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2011 Mathematics Newsletter
AUTUMN 2011 NEWSLETTER OF THE DEPARTMENT OF MATHEMATICS AT THE UNIVERSITY OF WASHINGTON Mathematics NEWS 1 DEPARTMENT OF MATHEMATICS NEWS MESSAGE FROM THE CHAIR It has been another exciting year The positive developments reported in this newsletter stand for our department. The work of in contrast to a backdrop of (global) financial and politi- the faculty has been recognized cal uncertainty. In the fourth year of the financial crisis, in a number of ways, includ- the end is not yet in sight. Repeated cuts in state support, ing the AMS Bôcher Prize and coupled with tuition increases, spell a fundamental shift the SIAM Kleinman Prize pre- in the funding of state universities. At the same time, the sented to Gunther Uhlmann, need to re-tool to pursue new career paths in a changing and the NSF CAREER award to economy, the return of soldiers from overseas deployments, Max Lieblich. As you will see on and the coming of age of the baby-boom echo generation page 15, the numbers of majors bring increasing numbers of students to our campus and to in the Mathematics program and the joint ACMS (Applied our department. and Computational Mathematical Sciences) program have Until the situation settles, new resources are generally made continued to rise, as have the numbers of degrees awarded. available to us in the form of temporary allocations instead In addition, these programs attract outstanding students of tenure-track faculty positions, which would require long- who continue to make us proud. For example, Math majors term financial commitments. This policy is understandable. -
A Panorama of Harmonic Analysis
AMS / MAA THE CARUS MATHEMATICAL MONOGRAPHS VOL 27 A PANORAMA OF HARMONIC ANALYSIS Steven G. Krantz A Panorama of Harmonic Analysis Originally published by The Mathematical Association of America, 1999. ISBN: 978-1-4704-5112-7 LCCN: 99-62756 Copyright © 1999, held by the American Mathematical Society Printed in the United States of America. Reprinted by the American Mathematical Society, 2019 The American Mathematical Society retains all rights except those granted to the United States Government. ⃝1 The paper used in this book is acid-free and falls within the guidelines established to ensure permanence and durability. Visit the AMS home page at https://www.ams.org/ 10 9 8 7 6 5 4 3 2 24 23 22 21 20 19 10.1090/car/027 AMS/MAA THE CARUS MATHEMATICAL MONOGRAPHS VOL 27 A Panorama of Harmonic Analysis Stephen G. Krantz THE CARUS MATHEMATICAL MONOGRAPHS Published by THE MATHEMATICAL ASSOCIATION OF AMERICA Committee on Publications William Watkins, Chair Carus Mathematical Monographs Editorial Board Steven G. Krantz, Editor Robert Burckel John B. Conway Giuliana P. Davidoff Gerald B. Folland Leonard Gillman The following Monographs have been published: 1. Calculus of Variations, by G. A. Bliss (out of print) 2. Analytic Functions of a Complex Variable, by D. R. Curtiss (out of print) 3. Mathematical Statistics, by H. L. Rietz (out of print) 4. Projective Geometry, by J. W. Young (out of print) 5. A History of Mathematics in America before 1900, by D. E. Smith and Jekuthiel Ginsburg (out of print) 6. Fourier Series and Orthogonal Polynomials, by Dunham Jackson (out of print) 7. -
Some Physics for Mathematicians: Mathematics 7120, Spring 2011
Some Physics for Mathematicians: Mathematics 7120, Spring 2011 Len Gross with the assistance of Mihai Bailesteanu, Cristina Benea, Joe Chen, Nate Eldridge, Chi-Kwong (Alex) Fok, Igors Gorbovickis, Amanda Hood, John Hubbard, Yasemin Kara, Tom Kern, Janna Lierl, Yao Liu, Shisen Luo, Peter Luthy, Justin Moore, Maicol Ochoa Daza, Milena Pabiniak, Eyvindar Palsson, Ben Steinhurst, Baris Ugurcan, Hung Tran, Jim West, Daniel Wong, Tianyi Zheng,... June 23, 2011 These notes are based on a previous incarnation of this seminar: Physics for Mathematicians: Mathematics 712, Spring 2003 by Len Gross with the assistance of Treven Wall, Roland Roeder, Pavel Gyra, Dmitriy Leykekhman, Will Gryc, Fernando Schwartz, Todd Kemp, Nelia Charalambous, ... and the participation of Kai-Uwe Bux, Martin Dindos, Peter Kahn, Bent Orsted, Melanie Pivarski, Jos`eRamirez, Reyer Sjamaar, Sergey Slavnov, Brian Smith, Aaron Solo, Mike Stillman, ... 1 Contents 1 Introduction 5 2 Newtonian Mechanics 7 2.1 Work, energy and momentum for one particle . 7 2.2 Work, energy and momentum for N particles . 10 2.3 Angular Momentum . 12 2.4 Rigid bodies and SO(3) . 14 2.4.1 Angular velocity . 15 2.4.2 Moment of Inertia and Angular Momentum . 16 2.5 Configuration spaces and the Newtonian flow . 18 2.6 Lagrangian Mechanics . 21 2.6.1 Linear systems . 21 2.6.2 General configuration spaces. (Nonlinear systems.) . 24 2.7 Hamiltonian mechanics . 26 2.7.1 The Legendre transform . 28 2.7.2 From Lagrange to Hamilton via the Legendre transform 30 2.8 SUMMARY . 31 2.9 References . 31 2.10 Solutions to problems . -
President's Report
