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Locally Compact Groups: Traditions and Trends Karl Heinrich Hofmann Technische Universitat Darmstadt, [email protected]
University of Dayton eCommons Summer Conference on Topology and Its Department of Mathematics Applications 6-2017 Locally Compact Groups: Traditions and Trends Karl Heinrich Hofmann Technische Universitat Darmstadt, [email protected] Wolfgang Herfort Francesco G. Russo Follow this and additional works at: http://ecommons.udayton.edu/topology_conf Part of the Geometry and Topology Commons, and the Special Functions Commons eCommons Citation Hofmann, Karl Heinrich; Herfort, Wolfgang; and Russo, Francesco G., "Locally Compact Groups: Traditions and Trends" (2017). Summer Conference on Topology and Its Applications. 47. http://ecommons.udayton.edu/topology_conf/47 This Plenary Lecture is brought to you for free and open access by the Department of Mathematics at eCommons. It has been accepted for inclusion in Summer Conference on Topology and Its Applications by an authorized administrator of eCommons. For more information, please contact [email protected], [email protected]. Some Background Notes Some \new" tools Near abelian groups Applications Alexander Doniphan Wallace (1905{1985) Gordon Thomas Whyburn Robert Lee Moore Some Background Notes Some \new" tools Near abelian groups Applications \The best mathematics is the most mixed-up mathematics, those disciplines in which analysis, algebra and topology all play a vital role." Gordon Thomas Whyburn Robert Lee Moore Some Background Notes Some \new" tools Near abelian groups Applications \The best mathematics is the most mixed-up mathematics, those disciplines in which -
Publications of Members, 1930-1954
THE INSTITUTE FOR ADVANCED STUDY PUBLICATIONS OF MEMBERS 1930 • 1954 PRINCETON, NEW JERSEY . 1955 COPYRIGHT 1955, BY THE INSTITUTE FOR ADVANCED STUDY MANUFACTURED IN THE UNITED STATES OF AMERICA BY PRINCETON UNIVERSITY PRESS, PRINCETON, N.J. CONTENTS FOREWORD 3 BIBLIOGRAPHY 9 DIRECTORY OF INSTITUTE MEMBERS, 1930-1954 205 MEMBERS WITH APPOINTMENTS OF LONG TERM 265 TRUSTEES 269 buH FOREWORD FOREWORD Publication of this bibliography marks the 25th Anniversary of the foundation of the Institute for Advanced Study. The certificate of incorporation of the Institute was signed on the 20th day of May, 1930. The first academic appointments, naming Albert Einstein and Oswald Veblen as Professors at the Institute, were approved two and one- half years later, in initiation of academic work. The Institute for Advanced Study is devoted to the encouragement, support and patronage of learning—of science, in the old, broad, undifferentiated sense of the word. The Institute partakes of the character both of a university and of a research institute j but it also differs in significant ways from both. It is unlike a university, for instance, in its small size—its academic membership at any one time numbers only a little over a hundred. It is unlike a university in that it has no formal curriculum, no scheduled courses of instruction, no commitment that all branches of learning be rep- resented in its faculty and members. It is unlike a research institute in that its purposes are broader, that it supports many separate fields of study, that, with one exception, it maintains no laboratories; and above all in that it welcomes temporary members, whose intellectual development and growth are one of its principal purposes. -
Oswald Veblen
