Craig Huneke
Craig L. Huneke (born August 27, 1951 in Norman , Oklahoma ) is an American mathematician who studies commutative algebra . He is a professor at the University of Kansas .
Huneke studied at Oberlin College with a bachelor's degree in 1973 and received his doctorate in 1978 from Yale University under Nathan Jacobson ( Determinantal Ideals and questions related to factoriality ). As a post-doctoral student he was at the University of Michigan , where he became Assistant Professor in 1979 , at the Massachusetts Institute of Technology and the University of Bonn (1980). In 1981 he became an assistant professor at Purdue University , where he became an associate professor in 1984 and a professor in 1987. In 1994/95 he was visiting professor at the University of Michigan and in 1999 at the Max Planck Institute for Mathematics in Bonn (as a Fulbright Scholar ). From 1999 he was Henry J. Bischoff Professor at the University of Kansas. In 2002 he was at MSRI . Since 2012 he has been Marvin Rosenblum Professor at the University of Virginia .
Together with Melvin Hochster and others, he developed the theory of tight closure , which is about dealing with problems in the ring theory of rings that contain bodies by transporting them to bodies with the characteristic p, in which the Frobenius Illustration can use. He dealt with linkage theory, Rees algebras, the homological theory of modules on Noether's rings , local cohomology, symbolic powers of ideals, Cohen-Macaulay rings and Gorenstein rings , whole degrees and Hilbert-Kunz functions.
In 1982 he became a research fellow of the Alfred P. Sloan Foundation ( Sloan Research Fellow ). He is a fellow of the American Mathematical Society . He was invited speaker at the 1990 International Congress of Mathematicians in Kyoto ( Absolute Integral Closure and Big Cohen-Macaulay Algebras ).
Fonts
- with Hochster Tightly Closed Ideals , Bulletin of the American Mathematical Society, Volume 18, 1988, pp. 45-48
- with Hochster tight closure, invariant theory, and the Briançon – Skoda theorem , Journal of the American Mathematical Society, Volume 3, 1990, pp. 31–116
- with Hochster: Phantom Homology , Memoirs American Mathematical Society 1993
- 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, pp. 277-334
- with Hochster Infinite integral extensions and big Cohen-Macaulay algebras , Annals of Mathematics, Volume 135, 1992, pp. 53-89
- with 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
- with Hochster Comparison of symbolic and ordinary powers of ideals , Inventiones Mathematicae, Volume 147, 2002, pp. 349-369
- with D. Eisenbud, B. Ulrich The regularity of Tor and graded Betti numbers , American Journal of Mathematics, Volume 128, 2006, pp. 573–605
Web links
Individual evidence
| personal data | |
|---|---|
| SURNAME | Huneke, Craig |
| ALTERNATIVE NAMES | Huneke, Craig L. |
| BRIEF DESCRIPTION | American mathematician |
| DATE OF BIRTH | August 27, 1951 |
| PLACE OF BIRTH | Norman , Oklahoma |