Mark Spivakovsky

Mark Spivakovsky (born September 7, 1960 in Moscow ) is a mathematician of Russian descent who works in the USA, Canada and France.

Spivakovsky studied at Harvard University with a bachelor's degree in 1981 and received his doctorate there in 1985 with Heisuke Hironaka ( Sandwiched Surface Singularities and the Nash Resolution for Surfaces ). He has taught at Harvard and Toronto and is a professor at the University of Toulouse and researches for the CNRS .

He deals with algebraic geometry and commutative algebra and especially singularity theory and the resolution of singularities. In his dissertation he introduced sandwich singularities (surfaces over ) and showed their solvability by normalized Nash transformations. ${\displaystyle \mathbb {C} }$

In 1994 he received the Coxeter James Prize .

Fonts

• A solution of Hironaka's polyhedra game, in: M. Artin, J. Tate, Arithmetic and geometry (Shafarevich volume), Volume 2, Birkhäuser 1983, pp. 419-432
• A counterexample of Hironaka's hard polyhedra game, Pub. RIMS, Kyoto University, Vol. 18, 1983, pp. 1009-1012
• A counterexample to the theorem of Beppo Levi in ​​three dimensions, Inv.Math., Volume 96, 1989, pp. 181-183
• Valuations in function fields on surfaces, American J. Math., Vol. 112, 1990, pp. 107-156
• Sandwiched Singularities and Desingularization of Surfaces by Normalized Nash Transformations, Annals of Mathematics, Volume 131, 1990, pp. 411-491
• with Josnei Novacoski: Reduction of Local Uniformization to the rank one case, Arxiv 2012

Web links

• Homepage University of Toulouse
• Dynkin Collection

Individual evidence

1. ↑ Mark Spivakovsky in the Mathematics Genealogy Project (English)