Curriculun Vitae
Total Page：16
File Type：pdf, Size：1020Kb
Load more
Recommended publications
-
DAVID A. BUCHSBAUM Professor of Mathematics
DAVID A. BUCHSBAUM Professor of Mathematics BIRTHDATE: November 6, 1929 EDUCATION: 1949 A.B. Columbia College, New York 1954 Ph.D.. Columbia University, New York PROFESSIONAL CAREER: 1953{54 Instructor of Mathematics Princeton University 1955{56 Instructor of Mathematics University of Chicago 1956{59 Assistant Professor, Brown University 1959{60 Associate Professor, Brown University 1961{63 Associate Professor, Brandeis University 1962{64 Chairman of the Mathematics Dept. Brandeis University 1963{1999 Professor, Brandeis University 1980{82 Chairman, Department of Mathematics Brandeis University 1994{96 Chairman, Department of Mathematics Brandeis University 1999{ Professor Emeritus, Brandeis University AWARDS AND HONORS: 1954{55 NSF Postdoctoral Research Fellowship 1957{99 National Science Foundation Research Grants 1960{61 National Science Foundation Senior Postdoctoral Research Fellowship 1965{66 Guggenheim Fellowship 1980 Sonderforschungsbereich Mathematik Research Appointment, (Bonn, Spring semester) 1983 SERC Fellowship (England), (Queen Mary College, University of London, Spring semester) 1989 JSPS Research Fellowship (Japan), Kyoto University (Spring) 1990{91 National Science Foundation Special Year Grant in Represen- tation Theory, Commutative Algebra and Combinatorics 1994 Berenson Chair in Mathematics, Brandeis University 1995 Election to American Academy of Arts and Sciences 1998 Bimester conference on Commutative algebra, homological algebra and representation theory, April to June, in Italy (Catania, Rome and Genoa) 1 2012 -
Fundamental Theorems in Mathematics
SOME FUNDAMENTAL THEOREMS IN MATHEMATICS OLIVER KNILL Abstract. An expository hitchhikers guide to some theorems in mathematics. Criteria for the current list of 243 theorems are whether the result can be formulated elegantly, whether it is beautiful or useful and whether it could serve as a guide [6] without leading to panic. The order is not a ranking but ordered along a time-line when things were writ- ten down. Since [556] stated “a mathematical theorem only becomes beautiful if presented as a crown jewel within a context" we try sometimes to give some context. Of course, any such list of theorems is a matter of personal preferences, taste and limitations. The num- ber of theorems is arbitrary, the initial obvious goal was 42 but that number got eventually surpassed as it is hard to stop, once started. As a compensation, there are 42 “tweetable" theorems with included proofs. More comments on the choice of the theorems is included in an epilogue. For literature on general mathematics, see [193, 189, 29, 235, 254, 619, 412, 138], for history [217, 625, 376, 73, 46, 208, 379, 365, 690, 113, 618, 79, 259, 341], for popular, beautiful or elegant things [12, 529, 201, 182, 17, 672, 673, 44, 204, 190, 245, 446, 616, 303, 201, 2, 127, 146, 128, 502, 261, 172]. For comprehensive overviews in large parts of math- ematics, [74, 165, 166, 51, 593] or predictions on developments [47]. For reflections about mathematics in general [145, 455, 45, 306, 439, 99, 561]. Encyclopedic source examples are [188, 705, 670, 102, 192, 152, 221, 191, 111, 635]. -
Maurice Auslander 1926--1994
