Michel Van den Bergh

Michel Van den Bergh ( born July 25, 1960) is a Belgian mathematician who deals with algebra.

Van den Bergh in 1985 at the University of Antwerp in Freddy Van Oystaeyen doctorate ( Algebraic elements in finite dimensional division algebras ). As a post - graduate student, he was at the Massachusetts Institute of Technology and was there 1987/88 Moore Instructor. Since 1982, he conducted research for the Belgian National Science Foundation ( FWO ), from 1989 as a senior researcher and since 1993 as Director of Research, and was an assistant at the University of Antwerp. 1991/92 he was at the IHES and 1992-1995 Professor at the University of Strasbourg ( Université Louis Pasteur ). Since 1994 he has taught alongside his work as research director of the FWO part-time at the Free University of Brussels and he also teaches at the University of Hasselt.

He is known for research in non-commutative algebraic geometry, an area on which his doctor father Van Oystaeyen was one of the pioneers.

1995 and 1998 he was a visiting professor at MIT, 2000 Visiting scientist at MSRI and 2003/ 4 at the Mittag-Leffler Institute.

In 2003 he received the Francqui price. In 1994 he was invited speaker at the International Congress of Mathematicians in Zurich ( Modules of covariants ).

Writings

  • Le Bruyn L., F. Van Oystaeyen: Graded orders, Birkhauser 1988
  • With Idun Riding: Two - dimensional tame and maximal orders of finite representation type, Memoirs American Mathematical Society, Volume 80, 1989
  • With IM Musson: Invariants under tori of rings of differential operators and related topics, Memoirs Amer. Math Soc. 136, 1998 * Blowing up of non- commutative smooth surfaces, Memoirs American Mathematical Society, Volume 154, 2001
  • Michael Artin twisted homogeneous coordinate rings, Journal of Algebra, 133, 1990, pp. 249-271
  • Cohen Macaulayness of modules of covariants, Inventiones Mathematicae, Volume 106, 1991, pp. 389-409
  • Michael Artin, John T. Tate Some algbras associated to automorphisms of elliptic curves, in: The Grothendieck Festschrift, Volume 1, Birkhauser, 1990, pp. 33-85
  • With Alexei Bondal: Generators and representability of functors in commutative and Noncommutative geometry, Moscow Mathematical Journal, Volume 3, 2003, 1-36
  • Non- commutative crepant resolutions, in: Olav Laudal, Ragni Piene (eds.) The Legacy of Niels Hendrik Abel, Springer, 2002, pp. 749-770
  • Three-dimensional flops and Noncommutative rings, Duke Math J. 122, 2004, 423-455.
  • With Idun riding Noetherian hereditary abelian categories satisfying Serre duality, Journal of the American Mathematical Society, 15, 2002, 295-366
  • Toby Stafford Noncommutative Noncommutative curves and surfaces, Bulletin Amer. Math Soc., Volume 38, 2001, pp. 171-216
  • With D. Calaque, CA Rossi Caldararu 's conjecture and Tsygan 's formality, Annals of Mathematics, 176, 2012, 865-923
Fred Van Oystaeyen Institut des Hautes Études Scientifiques Francqui Prize Idun Reiten John Tate Mathematics Genealogy Project Integrated Authority File
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