Leonid Vaseršteĭn

Leonid Nison Vaseršteĭn ( Russian Леонид Нисонович Васерштейн , German transcription Leonid Nissonowitsch Wasserschtein or Wasserstein ; born September 15, 1944 in Kuibyshev , Soviet Union ) is a Russian-American mathematician.

Life

Vaseršteĭn is currently Professor of Mathematics at Penn State University . His research focuses on algebra and dynamical systems. He is known for a simple proof of Quillen-Suslin's Theorem , a result of commutative algebra first conjectured by Jean-Pierre Serre in 1955 and then proved by Daniel Quillen and Andrei Suslin in 1976.

Vaseršteĭn graduated from Lomonosov University in Moscow and did his doctorate there with Ilya Pjatetskij-Shapiro , where he was until 1978. He then moved to Europe and the United States.

The Wasserstein metric was named after him in 1970 by Roland Lwowitsch Dobruschin .

Selected publications

• On normal subgroups of Chevalley groups over commutative rings . In: Tohoku Math. J. . 38, No. 2, 1986, pp. 219-230. doi : 10.2748 / tmj / 1178228489 .
• Vector bundles and projective modules . In: Trans. Amer. Math. Soc. . 294, 1986, pp. 749-755. doi : 10.1090 / s0002-9947-1986-0825734-3 .
• Normal subgroups of the general linear groups over von Neumann regular rings . In: Proc. Amer. Math. Soc. . 96, 1986, pp. 209-214. doi : 10.1090 / s0002-9939-1986-0818445-7 .
• An answer to a question of M. Newman on matrix completion . In: Proc. Amer. Math. Soc. . 97, 1986, pp. 189-196. doi : 10.1090 / s0002-9939-1986-0835863-1 .
• Reduction of a matrix depending on parameters to a diagonal form by addition operations . In: Proc. Amer. Math. Soc. . 103, 1988, pp. 741-746. doi : 10.1090 / s0002-9939-1988-0947649-x .
• Normal subgroups of orthogonal groups over commutative rings . In: Amer. J. Math. . 110, No. 5, 1988, pp. 955-973. JSTOR 2374699 . doi : 10.2307 / 2374699 .
• Sums of cubes in polynomial rings . In: Math. Comp. . 56, 1991, pp. 349-357. doi : 10.1090 / s0025-5718-1991-1052104-3 .

Web links

• Leonid N. Vaserstein homepage