maurice.qxp 5/8/98 1:47 PM Page 450 Maurice Auslander 1926–1994 Maurice Auslander died of cancer on November at the University of Chicago, the University of 18, 1994, in Trondheim, Norway. Michigan, and at the Institute for Advanced Auslander has made fundamental contribu- Study in Princeton. He joined Brandeis Univer- tions in many central parts of algebra. It would sity in 1957, where he was chairman 1960–1961 be senseless to try to describe his work within and 1976–1978. He held visiting positions in a given specialty or to present it under a par- Paris, Urbana, London, Trondheim, Austin, and ticular title. Quite the contrary, he liked to attack Blacksburg. He had fellowships from Sloan, problems by surprise, from ap- Guggenheim, and Fulbright, parently nowhere. This ap- and a few weeks before his proach resulted in many origi- death he was awarded a Senior nal theorems in commutative Humboldt Research Prize. Aus- and noncommutative ring the- lander was a Fellow of the ory, for orders and Brauer In American Academy of Arts and groups, and in the representa- Sciences and a member of the tion theory of Artin algebras as mathematics Royal Norwegian Society of Sci- well as in the theory of singu- ences and Letters. larities. Among the main char- he had a In commutative ring theory, acteristics of his work one will Auslander was immediately at- particularly remember the ex- sense for tracted by homological meth- treme elegance of the methods beauty. ods. The title of his first joint he liked to introduce and de- work with Buchsbaum was “Ho- velop and also his ability to pre- mological dimension in noe- sent and explain the crucial therian rings” (1956). -
Recent Developments in Representation Theory
673 Recent Developments in Representation Theory Maurice Auslander Distinguished Lectures and International Conference May 1–6, 2014 Woods Hole Oceanographic Institute, Woods Hole, MA Alex Martsinkovsky Gordana Todorov Kiyoshi Igusa Editors American Mathematical Society 673 Recent Developments in Representation Theory Maurice Auslander Distinguished Lectures and International Conference May 1–6, 2014 Woods Hole Oceanographic Institute, Woods Hole, MA Alex Martsinkovsky Gordana Todorov Kiyoshi Igusa Editors American Mathematical Society Providence, Rhode Island EDITORIAL COMMITTEE Dennis DeTurck, Managing Editor Michael Loss Kailash Misra Catherine Yan 2010 Mathematics Subject Classification. Primary 16G10, 16G20, 16G70, 16T05, 14N15. Library of Congress Cataloging-in-Publication Data Names: Maurice Auslander Distinguished Lectures and International Conference (2014: Woods Hole, Mass.) Martsinkovsky, A. (Alex), editor. — Todorov, G. (Gordana), editor. — Igusa, Kiyoshi, 1949- editor. Title: Recent developments in representation theory : Maurice Auslander Distinguished Lectures and International Conference : May 1-6, 2014, Woods Hole Oceanographic Institute, Woods Hole, Massachusetts / Alex Martsinkovsky, Gordana Todorov, Kiyoshi Igusa, editors. Description: Providence, Rhode Island : American Mathematical Society, [2016] — Series: Con- temporary mathematics ; volume 673 — Includes bibliographical references. Identifiers: LCCN 2016001389 — ISBN 9781470419554 (alk. paper) Subjects: LCSH: Associative rings–Congresses. — Representations of rings -
Curriculum Vitae
Curriculum Vitae Gordana G. Todorov March 01, 2021 EDUCATION: • Novosadski Univerzitet, Novi Sad, Yugoslavia Received equivalent to B.S. in October, 1971. • Northeastern University, Boston, Massachusetts Received M.S. in June, 1974. • Brandeis University, Waltham, Massachusetts Received Ph.D. in June, 1979. Thesis advisor: Maurice Auslander. EMPLOYMENT HISTORY: • Professor, Department of Mathematics, Northeastern University, Boston, Massachusetts, June 2011 - Present • Associate Professor, Department of Mathematics, Northeastern University, Boston, Massachusetts, September 1986 - June 2011 • Assistant Professor, Department of Mathematics, Northeastern University, Boston, Massachusetts, September 1980 - August 1986 • Assistant Professor, Department of Mathematics, University of Georgia, Athens, Georgia, September 1979 - August 1980 GRANTS: • NSF/DMS-1818413 (May 01.2018-April 30.2021) Maurice Auslander International Conference, PI. • NSF/DMS-1521103 (May 01.2015-April 30.2017) Maurice Auslander International