William Haboush

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William Joseph Haboush (* 1942 ) is an American mathematician. who deals with algebraic groups and their representations.

Haboush received his doctorate from Columbia University in 1969 with Heisuke Hironaka (A theory of codimension one phenomena with an application to the theory of purely inseparable descent) . He was a professor at the State University of New York in Albany and then at the University of Illinois at Urbana-Champaign .

Haboush is known for solving a conjecture by David Mumford from the geometric invariant theory (Haboush's theorem): Let G be a semi-simple algebraic group over a field K and v a vector in a linear representation of G in a K-vector space V. If v invariant under G there is a G-invariant polynomial F on V with non-constant term and . The theorem can be used to transfer results of the invariant theory over fields of characteristic 0 (over the complex numbers) to positive characteristic.

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
  2. ↑ The problem in the first edition of his book Geometric Invariant Theory presented
  3. ↑ Haboush: Reductive groups are geometrically reductive , Annals of Mathematics, Volume 102, 1975, pp. 67-83
  4. ↑ Michel Demazure : Demonstration de la conjecture de Mumford. Seminaire Bourbaki, No. 462, 1974/75, Online ( Memento from March 3, 2016 in the Internet Archive )
personal data
SURNAME Haboush, William
ALTERNATIVE NAMES Haboush, William Joseph (full name)
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH 1942