2016 Newsletter
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Mathematics People
NEWS Mathematics People faculty at the University of Washington, where she will Toro Named Director retain tenure during her term at MSRI. Her honors and awards include the Landolt Distin- of MSRI guished Graduate Mentor Award of the University of Wash- Tatiana Toro of the University of ington and the 2020 Blackwell–Tapia Prize. She has been Washington has been appointed as the recipient of an NSF Postdoctoral Research Fellowship, director of the Mathematical Sci- a Sloan Research Fellowship, a Guggenheim Fellowship, ences Research Institute (MSRI). She and two Simons Foundation Fellowships. She was elected a will serve a five-year term beginning Fellow of the AMS in 2016. Her service to AMS includes as August 1, 2022. an editor of Proceedings of the American Mathematical Society Toro’s primary research interests (2009–2015) and of Transactions and Memoirs of the Ameri- lie in the interface of partial differ- can Mathematical Society (2015–2019); as an elected mem- ential equations, harmonic analysis, ber of the AMS Editorial Boards Committee (2016–2019) and of the AMS Nominating Committee; and as a member Tatiana Toro calculus of variations, and geometric measure theory. According to the of the AMS Colloquium Lecture Committee. She previously MSRI announcement, “the main premise of Toro’s work served on the board of directors of the Pacific Institute is that under the right lens, objects that at first glance for the Mathematical Sciences at the University of British might appear to be very irregular do exhibit quantifiable Columbia. She is currently a trustee of the Institute of Pure regular characteristics. -
Curriculum Vita
CURRICULUM VITA NAME: Mourad E.H. Ismail AFFILIATION: University of Central Florida and King Saud University and ADDRESS: Department of Mathematics University of Central Florida 4000 Central Florida Blvd. P.O. Box 161364 Orlando, FL 32816-1364, USA. Telephones: Cell (407) 770-9959. POSITION: Research Professor at U of Central Florida PERSONAL DATA: Born April 27, 1944, in Cairo, Egypt. Male. Married. Canadian and Egyptian citizen, Permanent resident in the United States. EDUCATION: Ph.D. 1974 (Alberta), M.Sc. 1969 (Alberta), B.Sc. 1964 (Cairo). MATHEMATICAL GENEALOGY: Source: The Mathematics Genealogy Project, http://www.genealogy.ams.org • Yours truly, Ph. D. 1974, Advisor: Waleed Al-Salam. • Waleed Al-Salam, Ph. D. 1958, Advisor: Leonard Carlitz. • Leonard Carlitz, Ph. D. 1930, Advisor: Howard Mitchell. • Howard Mitchell, Ph. D. 1910, Advisor: Oswald Veblen. • Oswald Veblen, Ph. D. 1903, Advisor: Eliakim Hastings Moore. • Eliakim Hastings Moore, Ph. D. 1885, Advisor: H. A. Newton. • H. A. Newton, B. S. Yale 1850, Advisor: Michel Chasles. • Michel Chasles, Ph. D. 1814, Advisor: Simeon Poisson. • Simeon Poisson, Advisor: Joseph Lagrange. • Joseph Lagrange, Ph. D. Advisor: Leonhard Euler. 1 RESEARCH INTERESTS: Approximation theory, asymptotics, combinatorics, integral transforms and operational calculus, math- ematical physics, orthogonal polynomials and special functions. POSITIONS HELD: 2010{2012 Chair Professor, City University of Hong Kong 2003-2012 and 2013-present Professor, University of Central Florida 2008{2016 Distinguished Research -
Notes on the Founding of the DUKE MATHEMATICAL JOURNAL
Notes on the Founding of the DUKE MATHEMATICAL JOURNAL Title page to the bound first volume of DMJ CONTENTS Introduction 1 Planning a New Journal 3 Initial Efforts 3 First Discussion with the AMS 5 Galvanizing Support for a New Journal at Duke 7 Second Discussion with the AMS 13 Regaining Initiative 16 Final Push 20 Arrangements with Duke University Press 21 Launching a New Journal 23 Selecting a Title for the Journal and Forming a Board of Editors 23 Transferring Papers to DMJ 28 Credits 31 Notes 31 RESOLUTION The Council of the American Mathematical Society desires to express to the officers of Duke University, to the members of the Department of Mathematics of the University, and to the other members of the Editorial Board of the Duke Mathematical Journal its grateful appreciation of the service rendered by the Journal to mathematical science, and to extend to all those concerned in its management the congratulations of the Society on the distinguished place which it has assumed from the beginning among the significant mathematical periodicals of the world. December 31, 1935 St. Louis, Missouri INTRODUCTION In January 1936, just weeks after the completion of the first volume of the Duke Mathematical Journal (DMJ), Roland G. D. Richardson, professor and dean of the graduate school at Brown University, longtime secretary of the American Mathematical Society (AMS), and one of the early proponents of the founding of the journal, wrote to Duke President William Preston Few to share the AMS Council’s recent laudatory resolution and to offer his own personal note of congratulations: In my dozen years as Secretary of the American Mathematical Society no project has interested me more than the founding of this new mathematical journal. -