Conference, PI. • Support for Cluster Algebra Program at MSRI, Fall 2012. • NSF/DMS-1162304 (Feb. 2012 - Jan. 2015) Maurice Auslander International Conference, PI. • NSA-grant MSPF-08G-228 (January 2009 - June 2011), Representation Theory, Cluster Categories, PI. • ENHACE-grant, Office of the Provost, Northeastern University (October 2007 - December 2008), Cluster Categories and Related Topics in Representation Theory, PI. • Supported by several NSF and RSDF Grants (in the past). AREA of INTEREST: Representation theory of Artin algebras, Non-commutative algebra, Homological conjectures, Representations of quivers, Cluster categories, Cluster algebras, Semi-invariants, Triangulated categories, Derived categories, Friezes. 1. RESEARCH PUBLICATIONS: [BCJKT] Infinite friezes and triangulations of annuli, (with K. Baur, I. Canakci, K. M. Jacobsen, M. Kulkarni), arXiv:2007.09411, (submitted). [IT14] Picture groups and maximal green sequences, (with Kiyoshi Igusa), arXiv:200720 (to appear in AIMS' Journals). -
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. -
Prospecies of Algebras I: Basic Properties
PRO-SPECIES OF ALGEBRAS I: BASIC PROPERTIES JULIAN KULSHAMMER¨ Institute of Algebra and Number Theory, University of Stuttgart Pfaffenwaldring 57 70569 Stuttgart, Germany Abstract. In this paper, we generalise part of the theory of hereditary algebras to the context of pro-species of algebras. Here, a pro-species is a generalisation of Gabriel’s concept of species gluing algebras via projective bimodules along a quiver to obtain a new algebra. This provides a categorical perspective on a recent paper by Geiß, Leclerc, and Schr¨oer [GLS16]. In particular, we construct a corresponding preprojective algebra, and establish a theory of a separated pro-species yielding a stable equivalence between certain functorially finite subcategories. arXiv:1608.01934v2 [math.RT] 6 Mar 2017 E-mail address: [email protected]. Date: October 6, 2018. Key words and phrases. species, valued quiver, preprojective algebra, reflection functors, separated quiver. The author would like to thank Chrysostomos Psaroudakis, Sondre Kvamme, and the anonymous referee for helpful comments on previous versions of the paper. 1 2 1. Introduction The representation theory of finite dimensional hereditary algebras is among the best understood theories to date. Over algebraically closed fields, hereditary algebras are given by path algebras of finite acyclic quivers. Over more general fields, species, introduced by Gabriel [Gab73], form another class of hereditary algebras, which in the case that the ground field is perfect exhaust all finite dimensional hereditary algebras. Species can be regarded as skew fields glued via bimodules along a quiver to obtain an algebra. Their representation theory was studied intensively by Dlab and Ringel in a series of papers [DR74a, DR74b, DR75, DR76, DR80]. -
View Front and Back Matter from the Print Issue
VOLUME 107 NUMBER 4 December 1989 WHOLE NUMBER 366 Proceedings JL. OFTHE AMERICAN MATHEMATICAL SOCIETY EDITED BY William Adams J. Marshall Ash Maurice Auslander Andreas R. Blass Thomas H. Brylawski Dennis Burke Frederick R. Cohen William J. Davis, Managing Editor Clifford J. Earle, Jr. Palle E. T. Jorgensen Barbara L. Keyfitz R. Daniel Mauldin Kenneth R. Meyer' Paul S. Muhly Andrew Odlyzko George C. Papanicolaou Louis J. Ratliff, Jr. Jonathan M. Rosenberg William D. Sudderth James E. West Warren J. Wong PROVIDENCE,RHODE ISLAND USA ISSN 0002-9939 Proceedings of the American Mathematical Society This journal is devoted entirely to research in pure and applied mathematics. Editorial Policy To be published in the Proceedings, a paper must be correct, new, nontrivial and significant. Further, it must be well written and of interest to a substantial number of mathematicians. Piecemeal