Howard Garland

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Howard Garland (born October 27, 1937 in Detroit ) is an American mathematician. He is a professor at Yale University . It deals with Lie groups , algebraic groups and their representations and especially with discrete subgroups of Lie groups.

Garland graduated from the University of Chicago with a bachelor's degree in 1947, Wayne State University with a master's degree in mathematics in 1959, and received his doctorate from the University of California, Berkeley , in 1964 under SS Chern ( On the cohomology of lattices in Lie groups ). As a post-doctoral student he was an instructor at Yale University and in 1965/66 at the Institute for Advanced Study . In 1966 he became an Assistant Professor at Yale and an Associate Professor in 1969 and Professor at Columbia University in 1971 . 1972/73 he was professor at the State University of New York at Stony Brook and from 1973 professor at Yale. He is a fellow of the American Mathematical Society .

With Gregg Zuckerman and Igor Frenkel (his PhD student) in 1986 he applied the semi-infinite cohomology of graded Lie algebras - such as the Virasoro algebra - to the BRST quantization of strings .

Fonts

  • with MS Raghunathan Fundamental domains for lattices in (R-) rank 1 semisimple Lie groups , Annals of Mathematics, Volume 92, 1970, pp. 279-326
  • with M. Goto Lattices and the adjoint group of a Lie group , Transactions AMS, Volume 124, 1966, pp. 450-460
  • A rigidity theorem for discrete subgroups , Transactions AMS, Volume 129, 1967, pp. 1-25
  • P-adic curvature and the cohomology of discrete subgroups of p-adic groups , Annals of Mathematics, Volume 97, 1973, pp. 375-423
  • A finiteness theorem for of a number field , Annals of Mathematics, Volume 94, 1971, pp. 534-548
  • The arithmetic theory of loop algebras , J. Algebra, Volume 53, 1978, pp. 480-551

Web links

Individual evidence

  1. ↑ Life data according to American Men and Women of Science , Thomson Gale 2004
  2. ^ Mathematics Genealogy Project
  3. ↑ after Boris Lwowitsch Feigin
  4. ↑ Becchi-Rouet-Stora-Tyutin, after Carlo Becchi a . a.
  5. ↑ Frenkel, Garland, Zuckerman Semi infinite cohomology and string theory , Proc. Nat. Acad. Sci., Vol. 83, 1986, pp. 8442-8446, online
personal data
SURNAME Garland, Howard
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH October 27, 1937
PLACE OF BIRTH Detroit