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February 19, 2016
February 19, 2016 Professor HELGE HOLDEN SECRETARY OF THE INTERNATIONAL MATHEMATICAL UNION Dear Professor Holden, The Turkish Mathematical Society (TMD) as the Adhering Organization, applies to promote Turkey from Group I to Group II as a member of IMU. We attach an overview of the developments of Mathematics in Turkey during the last 10 years (2005- 2015) preceded by a historical account. With best regards, Betül Tanbay President of the Turkish Mathematical Society Report on the state of mathematics in Turkey (2005-2015) This is an overview of the status of Mathematics in Turkey, prepared for the IMU for promotion from Group I to Group II by the adhering organization, the Turkish Mathematical Society (TMD). 1-HISTORICAL BACKGROUND 2-SOCIETIES AND CENTERS RELATED TO MATHEMATICAL SCIENCES 3-NUMBER OF PUBLICATIONS BY SUBJECT CATEGORIES 4-NATIONAL CONFERENCES AND WORKSHOPS HELD IN TURKEY BETWEEN 2013-2015 5-INTERNATIONAL CONFERENCES AND WORKSHOPS HELD IN TURKEY BETWEEN 2013-2015 6-NUMBERS OF STUDENTS AND TEACHING STAFF IN MATHEMATICAL SCIENCES IN TURKEY FOR THE 2013-2014 ACADEMIC YEAR AND THE 2014-2015 ACADEMIC YEAR 7- RANKING AND DOCUMENTS OF TURKEY IN MATHEMATICAL SCIENCES 8- PERIODICALS AND PUBLICATIONS 1-HISTORICAL BACKGROUND Two universities, the Istanbul University and the Istanbul Technical University have been influential in creating a mathematical community in Turkey. The Royal School of Naval Engineering, "Muhendishane-i Bahr-i Humayun", was established in 1773 with the responsibility to educate chart masters and ship builders. Gaining university status in 1928, the Engineering Academy continued to provide education in the fields of engineering and architecture and, in 1946, Istanbul Technical University became an autonomous university which included the Faculties of Architecture, Civil Engineering, Mechanical Engineering, and Electrical and Electronic Engineering. -
Mathematisches Forschungsinstitut Oberwolfach the Arithmetic of Fields
Mathematisches Forschungsinstitut Oberwolfach Report No. 05/2009 The Arithmetic of Fields Organised by Moshe Jarden (Tel Aviv) Florian Pop (Philadelphia) Leila Schneps (Paris) February 1st – February 7th, 2009 Abstract. The workshop “The Arithmetic of Fields” focused on a series of problems concerning the interplay between number theory, arithmetic and al- gebraic geometry, Galois theory, and model theory, such as: the Galois theory of function fields / covers of varieties, rational points on varieties, Galois co- homology, local-global principles, lifting/specializing covers of curves, model theory of finitely generated fields, etc. Mathematics Subject Classification (2000): 12E30. Introduction by the Organisers The sixth conference on “The Arithmetic of Fields” was organized by Moshe Jar- den (Tel Aviv), Florian Pop (Philadelphia), and Leila Schneps (Paris), and was held in the week February 1–7, 2009. The participants came from 14 countries: Germany (14), USA (11), France (7), Israel (7), Canada (2), England (2), Austria (1), Brazil (1), Hungary (1), Italy (1), Japan (1), South Africa (1), Switzerland (1), and The Netherlands (1). All together, 51 people attended the conference; among the participants there were thirteen young researchers, and eight women. Most of the talks concentrated on the main theme of Field Arithmetic, namely Galois theory and its interplay with the arithmetic of the fields. Several talks had an arithmetical geometry flavour. All together, the organizers find the blend of young and experienced researchers and the variety of subjects covered very satisfactory. The Arithmetic of Fields 3 Workshop: The Arithmetic of Fields Table of Contents Moshe Jarden New Fields With Free Absolute Galois Groups ...................... -
