Manjul Bhargava
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NEWSLETTER No
NEWSLETTER No. 455 February 2016 LMS INAUGURAL HIRST LECTURE: PROFESSOR EDMUND F. ROBERTSON he Society is pleased to announce that MacTutor History of Mathematics website has TProfessor Edmund F. Robertson (St Andrews) now become an important resource for those in- will give the inaugural Hirst Lecture at St terested in the history of mathematics. It contains Andrews on Wednesday 20 April 2016. Mark over 2,800 biographies of mathematicians and is McCartney (University of Ulster) will give an ac- used across the world by schoolchildren, under- companying lecture. graduates, graduates and their teachers. The Hirst Lecture celebrates the joint award of The Hirst Prize and Lectureship are named after the Hirst Prize & Lectureship, in the 150th Anni- Thomas A. Hirst, 5th President of the London versary year of the London Mathematical Society, Mathematical Society from 1872-1874. The prize to Professor Edmund Robertson (St Andrews) and is awarded in recognition of original and inno- Dr John O’Connor (St Andrews) for their creation, vative work in the history of mathematics, which development and maintenance of the MacTutor may be in any medium. History of Mathematics website (www-history. In 2015, the Council of the Society agreed to mcs.st-and.ac.uk). continue the Hirst Prize and Lectureship on a Originally developed in the early 1990s to enrich biennial basis with the next award to be made the Mathematical MacTutor System that supports in 2018 and the lecture to be given at a Society teaching mathematics to undergraduates, the Meeting in 2019. -
Sir Andrew J. Wiles
ISSN 0002-9920 (print) ISSN 1088-9477 (online) of the American Mathematical Society March 2017 Volume 64, Number 3 Women's History Month Ad Honorem Sir Andrew J. Wiles page 197 2018 Leroy P. Steele Prize: Call for Nominations page 195 Interview with New AMS President Kenneth A. Ribet page 229 New York Meeting page 291 Sir Andrew J. Wiles, 2016 Abel Laureate. “The definition of a good mathematical problem is the mathematics it generates rather Notices than the problem itself.” of the American Mathematical Society March 2017 FEATURES 197 239229 26239 Ad Honorem Sir Andrew J. Interview with New The Graduate Student Wiles AMS President Kenneth Section Interview with Abel Laureate Sir A. Ribet Interview with Ryan Haskett Andrew J. Wiles by Martin Raussen and by Alexander Diaz-Lopez Allyn Jackson Christian Skau WHAT IS...an Elliptic Curve? Andrew Wiles's Marvelous Proof by by Harris B. Daniels and Álvaro Henri Darmon Lozano-Robledo The Mathematical Works of Andrew Wiles by Christopher Skinner In this issue we honor Sir Andrew J. Wiles, prover of Fermat's Last Theorem, recipient of the 2016 Abel Prize, and star of the NOVA video The Proof. We've got the official interview, reprinted from the newsletter of our friends in the European Mathematical Society; "Andrew Wiles's Marvelous Proof" by Henri Darmon; and a collection of articles on "The Mathematical Works of Andrew Wiles" assembled by guest editor Christopher Skinner. We welcome the new AMS president, Ken Ribet (another star of The Proof). Marcelo Viana, Director of IMPA in Rio, describes "Math in Brazil" on the eve of the upcoming IMO and ICM. -
Arxiv:1407.1093V1 [Math.NT]
