Robert Guralnick
Robert Michael Guralnick (born July 10, 1950 in Los Angeles ) is an American mathematician and professor at the University of Southern California who studies algebra .
Guralnick studied at the University of California, Los Angeles with a bachelor's degree in 1972, from which he received his doctorate in 1977 with Basil Gordon ( Expressing Group Elements as Products of Commutators ). As a post-doctoral student , he was a Bateman Research Instructor at Caltech from 1977 to 1979 . In 1979 he became an assistant professor and an associate professor in 1988 and a professor at the University of Southern California in the same year.
He deals with finite and algebraic groups and their representation theory, with linear algebra and with applications of group theory in arithmetic algebraic geometry, Galois theory and algebraic geometry of curves.
He was visiting professor at Yale University, Rutgers University, MSRI , Caltech , visiting scholar at Princeton University, the Institute for Advanced Study at the Hebrew University in Jerusalem, the Isaac Newton Institute in Cambridge and the Institute for Advanced Study (2005 / 06, 2010).
He is on the editorial board of the Bulletin of the American Mathematical Society (2016). In 2012 he became a Fellow of the American Mathematical Society . In 2012/13 he was a Simons Foundation Fellow. He is a Fellow of Clare Hall, Cambridge University. In 2014 he was invited speaker at the International Congress of Mathematicians in Seoul (Applications of the classification of finite simple groups). For 2018 he was awarded the AMS Cole Prize .
From 2004 to 2013 he was Managing Editor of the Memoirs of the AMS and the Transactions of the AMS.
Fonts (selection)
- with John Shareshian: Symmetric and alternating groups as monodromy groups of Riemann surfaces, Volume 1: Generic covers and covers with many branch points, Memoirs American Mathematical Society 2007
- with Peter Müller, Jan Saxl: The rational function analogue of a question of Schur and exceptionality of permutation representations, Memoirs American Mathematical Society 2003, Arxiv
- Subgroups of prime power index in a simple group, J. of Algebra, Volume 81, 1983, pp. 304-311
- with Michael Aschbacher : Some applications of the first cohomology group, J. of Algebra, Volume 90, 1984, pp. 446-460
- with WM Kantor : Probabilistic generation of finite simple groups, J. of Algebra, Volume 234, 2000, pp. 743–792
- with T. Penttila, CE Praeger , J. Saxl: Linear groups with orders having certain large prime divisors, Proc. London Math. Soc., Vol. 78, 1999, p. 167
Web links
Individual evidence
- ↑ Pamela Kalte u. a., American Men and Women of Science, Thomson Gale 2004
- ↑ Robert Guralnick in the Mathematics Genealogy Project (English)
| personal data | |
|---|---|
| SURNAME | Guralnick, Robert |
| ALTERNATIVE NAMES | Guralnick, Robert Michael |
| BRIEF DESCRIPTION | American mathematician |
| DATE OF BIRTH | July 10, 1950 |
| PLACE OF BIRTH | los Angeles |