results, such as an inconclusive step toward an unproved major theorem or a minor variation on a known result, are in general not acceptable for publication. Proceedings Editors shall solicit, and encourage publication of, worthy papers of length not exceeding 15 typed pages. Very short notes not to exceed two printed pages are also accepted, and appear under the heading Shorter notes. Items deemed suitable include an elegant new proof of an important and well-known theorem, an illluminating example or counterexample, or a new viewpoint on familiar results. New results, if of a brief and striking character, might also be acceptable, though in general a paper which is merely very short will not be suitable for the Shorter notes department. -
Jakob Milich Albert-Ludwigs-Universität Freiburg Im Breisgau / Universität Wien Nicoló Fontana Tartaglia 1520
Jakob Milich Albert-Ludwigs-Universität Freiburg im Breisgau / Universität Wien Nicoló Fontana Tartaglia 1520 Erasmus Reinhold Bonifazius Erasmi Martin-Luther-Universität Halle-Wittenberg Martin-Luther-Universität Halle-Wittenberg Ostilio Ricci 1535 1509 Universita' di Brescia Johannes Volmar Galileo Galilei Valentine Naibod Nicolaus Copernicus (Mikołaj Kopernik) Martin-Luther-Universität Halle-Wittenberg Università di Pisa Martin-Luther-Universität Halle-Wittenberg / Universität Erfurt 1499 1515 1585 Rudolph (Snel van Royen) Snellius Georg Joachim von Leuchen Rheticus Benedetto Castelli Petrus Ryff Universität zu Köln / Ruprecht-Karls-Universität Heidelberg Ludolph van Ceulen Martin-Luther-Universität Halle-Wittenberg Università di Padova Gilbert Jacchaeus Universität Basel 1572 1535 1610 University of St. Andrews / Universität Helmstedt / Universiteit Leiden 1584 Willebrord (Snel van Royen) Snellius Marin Mersenne Moritz Valentin Steinmetz Adolph Vorstius Emmanuel Stupanus Universiteit Leiden Université Paris IV-Sorbonne Universität Leipzig Evangelista Torricelli Universiteit Leiden / Università di Padova Universität Basel 1607 1611 1550 Università di Roma La Sapienza 1619 1613 Jacobus Golius Christoph Meurer Vincenzo Viviani Franciscus de le Boë Sylvius Georg Balthasar Metzger Johann Caspar Bauhin Universiteit Leiden Gilles Personne de Roberval Universität Leipzig Università di Pisa Universiteit Leiden / Universität Basel Friedrich-Schiller-Universität Jena / Universität Basel Universität Basel 1612 1582 1642 1634 1644 1649 Frans van -
Cohen-Macaulay Representations
Mathematical Surveys and Monographs Volume 181 Cohen-Macaulay Representations Graham J. Leuschke Roger Wiegand American Mathematical Society http://dx.doi.org/10.1090/surv/181 Cohen-Macaulay Representations Mathematical Surveys and Monographs Volume 181 Cohen-Macaulay Representations Graham J. Leuschke Roger Wiegand American Mathematical Society Providence, Rhode Island EDITORIAL COMMITTEE Ralph L. Cohen, Chair MichaelA.Singer Jordan S. Ellenberg Benjamin Sudakov MichaelI.Weinstein 2010 Mathematics Subject Classification. Primary 13C14, 16G50; Secondary 13B40, 13C05, 13C60, 13H10, 16G10, 16G60, 16G70. For additional information and updates on this book, visit www.ams.org/bookpages/surv-181 Library of Congress Cataloging-in-Publication Data Leuschke, Graham J., 1973– Cohen-Macaulay representations / Graham J. Leuschke, Roger Wiegand. p. cm. — (Mathematical surveys and monographs ; v. 181) Includes bibliographical references and index. ISBN 978-0-8218-7581-0 (alk. paper) 1. Cohen-Macaulay modules. 2. Representations of rings (Algebra) I. Wiegand, Roger, 1943– II. Title. QA251.3.L48 2012 512.44—dc23 2012002344 Copying and reprinting. Individual readers of this publication, and nonprofit libraries acting for them, are permitted to make fair use of the material, such as to copy a chapter for use in teaching or research. Permission is granted to quote brief passages from this publication in reviews, provided the customary acknowledgment of the source is given. Republication, systematic copying, or multiple reproduction of any material in this publication is permitted only under license from the American Mathematical Society. Requests for such permission should be addressed to the Acquisitions Department, American Mathematical Society, 201 Charles Street, Providence, Rhode Island 02904-2294 USA. Requests can also be made by e-mail to [email protected]. -