Cahit Arf: Exploring His Scientific Influence Using Social Network Analysis and Author Co-Citation Maps
Cahit Arf: Exploring His Scientific Influence Using Social Network Analysis and Author Co-citation Maps 1 2 Yaşar Tonta and A. Esra Özkan Çelik 1 [email protected] Department of Information Management, Hacettepe University, 06800 Beytepe, Ankara, TR 2 [email protected] Registrar's Office, Hacettepe University, 06800 Beytepe, Ankara, TR Abstract Cahit Arf (1910-1997), a famous Turkish scientist whose picture is depicted in one of the Turkish banknotes, is a well known figure in mathematics with his discoveries named after him (e.g., Arf invariant, Arf rings, the Hasse- Arf theorem). Although Arf may not be considered as a prolific scientist in terms of number of papers (he authored a total of 23 papers), his influence on mathematics and related disciplines was profound. As he was active before, during and after the World War II, Arf’s contributions were not properly listed in citation indexes and thus did not generate that many citations even though several papers with “Arf” in their titles appeared in the literature. This paper traces the influence of Arf in scientific world using citation analysis techniques first. It reviews the scientific impact of Arf by analyzing both the papers authored by Arf and papers whose titles or keywords contain various combinations of “Arf rings”, “Arf invariant”, and so on. The paper then goes on to study Arf’s contributions using social network analysis and author co-citation analysis techniques. CiteSpace and pennant diagrams are used to explore the scientific impact of Arf by mapping his cited references derived from Thomson Reuters’ Web of Science (WoS) database. -
The Arf-Kervaire Invariant Problem in Algebraic Topology: Introduction
THE ARF-KERVAIRE INVARIANT PROBLEM IN ALGEBRAIC TOPOLOGY: INTRODUCTION MICHAEL A. HILL, MICHAEL J. HOPKINS, AND DOUGLAS C. RAVENEL ABSTRACT. This paper gives the history and background of one of the oldest problems in algebraic topology, along with a short summary of our solution to it and a description of some of the tools we use. More details of the proof are provided in our second paper in this volume, The Arf-Kervaire invariant problem in algebraic topology: Sketch of the proof. A rigorous account can be found in our preprint The non-existence of elements of Kervaire invariant one on the arXiv and on the third author’s home page. The latter also has numerous links to related papers and talks we have given on the subject since announcing our result in April, 2009. CONTENTS 1. Background and history 3 1.1. Pontryagin’s early work on homotopy groups of spheres 3 1.2. Our main result 8 1.3. The manifold formulation 8 1.4. The unstable formulation 12 1.5. Questions raised by our theorem 14 2. Our strategy 14 2.1. Ingredients of the proof 14 2.2. The spectrum Ω 15 2.3. How we construct Ω 15 3. Some classical algebraic topology. 15 3.1. Fibrations 15 3.2. Cofibrations 18 3.3. Eilenberg-Mac Lane spaces and cohomology operations 18 3.4. The Steenrod algebra. 19 3.5. Milnor’s formulation 20 3.6. Serre’s method of computing homotopy groups 21 3.7. The Adams spectral sequence 21 4. Spectra and equivariant spectra 23 4.1. -
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. -
Abraham Robinson, 1918 - 1974