MULTIPLICATIVE REDUCTION AND THE CYCLOTOMIC MAIN CONJECTURE FOR GL2 CHRISTOPHER SKINNER Abstract. We show that the cyclotomic Iwasawa–Greenberg Main Conjecture holds for a large class of modular forms with multiplicative reduction at p, extending previous results for the good ordinary case. In fact, the multiplicative case is deduced from the good case through the use of Hida families and a simple Fitting ideal argument. 1. Introduction The cyclotomic Iwasawa–Greenberg Main Conjecture was established in [18], in com- bination with work of Kato [13], for a large class of newforms f ∈ Sk(Γ0(N)) that are ordinary at an odd prime p ∤ N, subject to k ≡ 2 (mod p − 1) and certain conditions on the mod p Galois representation associated with f. The purpose of this note is to extend this result to the case where p | N (in which case k is necessarily equal to 2). ∞ n Recall that the coefficients an of the q-expansion f = n=1 anq of f at the cusp at infinity (equivalently, the Hecke eigenvalues of f) are algebraic integers that generate a finite extension Q(f) ⊂ C of Q. Let p be an odd primeP and let L be a finite extension of the completion of Q(f) at a chosen prime above p (equivalently, let L be a finite extension of Qp in a fixed algebraic closure Qp of Qp that contains the image of a chosen embedding Q(f) ֒→ Qp). Suppose that f is ordinary at p with respect to L in the sense that ap is a unit in the ring of integers O of L. -
ICTS POSTER Outside Bangalore
T A T A I N S T I T U T E O F F U N D A M E N T A L R E S E A R C H A HOMI BHABHA BIRTH CENTENARY & ICTS INAUGURAL EVENT International Centre Theoretical Sciences science without bo28 Decemberun 2009d29 -a 31 Decemberri e2009s Satish Dhawan Auditorium Faculty Hall Indian Institute of Science, Bangalore. www.icts.res.in/program/icts-ie INVITED SPEAKERS / PANELISTS INCLUDE FOUNDATION STONE CEREMONY Siva Athreya ISI, Bangalore OF ICTS CAMPUS Naama Barkai Weizmann Institute The foundation stone will be unveiled by Manjul Bhargava Princeton University Prof. C N R Rao, FRS 4:00 pm, 28 December 2009 Édouard Brézin École Normale Supérieure Amol Dighe TIFR Michael Green DAMTP, Cambridge Chandrashekhar Khare UCLA Yamuna Krishnan NCBS-TIFR Lyman Page Princeton University Jaikumar Radhakrishnan TIFR C. S. Rajan TIFR Sriram Ramaswamy IISc G. Rangarajan IISc C. N. R. Rao JNCASR Subir Sachdev Harvard University K. Sandeep CAM-TIFR Sriram Shastry UC Santa Cruz PUBLIC LECTURES Ashoke Sen HRI J. N. Tata Auditorium, IISc (FREE AND OPEN TO ALL) Anirvan Sengupta Rutgers University K. R. Sreenivasan Abdus Salam ICTP Michael Atiyah University of Edinburgh Andrew Strominger Harvard University Truth and Beauty in Mathematics and Physics 5:30 pm, 27 December 2009 Raman Sundrum Johns Hopkins University Ajay Sood IISc David Gross KITP, Santa Barbara The Role of Theory in Science Tarun Souradeep IUCAA 5:30 pm, 28 December 2009 Eitan Tadmor University of Maryland Albert Libchaber Rockefeller University Sandip Trivedi TIFR The Origin of Life: from Geophysics to Biology? Mukund Thattai NCBS-TIFR 5:30 pm, 30 December 2009 S. -
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. -
LOO-KENG HUA November 12, 1910–June 12, 1985
NATIONAL ACADEMY OF SCIENCES L OO- K EN G H U A 1910—1985 A Biographical Memoir by H E I N I H A L BERSTAM Any opinions expressed in this memoir are those of the author(s) and do not necessarily reflect the views of the National Academy of Sciences. Biographical Memoir COPYRIGHT 2002 NATIONAL ACADEMIES PRESS WASHINGTON D.C. LOO-KENG HUA November 12, 1910–June 12, 1985 BY HEINI HALBERSTAM OO-KENG HUA WAS one of the leading mathematicians of L his time and one of the two most eminent Chinese mathematicians of his generation, S. S. Chern being the other. He spent most of his working life in China during some of that country’s most turbulent political upheavals. If many