Hershel Farkas

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Hershel Mark Farkas (born December 2, 1939 in New York City ) is an Israeli - American mathematician who studies function theory.

Farkas studied at Yeshiva University in New York with a bachelor's degree in 1961, a master's degree in 1963 and a doctorate in 1965 under Harry Rauch ( Analytic submanifolds of Teichmüller space ). From 1966 to 1968 he was an assistant professor at Johns Hopkins University . He was associate professor from 1968 and from 1971 to 1978 professor at the State University of New York at Stony Brook (SUNY), where he was a colleague of Irwin Kra and worked with him. In 1970 he received a research grant from the Alfred P. Sloan Foundation ( Sloan Research Fellowship ). He had been Professor of Mathematics at the Hebrew University in Jerusalem since 1975 , where he had been a visiting professor in 1970. From 1982 to 1984 and from 2004 to 2006 he headed the mathematics faculty there and was director of the Landau Center for Research in Mathematical Analysis from 1995 to 1999 . In 2008 he retired.

Farkas was visiting professor at SUNY in 1991/92 and several times thereafter (most recently from 2008 to 2011), in 2001 at Stanford University and the University of California, Los Angeles , in 2004 at the University of Melbourne and at Caltech . He deals with Riemann surfaces (including the Schottky problem and Jacobi varieties) and theta functions and is the author of a standard work in this area with Irwin Kra. He also deals with modular shapes and their application in geometry and number theory.

Fonts

  • Editor and co-author with Lars V. Ahlfors , Lipman Bers , Robert C. Gunning , Irwin Kra , Harry E. Rauch : Advances in the theory of Riemann Surfaces. Proceedings of the 1969 Stony Brook Conference (= Annals of Mathematics Studies. 66, ISSN  0066-2313 ). Princeton University Press, Princeton NJ et al. 1971.
  • with Irwin Kra: Riemann Surfaces (= Graduate Texts in Mathematics. 71). Springer, New York NY et al. 1980, ISBN 0-387-90465-4 (2nd edition, ibid. 1992, ISBN 0-387-97703-1 ).
  • with Harry Rauch: Theta functions with applications to Riemann Surfaces. Williams and Wilkins, Baltimore MD 1974, ISBN 0-683-07196-3 .
  • Editor with Isaac Chavel : Differential Geometry and Complex Analysis. Springer, Berlin et al. 1985, ISBN 3-540-13543-X .
  • with Irwin Kra: Theta constants, Riemann surfaces, and the modular group. An introduction with applications to uniformization theorems, partition identities, and combinatorial number theory (= Graduate Studies in Mathematics. 37). American Mathematical Society, Providence RI 2001, ISBN 0-8218-1392-7 .
  • Theta functions in complex analysis and number theory. In: Krishnaswami Alladi (Ed.): Surveys in Number Theory (= Developments in Mathematics. 17). Springer, New York NY 2008, ISBN 978-0-387-78509-7 , pp. 57-87.
  • with Shaul Zemel. Generalizations of Thomae's Formula for curves (= Developments in Mathematics. 21). Springer, New York NY et al. 2010, ISBN 978-1-441-97846-2 .
  • Editor with Robert C. Gunning, Marvin I. Knopp , BA Taylor: From Fourier Analysis and Number Theory to Radon Transforms and Geometry. In Memory of Leon Ehrenpreis (= Developments in Mathematics. 28). Springer, New York NY et al. 2012, ISBN 978-1-4614-4074-1 .

Web links

Individual evidence

  1. ↑ Life data according to American Men and Women of Science , Jacques Cattell Press 1982
  2. ^ Mathematics Genealogy Project
personal data
SURNAME Farkas, Hershel
ALTERNATIVE NAMES Farkas, Hershel Mark
BRIEF DESCRIPTION Israeli-American mathematician
DATE OF BIRTH December 2, 1939
PLACE OF BIRTH New York City