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY Volume 83, Number 4, July 1977 ABRAHAM ROBINSON, 1918 - 1974 BY ANGUS J. MACINTYRE 1. Abraham Robinson died in New Haven on April 11, 1974, some six months after the diagnosis of an incurable cancer of the pancreas. In the fall of 1973 he was vigorously and enthusiastically involved at Yale in joint work with Peter Roquette on a new model-theoretic approach to diophantine problems. He finished a draft of this in November, shortly before he underwent surgery. He spoke of his satisfaction in having finished this work, and he bore with unforgettable dignity the loss of his strength and the fading of his bright plans. He was supported until the end by Reneé Robinson, who had shared with him since 1944 a life given to science and art. There is common consent that Robinson was one of the greatest of mathematical logicians, and Gödel has stressed that Robinson more than any other brought logic closer to mathematics as traditionally understood. His early work on metamathematics of algebra undoubtedly guided Ax and Kochen to the solution of the Artin Conjecture. One can reasonably hope that his memory will be further honored by future applications of his penetrating ideas. Robinson was a gentleman, unfailingly courteous, with inexhaustible enthu siasm. He took modest pleasure in his many honors. He was much respected for his willingness to listen, and for the sincerity of his advice. As far as I know, nothing in mathematics was alien to him. Certainly his work in logic reveals an amazing store of general mathematical knowledge. -
2012 Cole Prize in Algebra
2012 Cole Prize in Algebra Alexander S. Merkurjev received the 2012 AMS speaker at the International Congress of Mathema- Frank Nelson Cole Prize in Algebra at the 118th An- ticians (Berkeley, 1986). Twice he has delivered nual Meeting of the AMS in Boston in January 2012. an invited address at the European Congress of Mathematics (1992, 1996), and he was a plenary Citation speaker in 1996 (Budapest). The 2012 Frank Nelson Cole Prize in Algebra is awarded to Alexander S. Merkurjev of the Univer- Response from Alexander S. Merkurjev sity of California, Los Angeles, for his work on the It is a great honor and great pleasure for me to essential dimension of groups. receive the 2012 Frank Nelson Cole Prize in Alge- The essential dimension of a finite or of an alge- bra. I would like to thank the American braic group G is the smallest number of parameters Mathematical Society and the Selection needed to describe G-actions. For instance, if G Committee for awarding the prize to is the symmetric group on n letters, this invari- me. ant counts the number of parameters needed to I am very grateful to my teacher, specify a field extension of degree n, which is the Andrei Suslin (he was awarded the algebraic form of Hilbert’s thirteenth problem. Merkurjev’s papers (“Canonical p-dimension Frank Nelson Cole Prize in Algebra in of algebraic groups”, with N. Karpenko, Adv. 2000). I also want to thank my parents, Math. 205 (2006), no. 2, 410–433; and “Essential family, friends, and colleagues for dimension of finite p-groups”, with N. -
A Topologist's View of Symmetric and Quadratic
1 A TOPOLOGIST'S VIEW OF SYMMETRIC AND QUADRATIC FORMS Andrew Ranicki (Edinburgh) http://www.maths.ed.ac.uk/eaar Patterson 60++, G¨ottingen,27 July 2009 2 The mathematical ancestors of S.J.Patterson Augustus Edward Hough Love Eidgenössische Technische Hochschule Zürich G. H. (Godfrey Harold) Hardy University of Cambridge Mary Lucy Cartwright University of Oxford (1930) Walter Kurt Hayman Alan Frank Beardon Samuel James Patterson University of Cambridge (1975) 3 The 35 students and 11 grandstudents of S.J.Patterson Schubert, Volcker (Vlotho) Do Stünkel, Matthias (Göttingen) Di Möhring, Leonhard (Hannover) Di,Do Bruns, Hans-Jürgen (Oldenburg?) Di Bauer, Friedrich Wolfgang (Frankfurt) Di,Do Hopf, Christof () Di Cromm, Oliver ( ) Di Klose, Joachim (Bonn) Do Talom, Fossi (Montreal) Do Kellner, Berndt (Göttingen) Di Martial Hille (St. Andrews) Do Matthews, Charles (Cambridge) Do (JWS Casels) Stratmann, Bernd O. (St. Andrews) Di,Do Falk, Kurt (Maynooth ) Di Kern, Thomas () M.Sc. (USA) Mirgel, Christa (Frankfurt?) Di Thirase, Jan (Göttingen) Di,Do Autenrieth, Michael (Hannover) Di, Do Karaschewski, Horst (Hamburg) Do Wellhausen, Gunther (Hannover) Di,Do Giovannopolous, Fotios (Göttingen) Do (ongoing) S.J.Patterson Mandouvalos, Nikolaos (Thessaloniki) Do Thiel, Björn (Göttingen(?)) Di,Do Louvel, Benoit (Lausanne) Di (Rennes), Do Wright, David (Oklahoma State) Do (B. Mazur) Widera, Manuela (Hannover) Di Krämer, Stefan (Göttingen) Di (Burmann) Hill, Richard (UC London) Do Monnerjahn, Thomas ( ) St.Ex. (Kriete) Propach, Ralf ( ) Di Beyerstedt, Bernd -