Regularity of the Singular Set in a Two-Phase Problem for Harmonic Measure with Holder¨ Data
REGULARITY OF THE SINGULAR SET IN A TWO-PHASE PROBLEM FOR HARMONIC MEASURE WITH HOLDER¨ DATA MATTHEW BADGER, MAX ENGELSTEIN, AND TATIANA TORO Abstract. In non-variational two-phase free boundary problems for harmonic measure, we examine how the relationship between the interior and exterior harmonic measures of a domain Ω ⊂ Rn influences the geometry of its boundary. This type of free boundary problem was initially studied by Kenig and Toro in 2006 and was further examined in a series of separate and joint investigations by several authors. The focus of the present paper is on the singular set in the free boundary, where the boundary looks infinitesimally like zero sets of homogeneous harmonic polynomials of degree at least 2. We prove that if the Radon-Nikodym derivative of the exterior harmonic measure with respect to the interior harmonic measure has a H¨oldercontinuous logarithm, then the free boundary admits unique geometric blowups at every singular point and the singular set can be covered by countably many C1,β submanifolds of dimension at most n − 3. This result is partly obtained by adapting tools such as Garofalo and Petrosyan's Weiss type monotonicity formula and an epiperimetric inequality for harmonic functions from the variational to the non-variational setting. Contents 1. Introduction 2 2. Blowups of harmonic measure on NTA domains 8 3. Start of the proof of the main theorems 14 4. Almost monotonicity via Almgren's frequency functional 16 5. Bounding the growth of the Weiss type functional 20 6. C1,β convergence to the blowup at singular points 23 7. -
2021 September-October Newsletter
Newsletter VOLUME 51, NO. 5 • SEPTEMBER–OCTOBER 2021 PRESIDENT’S REPORT This is a fun report to write, where I can share news of AWM’s recent award recognitions. Sometimes hearing about the accomplishments of others can make The purpose of the Association for Women in Mathematics is us feel like we are not good enough. I hope that we can instead feel inspired by the work these people have produced and energized to continue the good work we • to encourage women and girls to ourselves are doing. study and to have active careers in the mathematical sciences, and We’ve honored exemplary Student Chapters. Virginia Tech received the • to promote equal opportunity and award for Scientific Achievement for offering three different research-focused the equal treatment of women and programs during a pandemic year. UC San Diego received the award for Professional girls in the mathematical sciences. Development for offering multiple events related to recruitment and success in the mathematical sciences. Kutztown University received the award for Com- munity Engagement for a series of events making math accessible to a broad community. Finally, Rutgers University received the Fundraising award for their creative fundraising ideas. Congratulations to all your members! AWM is grateful for your work to support our mission. The AWM Research Awards honor excellence in specific research areas. Yaiza Canzani was selected for the AWM-Sadosky Research Prize in Analysis for her work in spectral geometry. Jennifer Balakrishnan was selected for the AWM- Microsoft Research Prize in Algebra and Number Theory for her work in computa- tional number theory. -
TABLE of CONTENTS Elementary Problems and Solutions. .Edited By
THE OFFICIAL JOURNAL OF THE FIBONACCI ASSOCIATION a TABLE OF CONTENTS On a New Kind of Numbers A.K. Agarwal 194 Some Sequences of Large Integers. Henry Ibstedt 200 Characteristics and the Three Gap Theorem .Tony van Ravenstein, Graham Winley and Keith Tognetti 204 Announcement on Fourth International Conference on Fibonacci Numbers and Their Applications 214 A Two-Variable Lagrange-Type Inversion Formula with Applications to Expansion and Convolution Identities Christian Krattenthaler 215 Lambert Series and the Summation of Reciprocals in Certain Fibonacci-Lucas-Type Sequences R. Andre- Jeannin 223 Third International Conference Proceedings 226 The Distribution of Residues of Two-Term Recurrence Sequences Eliot Jacobson 227 Generalizations of the Dual Zeckendorf Integer Representation Theorems—Discovery by Fibonacci Trees and Word Patterns J.C. Turner and T.D. Robb 230 The Fibonacci Sequence and the Time Complexity of Generating the Conway Polynomial and Related Topological Invariants Phillip G. Bradford 240 An Algebraic Indentity and Some Partial Convolutions W.C. Chu 252 On Certain Number-Theoretic Inequalities J. Sandor and L. Toth 255 Length of the /z-Number Game Anne Ludington-Young 259 Tiling the kth Power of a Power Series .