ANNI H V T E R 0 S 4 A R M Y W A 40 1971–2011 ANNI H V T E R 0 S 4 A R M Y W A 40 1971–2011 Newsletter Volume 41, No. 6 • No VemBeR–DeCemBeR 2011 PRESIDENT’S REPORT The Association for Women in Mathematics has been very busy in this year of our 40th anniversary. In the two months since I wrote my last report for the newsletter, AWM has been to MathFest 2011 in Lexington, KY, and to the campus of Brown University, Providence, RI, for the research conference “40 Years and Counting: AWM’s Celebration of Women in Mathematics.” The purpose of the Association Congratulations to Dawn Lott, Delaware State University, who was awarded for Women in Mathematics is the honor of delivering the Etta Z. Falconer Lecture at MathFest this year. She • to encourage women and girls to reported on her research in mathematical modeling of rupture tendency of study and to have active careers in cerebral aneurysm to a widely appreciative and packed audience (despite the the mathematical sciences, and early hour). Special to MathFest this year was an AWM Student Chapters poster • to promote equal opportunity and session, organized by Maia Averett, Mills College. The posters highlighted the diverse the equal treatment of women and girls in the mathematical sciences. activities of some of the AWM Student Chapters. A panel discussion, “Moving up the Career Ladder in Academia,” culminated AWM activities at MathFest. Thanks to Georgia Benkart, University of Wisconsin-Madison; Rebecca Garcia, Sam Houston State University; Jacqueline Jensen-Vallin, Sam Houston State University; and Maeve McCarthy, Murray State University, for organizing the panel. -
2005-2006 Graduate Studies in Mathematics Handbook
2005-2006 GRADUATE STUDIES IN MATHEMATICS HANDBOOK TABLE OF CONTENTS 1. Introduction 1 2. Department of Mathematics 2 3. The Graduate Program 5 4. Graduate Courses 8 5. Research Activities 23 6. Admission Requirements and Application Procedures 24 7. Fees and Financial Assistance 24 8. Other Information 26 Appendix A: Comprehensive Examination Syllabi for Mathematics Ph.D. Studies 29 Appendix B: Comprehensive Examination Syllabi for Applied Mathematics Ph.D. Studies 32 Appendix C: Ph.D. Degrees Conferred from 1994-2004 34 Appendix D: The Fields Institute for Research in Mathematical Sciences 37 1. INTRODUCTION The purpose of this handbook is to provide information about the graduate program of the Department of Mathematics, University of Toronto. It includes detailed information about the department, its faculty members and students, a listing of courses offered in 2005-2006, a summary of research activities, admissions requirements, application procedures, fees and financial assistance, and information about similar matters of concern to graduate students and prospective graduate students in mathematics. This handbook is intended to complement the calendar of the university’s School of Graduate Studies, where full details on fees and general graduate studies regulations may be found. For further information, or for application forms, please contact: Ms. Ida Bułat The Graduate Office Department of Mathematics University of Toronto 100 St. George Street, Room 4067 Toronto, Ontario, Canada M5S 3G3 Telephone: (416) 978-7894 Fax: (416) 978-4107 Email: [email protected] Website: http://www.math.toronto.edu/graduate 2. DEPARTMENT OF MATHEMATICS Mathematics has been taught at the University of Toronto since 1827. -
Annual Report 03-04.Indb
Annual Report 2003-2004 Contents PRESENTING THE ANNUAL REPORT 2003-2004 1 SCIENTIFIC PROGRAMS 2003-2004 2 Theme Year 2003-2004: Geometric and Spectral Analysis 2 Past Thematic Programs 10 Aisenstadt Chairholders in 2003-2004: S.T. Yau and P. Sarnak 11 General Program 2003-2004 13 Interdisciplinary and Industrial Program 16 Joint Institute Initiatives 17 CRM Prizes 20 CRM-ISM Colloquium Series 25 CRM PARTNERS 27 INDUSTRIAL COLLABORATIONS 29 RESEARCH LABORATORIES 30 CICMA 30 CIRGET 32 Mathematical Analysis laboratory 35 LaCIM 38 Applied Mathematics Laboratory 41 Mathematical Physics Laboratory 43 Statistics Laboratory 45 PhysNum 48 PUBLICATIONS 51 Recent Titles 51 Previous Titles 51 Preprints and Research Reports 55 SCIENTIFIC PERSONNEL 58 Long-term visitors 58 Short-term visitors 59 Postdoctoral Fellows 60 CRM Members in 2003-2004 61 TWO COMMITTEES HEADING THE CRM 64 Bureau de direction 64 Scientific Advisory Commitee 65 PERSONNEL 2003-2004 67 STATEMENT OF REVENUE AND EXPENDITURES 68 MISSION OF THE CRM 70 Presenting the annual report 2003-2004 Annual Report presenting by the Director François Lalonde, Director of CRM The 2003-2004 year, thinking and A Workshop on Graph Theory in honour of Bondy and particularly about the thematic Fleischner in May 2004. The industrial and multidisciplinary program in Geometric and program was plentiful with eleven workshops and events orga- Spectral Analysis, was certainly nized in collaboration with MITACS, ncm2, CIRANO, IEEE, one of the greatest theme years IFM, GERAD and SSC One of these, DeMoSTAFI (Depen- ever organized by the CRM. It dence Modelling in Statistics and Finance) resulted in special was a veritable firework of activi- issues in two journals: the Canadian Journal of Statisticsand In- ties, discoveries, and unexpected surance: Mathematics and Economics, the journal of reference collaborations; a year orchestrat- in actuarial science.