NATIONAL ACADEMY OF SCIENCES O S W A L D V E B LEN 1880—1960 A Biographical Memoir by S A U N D E R S M A C L ANE 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 1964 NATIONAL ACADEMY OF SCIENCES WASHINGTON D.C. OSWALD VEBLEN June 24,1880—August 10, i960 BY SAUNDERS MAC LANE SWALD VEBLEN, geometer and mathematical statesman, spanned O in his career the full range of twentieth-century Mathematics in the United States; his leadership in transmitting ideas and in de- veloping young men has had a substantial effect on the present mathematical scene. At the turn of the century he studied at Chi- cago, at the period when that University was first starting the doc- toral training of young Mathematicians in this country. He then continued at Princeton University, where his own work and that of his students played a leading role in the development of an outstand- ing department of Mathematics in Fine Hall. Later, when the In- stitute for Advanced Study was founded, Veblen became one of its first professors, and had a vital part in the development of this In- stitute as a world center for mathematical research. Veblen's background was Norwegian. His grandfather, Thomas Anderson Veblen, (1818-1906) came from Odegaard, Homan Con- gregation, Vester Slidre Parish, Valdris. After work as a cabinet- maker and as a Norwegian soldier, he was anxious to come to the United States. -
Luther Pfahler Eisenhart
NATIONAL ACADEMY OF SCIENCES L UTHER PFAHLER E ISENHART 1876—1965 A Biographical Memoir by S O L O M O N L EFSCHETZ 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 1969 NATIONAL ACADEMY OF SCIENCES WASHINGTON D.C. LUTHER PFAHLER EISENHART January 13, 1876-October 28,1965 BY SOLOMON LEFSCHETZ UTHER PFAHLER EISENHART was born in York, Pennsylvania, L to an old York family. He entered Gettysburg College in 1892. In his mid-junior and senior years he was the only student in mathematics, so his professor replaced classroom work by individual study of books plus reports. He graduated in 1896 and taught one year in the preparatory school of the college. He entered the Johns Hopkins Graduate School in 1897 and ob- tained his doctorate in 1900. In the fall of the latter year he began his career at Princeton as instructor in mathematics, re- maining at Princeton up to his retirement in 1945. In 1905 he was appointed by Woodrow Wilson (no doubt on Dean Henry B. Fine's suggestion) as one of the distinguished preceptors with the rank of assistant professor. This was in accordance with the preceptorial plan which Wilson introduced to raise the educational tempo of Princeton. There followed a full pro- fessorship in 1909 and deanship of the Faculty in 1925, which was combined with the chairmanship of the Department of Math- ematics as successor to Dean Fine in January 1930. In 1933 Eisenhart took over the deanship of the Graduate School. -
A Century of Mathematics in America, Peter Duren Et Ai., (Eds.), Vol
Garrett Birkhoff has had a lifelong connection with Harvard mathematics. He was an infant when his father, the famous mathematician G. D. Birkhoff, joined the Harvard faculty. He has had a long academic career at Harvard: A.B. in 1932, Society of Fellows in 1933-1936, and a faculty appointmentfrom 1936 until his retirement in 1981. His research has ranged widely through alge bra, lattice theory, hydrodynamics, differential equations, scientific computing, and history of mathematics. Among his many publications are books on lattice theory and hydrodynamics, and the pioneering textbook A Survey of Modern Algebra, written jointly with S. Mac Lane. He has served as president ofSIAM and is a member of the National Academy of Sciences. Mathematics at Harvard, 1836-1944 GARRETT BIRKHOFF O. OUTLINE As my contribution to the history of mathematics in America, I decided to write a connected account of mathematical activity at Harvard from 1836 (Harvard's bicentennial) to the present day. During that time, many mathe maticians at Harvard have tried to respond constructively to the challenges and opportunities confronting them in a rapidly changing world. This essay reviews what might be called the indigenous period, lasting through World War II, during which most members of the Harvard mathe matical faculty had also studied there. Indeed, as will be explained in §§ 1-3 below, mathematical activity at Harvard was dominated by Benjamin Peirce and his students in the first half of this period. Then, from 1890 until around 1920, while our country was becoming a great power economically, basic mathematical research of high quality, mostly in traditional areas of analysis and theoretical celestial mechanics, was carried on by several faculty members. -