Harish-Chandra 1923–1983
NATIONAL ACADEMY OF SCIENCES HARISH- C HANDRA 1 9 2 3 – 1 9 8 3 A Biographical Memoir by R O G E R H O W E Any opinions expressed in this memoir are those of the author and do not necessarily reflect the views of the National Academy of Sciences. Biographical Memoir COPYRIGHT 2011 NATIONAL ACADEMY OF SCIENCES WASHINGTON, D.C. Photo by Herman Landshoff; Courtesy Archives of the Institute for Advanced Study. HARISH-CHANDRA October 11, 1923–October 12, 1983 BY ROGER HOWE He taught them the Kshatria code of honor: that a warrior may never refuse a challenge…. The Five Sons of Pandu, The Story of the Mahabharata Retold by Elizabeth Seeger ARISH-CHANDRA WAS, if not the exclusive architect, cer- Htainly the chief engineer of harmonic analysis on semisimple Lie groups. This subject, with roots deep in mathematical physics and analysis, is a synthesis of Fou- rier analysis, special functions and invariant theory, and it has become a basic tool in analytic number theory, via the theory of automorphic forms. It essentially did not ex- ist before World War II, but in very large part because of the labors of Harish-Chandra, it became one of the major mathematical edifices of the second half of the twentieth century. Harish-Chandra was born in 1923 in Uttar Pradesh, in northern India. His family belonged to the Kshatria (war- rior) caste. Kshatria traditionally were rulers, landowners, and military leaders, and more recently have commonly been businessmen or civil servants. Harish-Chandra’s father, Chandrakishore, was a civil engineer who monitored and maintained the dikes and irrigation canals that sustain agri- 3 B IOGRA P HICAL MEMOIRS culture on the North Indian plains. -
Doing Mathematics in Emmy Noether's Time
Doing mathematics in Emmy Noether’s time: A survey on the study and work situation of women mathematicians in Germany between the two World Wars Prof.Dr.habil. Ilka Agricola Philipps-Universit¨at Marburg Madrid, April 2019 — a tribute to the 100th anniversary of Noether’s habilitation — 1 What this talk is about. • History of science, because science is done by scientists, so their working and living conditions influence scientific progress • To be seen in historical context: Industrialisation and wars lead to deep changes in society, the formation of a working class, the need for engineers and other professionals, and sometimes a shortage of male employees • Partially based on a case study carried out in Marburg (2017/18) about the first generation of female math students in Marburg (see refs.) • Applies mainly to Germany and, to some extent, neighbouring countries; very different from situation in South Europe and elsewhere 1 Marburg: An old traditional university • Founded in 1527 by Philip I, Landgrave of Hesse • oldest protestant university in the world • Of relevance for us: As a consequence of the Austro-Prussian War (1866), Marburg and G¨ottingen became part of Prussia (the Electorate of Hesse and and the Kingdom of Hannover disappeared) • Hence, Marburg is typical for the development of universities in Germany’s largest state – to be honest, they developed much better after 1866. 1 Das ‘Mathematische Seminar’ • Mathematics was taught in Marburg since the foundation of the university 1527 (Papin, Wolff. ) • 1817: Foundation of the ‘Mathematisch- physikalisches Institut’ by Christian Gerling (student of C.F. Gauß) • 1885: Foudation of the Faculty by H. -