Chinese mathematicians nowadays are making dis- tinguished contributions at the frontiers of science and if mathematics in China enjoys high popularity in public esteem, that is due in large measure to the leadership Hua gave his country, as scholar and teacher, for 50 years. Hua was born in 1910 in Jintan in the southern Jiangsu Province of China. Jintan is now a flourishing town, with a high school named after Hua and a memorial building celebrating his achievements; but in 1910 it was little more than a village where Hua’s father managed a general store with mixed success. The family was poor throughout Hua’s formative years; in addition, he was a frail child afflicted by a succession of illnesses, culminating in typhoid fever that caused paralysis of his left leg; this impeded his movement quite severely for the rest of his life. -
Editor's Note
ANNALES DE LA FACULTÉ DES SCIENCES DE TOULOUSE M. LEDOUX Editor’s note Annales de la faculté des sciences de Toulouse 6e série, tome 13, no 1 (2004), p. 1 <http://www.numdam.org/item?id=AFST_2004_6_13_1_1_0> © Université Paul Sabatier, 2004, tous droits réservés. L’accès aux archives de la revue « Annales de la faculté des sciences de Toulouse » (http://picard.ups-tlse.fr/~annales/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/conditions). Toute utilisation commerciale ou impression systématique est constitu- tive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright. Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques http://www.numdam.org/ This Special Issue of the Annales de la Faculté des Sciences de Toulouse collects papers from the laureates of the Fermât Prizes 1999 and 2001. The Fermat Prize for Mathematics Research is delivered by the Paul- Sabatier University of Toulouse under the patronage of ASTRIUM SAS. It rewards research work in fields where the contributions of Pierre de Fermat have been decisive: Variational Principles, Probability Theory and Analyti- cal Geometry, Number Theory. Former winners are A. Bahri, K. A. Ribbet, J.-L. Colliot-Thélène, J.-M. Coron, A. J. Wiles, M. Talagrand. The Fermat Prize for Mathematics Research 1999 was awarded jointly to F. Bethuel and F. Hélein for several important contributions to the theory of variational calculus, which have consequences in Physics and Geometry. The Fermat Prize for Mathematics Research 2001 was awarded jointly to R. L. -
An Introduction to the Birch and Swinnerton-Dyer Conjecture
Rose-Hulman Undergraduate Mathematics Journal Volume 16 Issue 1 Article 15 An Introduction to the Birch and Swinnerton-Dyer Conjecture Brent Johnson Villanova University Follow this and additional works at: https://scholar.rose-hulman.edu/rhumj Recommended Citation Johnson, Brent (2015) "An Introduction to the Birch and Swinnerton-Dyer Conjecture," Rose-Hulman Undergraduate Mathematics Journal: Vol. 16 : Iss. 1 , Article 15. Available at: https://scholar.rose-hulman.edu/rhumj/vol16/iss1/15 Rose- Hulman Undergraduate Mathematics Journal An Introduction to the Birch and Swinnerton-Dyer Conjecture Brent A. Johnson a Volume 16, No. 1, Spring 2015 Sponsored by Rose-Hulman Institute of Technology Department of Mathematics Terre Haute, IN 47803 Email: [email protected] a http://www.rose-hulman.edu/mathjournal Villanova University Rose-Hulman Undergraduate Mathematics Journal Volume 16, No. 1, Spring 2015 An Introduction to the Birch and Swinnerton-Dyer Conjecture Brent A. Johnson Abstract. This article explores the Birch and Swinnerton-Dyer Conjecture, one of the famous Millennium Prize Problems. In addition to providing the basic