Maurice Auslander 1926-1994
maurice.qxp 5/8/98 1:47 PM Page 450 Maurice Auslander 1926–1994 Maurice Auslander died of cancer on November at the University of Chicago, the University of 18, 1994, in Trondheim, Norway. Michigan, and at the Institute for Advanced Auslander has made fundamental contribu Study in Princeton. He joined Brandeis Univer tions in many central parts of algebra. It would sity in 1957, where he was chairman 1960–1961 be senseless to try to describe his work within and 1976–1978. He held visiting positions in a given specialty or to present it under a par Paris, Urbana, London, Trondheim, Austin, and ticular title. Quite the contrary, he liked to attack Blacksburg. He had fellowships from Sloan, problems by surprise, from ap Guggenheim, and Fulbright, parently nowhere. This ap and a few weeks before his proach resulted in many origi death he was awarded a Senior nal theorems in commutative Humboldt Research Prize. Aus and noncommutative ring the lander was a Fellow of the ory, for orders and Brauer In American Academy of Arts and groups, and in the representa Sciences and a member of the tion theory of Artin algebras as mathematics Royal Norwegian Society of Sci well as in the theory of singu ences and Letters. larities. Among the main char he had a In commutative ring theory, acteristics of his work one will Auslander was immediately at particularly remember the ex sense for tracted by homological meth treme elegance of the methods beauty. ods. The title of his first joint he liked to introduce and de work with Buchsbaum was “Ho velop and also his ability to pre mological dimension in noe sent and explain the crucial therian rings” (1956). -
Letters to the Editor, Volume 42, Number 3
letters.qxp 3/17/99 10:10 AM Page 325 Letters to the Editor Comments on Kahane- Krickeberg-Lorch Letter As a reciprocity member of both the American Mathematical Society and the Deutsche Mathematiker-Vere- inigung, I am very disturbed to see an about attack made in the letters to the No- this. As for the tices (vol. 41, number 6) on the DMV. “historically ac- The first question to be asked is how German curate perspective”, the AMS is involved: the letter should mathemati- Bieberbach’s activities surely have been directed to the DMV. cians but with the DMV are fully The authors say that an “historically which brought no described in the DMV cen- accurate perspective” on the past is personal advantage to him. Let it tenary publication Ein being “withheld”. Do they claim to only be said: Bieberbach later rec- Jahrhundert Mathematik, have a superior perspective to those ognized and deeply regretted these er- and his activities as de- who are genuinely trying to under- rors, as is confirmed by well-war- partment head in Berlin are stand what happened under Hitler? ranted assertions.” This is a perfectly described in highly critical terms. No The attacks which they proceed to fair statement, in accordance with the mathematician admires what Bieber- make on their mathematical colleagues usual perception of an obituary notice. bach did in these matters, but to do not suggest that they have. It is surely at least plausible that doubt “current willingness to face the Their first complaint concerns the Bieberbach did regret his activities: it past” in his case is absurd.