Perspective the PNAS Way Back Then
Proc. Natl. Acad. Sci. USA Vol. 94, pp. 5983–5985, June 1997 Perspective The PNAS way back then Saunders Mac Lane, Chairman Proceedings Editorial Board, 1960–1968 Department of Mathematics, University of Chicago, Chicago, IL 60637 Contributed by Saunders Mac Lane, March 27, 1997 This essay is to describe my experience with the Proceedings of ings. Bronk knew that the Proceedings then carried lots of math. the National Academy of Sciences up until 1970. Mathemati- The Council met. Detlev was not a man to put off till to cians and other scientists who were National Academy of tomorrow what might be done today. So he looked about the Science (NAS) members encouraged younger colleagues by table in that splendid Board Room, spotted the only mathe- communicating their research announcements to the Proceed- matician there, and proposed to the Council that I be made ings. For example, I can perhaps cite my own experiences. S. Chairman of the Editorial Board. Then and now the Council Eilenberg and I benefited as follows (communicated, I think, did not often disagree with the President. Probably nobody by M. H. Stone): ‘‘Natural isomorphisms in group theory’’ then knew that I had been on the editorial board of the (1942) Proc. Natl. Acad. Sci. USA 28, 537–543; and “Relations Transactions, then the flagship journal of the American Math- between homology and homotopy groups” (1943) Proc. Natl. ematical Society. Acad. Sci. USA 29, 155–158. Soon after this, the Treasurer of the Academy, concerned The second of these papers was the first introduction of a about costs, requested the introduction of page charges for geometrical object topologists now call an “Eilenberg–Mac papers published in the Proceedings. -
Curriculum Vitae
Curriculum Vitae Assaf Naor Address: Princeton University Department of Mathematics Fine Hall 1005 Washington Road Princeton, NJ 08544-1000 USA Telephone number: +1 609-258-4198 Fax number: +1 609-258-1367 Electronic mail: [email protected] Web site: http://web.math.princeton.edu/~naor/ Personal Data: Date of Birth: May 7, 1975. Citizenship: USA, Israel, Czech Republic. Employment: • 2002{2004: Post-doctoral Researcher, Theory Group, Microsoft Research. • 2004{2007: Permanent Member, Theory Group, Microsoft Research. • 2005{2007: Affiliate Assistant Professor of Mathematics, University of Washington. • 2006{2009: Associate Professor of Mathematics, Courant Institute of Mathematical Sciences, New York University (on leave Fall 2006). • 2008{2015: Associated faculty member in computer science, Courant Institute of Mathematical Sciences, New York University (on leave in the academic year 2014{2015). • 2009{2015: Professor of Mathematics, Courant Institute of Mathematical Sciences, New York University (on leave in the academic year 2014{2015). • 2014{present: Professor of Mathematics, Princeton University. • 2014{present: Associated Faculty, The Program in Applied and Computational Mathematics (PACM), Princeton University. • 2016 Fall semester: Henry Burchard Fine Professor of Mathematics, Princeton University. • 2017{2018: Member, Institute for Advanced Study. • 2020 Spring semester: Henry Burchard Fine Professor of Mathematics, Princeton University. 1 Education: • 1993{1996: Studies for a B.Sc. degree in Mathematics at the Hebrew University in Jerusalem. Graduated Summa Cum Laude in 1996. • 1996{1998: Studies for an M.Sc. degree in Mathematics at the Hebrew University in Jerusalem. M.Sc. thesis: \Geometric Problems in Non-Linear Functional Analysis," prepared under the supervision of Joram Lindenstrauss. Graduated Summa Cum Laude in 1998. -
Academic Genealogy of the Oakland University Department Of
