE EQUATIONS Diophantine equations are named after the Greek mathematician Diophan- tus (200 AD - 284 AD), born in Alexandria, Egypt. In his Arithmetica, a treatise of several books, he studied about 200 equations in two or more vari- ables with the restriction that the solutions be rational numbers. The simplest Diophantine equations are the two-variable linear ones, which are of the form (1) ax + by = c; with a; b and c integers, and for which the variables x and y can only have integer values. -
MATH 801 — Braids Spring 2008 Prof
MATH 801 — Braids Spring 2008 Prof. Jean-Luc Thiffeault DESCRIPTION Everyone understands intuitively the concept of a braid as a collection of intertwined strands. However, there is a rigorous mathematical theory of braids, pioneered by Artin, which complements knot theory but is in many ways separate. Unlike knots, braids have a simple algebraic description in terms of a group, and can thus be manipulated more easily. This group structure also connects them to the mapping class groups of a surface: each element of this group describes a way of mapping a surface to itself. Braids thus provides insight into the structure of mappings of surfaces. We shall tie this to the powerful Thurston–Nielsen classification of surface diffeomorphisms. This opens the door to many applications in fluid dynamics, since fluid motion can be regarded as a re-ordering of the fluid material. Braids are also being used in computational robotics, where the motion of robotic agents subject to constraints has to be optimized. On the algebraic side, braids are potentially useful in cryptography, since there are sev- eral computationally ‘hard’ problems associated with factoring braids — especially the conjugacy problem. In this course I will present the basic theory of braids, assuming relatively few prerequi- sites. The approach will vary from semi-rigorous to rigorous, with some theorems proved and others merely motivated. The goal is to cover a lot of ground and not be slowed down by lengthy proofs. The course is aimed at both applied and pure students. A sample of topics to be covered, time permitting: • Physical braids and the algebraic description of braids • Configuration space • Braids on other surfaces; The Dirac string problem • Alexander’s and Markov’s theorem • Garside normal form and the word and conjugacy problems • The Burau representation and faithfulness • Mapping class groups • Thurston–Nielsen classification • Topological entropy • Robotics • Stirring with braids 1 PREREQUISITES Basic knowledge of group theory will help.