Henri Darmon
Henri Darmon Address: Dept of Math, McGill University, Burnside Hall, Montreal, PQ. E-mail: [email protected] Web Page: http://www.math.mcgill.ca/darmon Telephone: Work (514) 398-2263 Home: (514) 481-0174 Born: Oct. 22, 1965, in Paris, France. Citizenship: Canadian, French, and Swiss. Education: 1987. B.Sc. Mathematics and Computer Science, McGill University. 1991. Ph.D. Mathematics, Harvard University. Thesis: Refined class number formulas for derivatives of L-series. University Positions: 1991-1994. Princeton University, Instructor. 1994-1996. Princeton University, Assistant Professor. 1994-1997. McGill University, Assistant Professor. 1997-2000. McGill University, Associate Professor. 2000- . McGill University, Professor. 2005-2019. James McGill Professor, McGill University. Other positions: 1991-1994. Cercheur hors Qu´ebec, CICMA. 1994- . Chercheur Universitaire, CICMA. 1998- . Director, CICMA (Centre Interuniversitaire en Calcul Math´ematique Alg´ebrique). 1999- . Member, CRM (Centre de Recherches Math´ematiques). 2005-2014. External member, European network in Arithmetic Geometry. Visiting Positions: 1991. IHES, Paris. 1995. Universit´a di Pavia. 1996. Visiting member, MSRI, Berkeley. 1996. Visiting professor and guest lecturer, University of Barcelona. 1997. Visiting Professor, Universit´e Paris VI (Jussieu). 1997. Visitor, Institut Henri Poincar´e. 1998. Visiting Professor and NachDiplom lecturer, ETH, Zuric¨ h. 1999. Visiting professor, Universit`a di Pavia. 2001. Visiting professor, Universit`a di Padova. 2001. Korea Institute for Advanced Study. 2002. Visiting professor, RIMS and Saga University (Japan). 1 2003. Visiting Professor, Universit´e Paris VI, Paris. 2003. Visiting professor, Princeton University. 2004. Visiting Professor, Universit´e Paris VI, Paris. 2006. Visiting Professor, CRM, Barcelona, Spain. 2008. Visiting Professor, Universit´e Paris-Sud (Orsay). -
Prize Is Awarded Every Three Years at the Joint Mathematics Meetings
AMERICAN MATHEMATICAL SOCIETY LEVI L. CONANT PRIZE This prize was established in 2000 in honor of Levi L. Conant to recognize the best expository paper published in either the Notices of the AMS or the Bulletin of the AMS in the preceding fi ve years. Levi L. Conant (1857–1916) was a math- ematician who taught at Dakota School of Mines for three years and at Worcester Polytechnic Institute for twenty-fi ve years. His will included a bequest to the AMS effective upon his wife’s death, which occurred sixty years after his own demise. Citation Persi Diaconis The Levi L. Conant Prize for 2012 is awarded to Persi Diaconis for his article, “The Markov chain Monte Carlo revolution” (Bulletin Amer. Math. Soc. 46 (2009), no. 2, 179–205). This wonderful article is a lively and engaging overview of modern methods in probability and statistics, and their applications. It opens with a fascinating real- life example: a prison psychologist turns up at Stanford University with encoded messages written by prisoners, and Marc Coram uses the Metropolis algorithm to decrypt them. From there, the article gets even more compelling! After a highly accessible description of Markov chains from fi rst principles, Diaconis colorfully illustrates many of the applications and venues of these ideas. Along the way, he points to some very interesting mathematics and some fascinating open questions, especially about the running time in concrete situ- ations of the Metropolis algorithm, which is a specifi c Monte Carlo method for constructing Markov chains. The article also highlights the use of spectral methods to deduce estimates for the length of the chain needed to achieve mixing.