Basilios Bessarion Mystras 1436 Guarino da Verona Johannes Argyropoulos 1408 Università di Padova 1444 Academic Genealogy of the Oakland University Vittorino da Feltre Marsilio Ficino Cristoforo Landino Università di Padova 1416 Università di Firenze 1462 Theodoros Gazes Ognibene (Omnibonus Leonicenus) Bonisoli da Lonigo Angelo Poliziano Florens Florentius Radwyn Radewyns Geert Gerardus Magnus Groote Università di Mantova 1433 Università di Mantova Università di Firenze 1477 Constantinople 1433 DepartmentThe Mathematics Genealogy Project of is a serviceMathematics of North Dakota State University and and the American Statistics Mathematical Society. Demetrios Chalcocondyles http://www.mathgenealogy.org/ Heinrich von Langenstein Gaetano da Thiene Sigismondo Polcastro Leo Outers Moses Perez Scipione Fortiguerra Rudolf Agricola Thomas von Kempen à Kempis Jacob ben Jehiel Loans Accademia Romana 1452 Université de Paris 1363, 1375 Université Catholique de Louvain 1485 Università di Firenze 1493 Università degli Studi di Ferrara 1478 Mystras 1452 Jan Standonck Johann (Johannes Kapnion) Reuchlin Johannes von Gmunden Nicoletto Vernia Pietro Roccabonella Pelope Maarten (Martinus Dorpius) van Dorp Jean Tagault François Dubois Janus Lascaris Girolamo (Hieronymus Aleander) Aleandro Matthaeus Adrianus Alexander Hegius Johannes Stöffler Collège Sainte-Barbe 1474 Universität Basel 1477 Universität Wien 1406 Università di Padova Università di Padova Université Catholique de Louvain 1504, 1515 Université de Paris 1516 Università di Padova 1472 Università -
January 2013 Prizes and Awards
January 2013 Prizes and Awards 4:25 P.M., Thursday, January 10, 2013 PROGRAM SUMMARY OF AWARDS OPENING REMARKS FOR AMS Eric Friedlander, President LEVI L. CONANT PRIZE: JOHN BAEZ, JOHN HUERTA American Mathematical Society E. H. MOORE RESEARCH ARTICLE PRIZE: MICHAEL LARSEN, RICHARD PINK DEBORAH AND FRANKLIN TEPPER HAIMO AWARDS FOR DISTINGUISHED COLLEGE OR UNIVERSITY DAVID P. ROBBINS PRIZE: ALEXANDER RAZBOROV TEACHING OF MATHEMATICS RUTH LYTTLE SATTER PRIZE IN MATHEMATICS: MARYAM MIRZAKHANI Mathematical Association of America LEROY P. STEELE PRIZE FOR LIFETIME ACHIEVEMENT: YAKOV SINAI EULER BOOK PRIZE LEROY P. STEELE PRIZE FOR MATHEMATICAL EXPOSITION: JOHN GUCKENHEIMER, PHILIP HOLMES Mathematical Association of America LEROY P. STEELE PRIZE FOR SEMINAL CONTRIBUTION TO RESEARCH: SAHARON SHELAH LEVI L. CONANT PRIZE OSWALD VEBLEN PRIZE IN GEOMETRY: IAN AGOL, DANIEL WISE American Mathematical Society DAVID P. ROBBINS PRIZE FOR AMS-SIAM American Mathematical Society NORBERT WIENER PRIZE IN APPLIED MATHEMATICS: ANDREW J. MAJDA OSWALD VEBLEN PRIZE IN GEOMETRY FOR AMS-MAA-SIAM American Mathematical Society FRANK AND BRENNIE MORGAN PRIZE FOR OUTSTANDING RESEARCH IN MATHEMATICS BY ALICE T. SCHAFER PRIZE FOR EXCELLENCE IN MATHEMATICS BY AN UNDERGRADUATE WOMAN AN UNDERGRADUATE STUDENT: FAN WEI Association for Women in Mathematics FOR AWM LOUISE HAY AWARD FOR CONTRIBUTIONS TO MATHEMATICS EDUCATION LOUISE HAY AWARD FOR CONTRIBUTIONS TO MATHEMATICS EDUCATION: AMY COHEN Association for Women in Mathematics M. GWENETH HUMPHREYS AWARD FOR MENTORSHIP OF UNDERGRADUATE -
Mcshane-E-J.Pdf
NATIONAL ACADEMY OF SCIENCES EDWARD JAMES MCSHANE 1904–1989 A Biographical Memoir by LEONARD D. BERKOVITZ AND WENDELL H. FLEMING Any opinions expressed in this memoir are those of the authors and do not necessarily reflect the views of the National Academy of Sciences. Biographical Memoirs, VOLUME 80 PUBLISHED 2001 BY THE NATIONAL ACADEMY PRESS WASHINGTON, D.C. EDWARD JAMES MCSHANE May 10, 1904–June 1, 1989 BY LEONARD D. BERKOVITZ AND WENDELL H. FLEMING URING HIS LONG CAREER Edward James McShane made D significant contributions to the calculus of variations, integration theory, stochastic calculus, and exterior ballistics. In addition, he served as a national leader in mathematical and science policy matters and in efforts to improve the undergraduate mathematical curriculum. McShane was born in New Orleans on May 10, 1904, and grew up there. His father, Augustus, was a medical doctor and his mother, Harriet, a former schoolteacher. He