-..../. Arkin, D.C. Arney, G.E. Bergum, S.A. Burr and B.J. Porter 266 On a Hoggatt-Bergum Paper with Totient Function Approach for Divisibility and Congruence Relations Sahib Singh 273 Elementary Problems and Solutions. .Edited by A.P.Hillman 277 Advanced Problems and Solutions Edited by Raymond E. Whitney 283 £ vVoOL UME 28 AUGUST 1990 NUMBER 3 PURPOSE The primary function of THE FIBONACCI QUARTERLY is to serve as a focal point for widespread interest in the Fibonacci and related numbers, especially with respect to new results, research proposals, challenging problems, and innovative proofs of old ideas. -
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. -
The Different Tongues of Q-Calculus
Proceedings of the Estonian Academy of Sciences, 2008, 57, 2, 81–99 doi: 10.3176/proc.2008.2.03 Available online at www.eap.ee/proceedings The different tongues of q-calculus Thomas Ernst Department of Mathematics, Uppsala University, P.O. Box 480, SE-751 06 Uppsala, Sweden; [email protected] Received 14 December 2007, in revised form 7 February 2008 Abstract. In this review paper we summarize the various dialects of q-calculus: quantum calculus, time scales, and partitions. The close connection between Gq(x) functions on the one hand, and elliptic functions and theta functions on the other hand will be shown. The advantages of the Heine notation will be illustrated by the (q-)Euler reflection formula, q-Appell functions, Carlitz– AlSalam polynomials, and the so-called q-addition. We conclude with some short biographies about famous scientists in q-calculus. Key words: elliptic functions, theta functions, q-Appell functions, q-addition, Carlitz–AlSalam polynomial. 1. INTRODUCTION q-Calculus is a generalization of many subjects, like hypergeometric series, complex analysis, and particle physics. In short, q-calculus is quite a popular subject today. It has developed various dialects like quantum calculus, time scales, partitions, and continued fractions. We will give several aspects of q-calculus to enlighten the strong interdisciplinary as well as mathematical character of this subject. The close connection between q-calculus on the one hand, and elliptic functions and theta functions on the other hand will be shown. Some new formulas will be given, such as the two restatements of Kummer’s 2F1(¡1) formula (in q-form) (36) and (37). -
6-3.Pdf, 298 Kb
Orthogonal Polynomials and Special Functions SIAM Activity Group on Orthogonal Polynomials and Special Functions ???? Newsletter ???? Published Three Times a Year June 1996 Volume 6, Number 3 Contents of members of our Activity Group. In particu- lar, both the Chair, Charles Dunkl, and the Vice From the Editor . 1 Chair, Tom H. Koornwinder, now have their own Memorial Note about Waleed Al-Salam . 2 WWW home pages whose addresses are listed on Memorial Note about Lawrence C. Biedenharn . 3 page 19. Reports from Meetings and Conferences . 4 Forthcoming Meetings and Conferences . 6 I invite everybody to consult some of the Books and Journals . 12 WWW pages which can give interesting infor- Software Announcements . 15 Problems and Solutions . 15 mation about orthogonal polynomials and special Miscellaneous . 18 functions. Rather than looking a formula up in a How to Contribute to the Newsletter . 18 mathematical dictionary, the desired information Activity Group: Addresses . 19 could be online available to you! Steven Finch is developing a WWW page on L P O N A L Y Favorite Mathematical Constants and their inter- O N G O O M relations which was announced in the last issue H I A T of the Newsletter. His site includes a wealth of L R SIAM S O mathematical knowledge and can be visited at Activity Group http://www.mathsoft.com/cgi-shl/constant.bat. S S P E Est. 1990 N C O At http://www.cecm.sfu.ca/projects/ISC/ you I I A C T L F U N have access to the Inverse Symbolic Calculator that looks up in a huge database to identify deci- mal numbers and uses modern algorithmic meth- ods to generate algebraic identities between sev- From the Editor eral of them. -
2012 Mathematics Newsletter