theoretic understanding necessary to understand the simplest form of the conjecture, some of the original numerical evidence used to formulate the conjecture is recreated. Recent results and current problems related to the conjecture are given at the end. Acknowledgements: I would like to thank Professor Robert Styer and Professor Alice Deanin for their incredible mentorship, patience, and friendship. RHIT Undergrad. Math. J., Vol. 16, No. 1 Page 271 1 Introduction An elliptic curve is a projective, nonsingular curve given by the general Weierstrass equation 2 3 2 E : y + a1xy + a3y = x + a2x + a4x + a6: There is no doubt that elliptic curves are amongst the most closely and widely studied objects in mathematics today. -
Multiplicative Reduction and the Cyclotomic Main Conjecture for Gl2
Pacific Journal of Mathematics MULTIPLICATIVE REDUCTION AND THE CYCLOTOMIC MAIN CONJECTURE FOR GL2 CHRISTOPHER SKINNER Volume 283 No. 1 July 2016 PACIFIC JOURNAL OF MATHEMATICS Vol. 283, No. 1, 2016 dx.doi.org/10.2140/pjm.2016.283.171 MULTIPLICATIVE REDUCTION AND THE CYCLOTOMIC MAIN CONJECTURE FOR GL2 CHRISTOPHER SKINNER We show that the cyclotomic Iwasawa–Greenberg main conjecture holds for a large class of modular forms with multiplicative reduction at p, extending previous results for the good ordinary case. In fact, the multiplicative case is deduced from the good case through the use of Hida families and a simple Fitting ideal argument. 1. Introduction The cyclotomic Iwasawa–Greenberg main conjecture was established in[Skinner and Urban 2014], in combination with work of Kato[2004], for a large class of newforms f 2 Sk.00.N// that are ordinary at an odd prime p - N, subject to k ≡ 2 .mod p − 1/ and certain conditions on the mod p Galois representation associated with f . The purpose of this note is to extend this result to the case where p j N (in which case k is necessarily equal to 2). P1 n Recall that the coefficients an of the q-expansion f D nD1 anq of f at the cusp at infinity (equivalently, the Hecke eigenvalues of f ) are algebraic integers that generate a finite extension Q. f / ⊂ C of Q. Let p be an odd prime and let L be a finite extension of the completion of Q. f / at a chosen prime above p (equivalently, let L be a finite extension of Qp in a fixed algebraic closure Qp of Qp that contains the image of a chosen embedding Q. -
Dear Aspirant with Regard
DEAR ASPIRANT HERE WE ARE PRESENTING YOU A GENRAL AWERNESS MEGA CAPSULE FOR IBPS PO, SBI ASSOT PO , IBPS ASST AND OTHER FORTHCOMING EXAMS WE HAVE UNDERTAKEN ALL THE POSSIBLE CARE TO MAKE IT ERROR FREE SPECIAL THANKS TO THOSE WHO HAS PUT THEIR TIME TO MAKE THIS HAPPEN A IN ON LIMITED RESOURCE 1. NILOFAR 2. SWETA KHARE 3. ANKITA 4. PALLAVI BONIA 5. AMAR DAS 6. SARATH ANNAMETI 7. MAYANK BANSAL WITH REGARD PANKAJ KUMAR ( Glory At Anycost ) WE WISH YOU A BEST OF LUCK CONTENTS 1 CURRENT RATES 1 2 IMPORTANT DAYS 3 CUPS & TROPHIES 4 4 LIST OF WORLD COUNTRIES & THEIR CAPITAL 5 5 IMPORTANT CURRENCIES 9 6 ABBREVIATIONS IN NEWS 7 LISTS OF NEW UNION COUNCIL OF MINISTERS & PORTFOLIOS 13 8 NEW APPOINTMENTS 13 9 BANK PUNCHLINES 15 10 IMPORTANT POINTS OF UNION BUDGET 2012-14 16 11 BANKING TERMS 19 12 AWARDS 35 13 IMPORTANT BANKING ABBREVIATIONS 42 14 IMPORTANT BANKING TERMINOLOGY 50 15 HIGHLIGHTS OF UNION BUDGET 2014 55 16 FDI LLIMITS 56 17 INDIAS GDP FORCASTS 57 18 INDIAN RANKING IN DIFFERENT INDEXS 57 19 ABOUT : NABARD 58 20 IMPORTANT COMMITTEES IN NEWS 58 21 OSCAR AWARD 2014 59 22 STATES, CAPITAL, GOVERNERS & CHIEF MINISTERS 62 23 IMPORTANT COMMITTEES IN NEWS 62 23 LIST OF IMPORTANT ORGANIZATIONS INDIA & THERE HEAD 65 24 LIST OF INTERNATIONAL ORGANIZATIONS AND HEADS 66 25 FACTS ABOUT CENSUS 2011 66 26 DEFENCE & TECHNOLOGY 67 27 BOOKS & AUTHOURS 69 28 LEADER”S VISITED INIDIA 70 29 OBITUARY 71 30 ORGANISATION AND THERE HEADQUARTERS 72 31 REVOLUTIONS IN AGRICULTURE IN INDIA 72 32 IMPORTANT DAMS IN INDIA 73 33 CLASSICAL DANCES IN INDIA 73 34 NUCLEAR POWER -