gradu- ated from Tulane University in 1925, receiving simultaneously bachelor of engineering and bachelor of science degrees, as well as election to Phi Beta Kappa. He turned down an offer from General Electric and instead continued as a student instructor of mathematics at Tulane, receiving a master’s degree in 1927. In the summer of 1927 McShane entered graduate school at the University of Chicago, from which he received his Ph.D. in 1930 under the supervision of Gilbert Ames Bliss. He interrupted his studies during 1928-29 for financial reasons to teach at the University of Wichita. It was at Chicago that McShane’s long-standing interest in the calculus of variations began. -
Maandblad Voor • Orgaan Van De Didactiek De Nederlandse Van De
Maandblad voor • Orgaan van de Nederlandse de didactiek van de wiskunde Vereniging van Wisku ndeleraren 55e jaargang 1979/1980 no. 4 december Wolters-Noordhoff EUCLIDES Redactie: B. Zwaneveld, voorzitter - Drs. S. A. Muller, secretaris - Dr. F. Goffree - Dr. P. M. van Hiele-W. Kleine- Drs. J. van Lint - L. A. G. M. Muskens- W. P. de Porto - P. Th. Sanders - Dr. P. G. J. Vredenduin. Euclides is het orgaan van de Nederlandse Vereniging van Wiskundeleraren. Het blad verschijnt 10 maal per cursusjaar. Nederlandse Vereniging van Wiskundeleraren Voorzitter: Dr. Th. J. Korthagen, Torenlaan 12, 7231 CB Warnsveld, tel. 05750-15105. Secretaris: Drs. J. W. Maassen, Traviatastraat 132, 2555 VJ Den Haag. Penningmeester en ledenadministratie: Drs. J. van Dormolen, Kapteynlaan 105, 3571 XN Utrecht. Postrekening nr. 143917 t.n.v. Ver. v. Wiskundeleraren, te Amsterdam. De contributie bedraagt f 40,— per verenigingsjaar; studentleden en Belgische leden die ook lid zijn van de V.V.W.L. f 27,—; contributie zonder Euclides f 20,—. Adreswijziging en opgave van nieuwe leden (met vermelding van evt. gironummer) aan de penningmeester. Opzeggingen v66r 1 augustus. Artikelen ter opname worden ingewacht bij B. Zwaneveld, Haringvlietstraat 911, 1078JX Amsterdam, tel. 020-73 89 12. Zij dienen met de machine geschreven te zijn met een marge van 5cm en een regelafstand van 1 1/2. Boeken ter recensie aan W. Kleijne, Treverilaan 39, 7312 HB Apeldoorn, tel. 055-25 08 34. Mededelingen, enz. voor de redactie aan Drs. S. A. Muller, Van Lynden van Sandenburglaan 63, 3571 BB Utrecht, tel. 030-71 0965. Opgave voor deelname aan de leesportefeuille (buitenlandse tijdschriften) aan A. -
George David Birkhoff and His Mathematical Work
GEORGE DAVID BIRKHOFF AND HIS MATHEMATICAL WORK MARSTON MORSE The writer first saw Birkhoff in the fall of 1914. The graduate stu dents were meeting the professors of mathematics of Harvard in Sever 20. Maxime Bôcher, with his square beard and squarer shoes, was presiding. In the back of the room, with a different beard but equal dignity, William Fogg Osgood was counseling a student. Dun ham Jackson, Gabriel Green, Julian Coolidge and Charles Bouton were in the business of being helpful. The thirty-year-old Birkhoff was in the front row. He seemed tall even when seated, and a friendly smile disarmed a determined face. I had no reason to speak to him, but the impression he made upon me could not be easily forgotten. His change from Princeton University to Harvard in 1912 was de cisive. Although he later had magnificent opportunities to serve as a research professor in institutions other than Harvard he elected to remain in Cambridge for life. He had been an instructor at Wisconsin from 1907 to 1909 and had profited from his contacts with Van Vleck. As a graduate student in Chicago he had known Veblen and he con tinued this friendsip in the halls of Princeton. Starting college in 1902 at the University of Chicago, he changed to Harvard, remained long enough to get an A.B. degree, and then hurried back to Chicago, where he finished his graduate work in 1907. It was in 1908 that he married Margaret Elizabeth Grafius. It was clear that Birkhoff depended from the beginning to the end on her deep understanding and encouragement.