Craig Huneke

Craig L. Huneke ( born August 27, 1951) is an American mathematician who deals with commutative algebra. He is a professor at the University of Kansas.

Huneke studied at Oberlin College with a bachelor 's degree in 1973 and in 1978 received his doctorate from Yale University in Nathan Jacobson ( Determinantal ideal and questions related to factoriality ). As a post - graduate student, he was at the University of Michigan, where in 1979 he was Assistant Professor at the Massachusetts Institute of Technology and the University of Bonn (1980). In 1981 he became Assistant Professor at Purdue University, where he became Associate Professor in 1984 and Professor in 1987. 1994/95 he was a visiting professor at the University of Michigan and in 1999 at the Max Planck Institute for Mathematics in Bonn ( as a Fulbright Scholar ). In 1999, he was Henry J. Bischoff professor at the University of Kansas. In 2002 he was at MSRI. Since 2012 he is Marvin Rosenblum professor at the University of Virginia.

With Melvin Hochster and others, he developed the theory of tight closure ( firmer conclusion ) in which it comes to problems in ring theory of rings containing body to deal with transportation to fields of characteristic p, in which one the Frobenius can use figure. He dealt with Linkage Theory, Rees algebras, homological theory of modules over Noetherian rings, local cohomology, symbolic powers of ideals, Cohen- Macaulay rings, Gorenstein rings, all statements and Hilbert -Kunz functions.

He was invited speaker at the International Congress of Mathematicians in 1990 in Kyoto ( Absolute Integral Closure and Big Cohen- Macaulay Algebras ).

Writings

  • Closure of Hochster Tight, invariant theory, and the Briançon -Skoda theorem, Journal of the American Mathematical Society, Volume 3, 1990, pp. 31-116
  • Tight closure and its application, American Mathematical Society 1996
  • With Irena Swanson: Integral closure of ideals, rings, and modules, Cambridge University Press 2006
  • With B. Ulrich The structure of linkage, Annals of Mathematics, Volume 126, 1987, p 277-334
  • David Eisenbud, W. Vasconcelos, Direct methods for primary decomposition, Inventiones Mathematicae, Volume 110, 1992, pp. 207-236
  • Uniform bounds in Noetherian rings, Inventiones Mathematicae, Volume 107, 1992, pp. 203-223
Mathematical Sciences Research Institute
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