AUTUMN 2012 NEWSLETTER OF THE DEPARTMENT OF MATHEMATICS AT THE UNIVERSITY OF WASHINGTON Mathematics NEWS 1 DEPARTMENT OF MATHEMATICS NEWS MESSAGE FROM THE CHAIR This is my eleventh and final tor; Mike Munz, who recently moved from the position of year as chair, and the last time Assistant to the Chair to that of Department Administrator; I write this newsletter column. and Mary Sheetz, our former Administrator who retired after Despite some bumps along the 27 years of stellar service to the Department. While we miss road and the financial turbulence Mary, we are happy to know that she will be having lots of of the past four years, it has fun in her retirement as she devotes more time to her family been a thrill to serve in this role. and to her hobbies. In particular, it has been excit- It has been a pleasure to get to know alumni and friends ing to witness the growth of our who have been steadfast in their support of the work of the programs, and to work with all of Department. the groups that make up our department. Everything we do rests on the efforts of the Department’s In the past dozen years, the total number of majors in our faculty. The size of our tenure-track faculty has diminished undergraduate programs has grown from under 250 to over in the past four years, even while the responsibilities of 800. As you will see on page 15, over 250 students earned the Department have grown in every avenue of its mission, their Bachelor’s degrees in the Math and ACMS programs including teaching, undergraduate and graduate educa- in 2012, up from around 100 a decade ago. -
THE ANNUAL MEETING in MIAMI the Seventieth Annual Meeting Of
THE ANNUAL MEETING IN MIAMI The seventieth Annual Meeting of the American Mathematical Society was held at the University of Miami, Coral Gables, and Mi ami, Florida, on January 23-27, 1964, in conjunction with meetings of the Mathematical Association of America. All sessions were held at the University of Miami with the exception of the Gibbs Lecture, which was held at the Everglades Hotel. Registration at the meeting was 1493, including 1196 members of the Society. The thirty-seventh Josiah Willard Gibbs Lecture was delivered by Professor Lars Onsager of Yale University at 8:00 P.M. on Friday, January 24, 1964. His lecture was entitled Mathematical problems of cooperative phenomena. President Doob presided. Professor Deane Montgomery of the Institute for Advanced Study delivered his retiring Presidential Address, Compact groups of trans formations at 9:00 A.M. on Friday, January 24. Professor Montgom ery was introduced by Professor R. L. Wilder. By invitation of the Committee to Select Hour Speakers for Sum mer and Annual Meetings, hour addresses were given by Professor Morton Brown, of the University of Michigan, at 9:00 A.M. Thurs day, January 23, and Professor Heisuke Hironaka of Brandeis Uni versity of 2:00 P.M., Friday, January 24. Professor Brown, who was introduced by Professor J. H. Curtiss, spoke on Topological manifolds. Professor Hironaka spoke on Singularities in algebraic varieties and was introduced by Professor R. D. James. There were four special sessions of invited twenty-minute papers as follows: in geometry, organized by Herbert Busemann and with speakers Herbert Busemann, Louis Auslander, R. -
MSRI Director, 2022-2027 Distinguished University of Washington Mathematician Will Lead International Math Institute
PRESS RELEASE Dr. Tatiana Toro Named Next MSRI Director, 2022-2027 Distinguished University of Washington mathematician will lead international math institute Berkeley, CA, June 15, 2021 — The Board of Trustees of the Mathematical Sciences Research Institute (MSRI) announced today the appointment of Dr. Tatiana Toro to the position of Director of MSRI. Toro is the Craig McKibben & Sarah Merner Professor of Mathematics in the Department of Mathematics at the University of Washington in Seattle. MSRI is one of the world’s leading centers for collaborative research in mathematics, overlooking the campus of the University of California, Berkeley and the San Francisco Bay. “On behalf of the Berkeley campus, I want to offer a warm welcome to Professor Toro. We are thrilled and certain that her academic accomplishments, values, and experiences make her uniquely suited for the position,” said Carol Christ, chancellor of UC Berkeley and a trustee of MSRI. “I look forward to working with Tatiana to sustain and grow our rich and robust partnership with the Institute.” Toro will maintain her tenure at the University of Washington during her five-year term at MSRI, which begins August 1, 2022. “Professor Toro’s appointment as director of MSRI recognizes her wonderful accomplishments as a mathematician, educator, and champion of diversity and access in the field of mathematics,” said Mark Richards, provost and executive vice president of academic affairs at the University of Washington. “Her appointment brings great honor to the UW and our Department of Mathematics, and we look forward to even closer relations between the UW and MSRI as she takes the helm there.” Her primary research interest lies in the interface of Partial Differential Equations, Harmonic Analysis, Calculus of Variations, and Geometric Measure Theory.