Public Recognition and Media Coverage of Mathematical Achievements
Journal of Humanistic Mathematics Volume 9 | Issue 2 July 2019 Public Recognition and Media Coverage of Mathematical Achievements Juan Matías Sepulcre University of Alicante Follow this and additional works at: https://scholarship.claremont.edu/jhm Part of the Arts and Humanities Commons, and the Mathematics Commons Recommended Citation Sepulcre, J. "Public Recognition and Media Coverage of Mathematical Achievements," Journal of Humanistic Mathematics, Volume 9 Issue 2 (July 2019), pages 93-129. DOI: 10.5642/ jhummath.201902.08 . Available at: https://scholarship.claremont.edu/jhm/vol9/iss2/8 ©2019 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. Public Recognition and Media Coverage of Mathematical Achievements Juan Matías Sepulcre Department of Mathematics, University of Alicante, Alicante, SPAIN [email protected] Synopsis This report aims to convince readers that there are clear indications that society is increasingly taking a greater interest in science and particularly in mathemat- ics, and thus society in general has come to recognise, through different awards, privileges, and distinctions, the work of many mathematicians. -
International Conference on Number Theory and Discrete Mathematics (ONLINE) (ICNTDM) 11 - 14, DECEMBER-2020
International Conference on Number Theory and Discrete Mathematics (ONLINE) (ICNTDM) 11 - 14, DECEMBER-2020 Organised by RAMANUJAN MATHEMATICAL SOCIETY Hosted by DEPARTMENT OF MATHEMATICS RAJAGIRI SCHOOL OF ENGINEERING & TECHNOLOGY (AUTONOMOUS) Kochi, India International Conference on Number Theory and Discrete Mathematics PREFACE The International Conference on Number Theory and Discrete Mathematics (ICNTDM), organised by the Ramanujan Mathematical Society (RMS), and hosted by the Rajagiri School of Engineering and Technology (RSET), Cochin is a tribute to the legendary Indian mathematician Srinivasa Ramanujan who prematurely passed away a hundred years ago on 26th April 1920 leaving a lasting legacy. Conceived as any usual conference as early as June 2019, the ICNTDM was compelled to switch to online mode due to the pandemic, like most events round the globe this year. The International Academic Programme Committee, consisting of distinguished mathematicians from India and abroad, lent us a helping hand every possible way, in all aspects of the conference. As a result, we were able to evolve a strong line up of reputed speakers from India, Austria, Canada, China, France, Hungary, Japan, Russia, Slovenia, UK and USA, giving 23 plenary talks and 11 invited talks, in addition to the 39 speakers in the contributed session. This booklet consists of abstracts of all these talks and two invited articles; one describing the various academic activities that RMS is engaged in, tracing history from its momentous beginning in 1985, and a second article on Srinivasa Ramanujan. It is very appropriate to record here that, in conjunction with the pronouncement of the year 2012 { the 125th birth anniversary year of Ramanujan { as the `National Mathematics Year', RMS heralded an excellent initiative of translating the cele- brated book `The Man Who Knew Infinity' into many Indian languages.