Leonid Vaserstein

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Leonid Vaserstein (rus: Леонид Нисонович Васерштейн) is a Russian-American mathematician, currently Professor of Mathematics at Penn State University.^[1] His research is focused on algebra and dynamical systems. He is well known for providing a simple proof of the Quillen–Suslin theorem, a result in commutative algebra, first conjectured by Jean-Pierre Serre in 1955, and then proved by Daniel Quillen and Andrei Suslin in 1976.^[2]

Vaserstein got his Master's degree and doctorate in Moscow State University, where he was until 1978. He then moved to Europe and United States.

The Wasserstein metric was named after him by R.L. Dobrushin in 1970.

Biography[]

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Selected publications[]

• Vaserstein, Leonid N. (1969). "Markov processes over denumerable products of spaces describing large system of automata". Problemy Peredači Informacii. 5 (3): 64–72.
• Vaserstein, Leonid N. (1986). "On normal subgroups of Chevalley groups over commutative rings". Tohoku Math. J. 38 (2): 219–230. doi:10.2748/tmj/1178228489.
• Vaserstein, Leonid N. (1986). "Vector bundles and projective modules". Trans. Amer. Math. Soc. 294 (2): 749–755. doi:10.1090/s0002-9947-1986-0825734-3. MR 0825734.
• Vaserstein, L. N. (1986). "Normal subgroups of the general linear groups over von Neumann regular rings". Proc. Amer. Math. Soc. 96 (2): 209–214. doi:10.1090/s0002-9939-1986-0818445-7. MR 0818445.
• Vaserstein, L. N. (1986). "An answer to a question of M. Newman on matrix completion". Proc. Amer. Math. Soc. 97 (2): 189–196. doi:10.1090/s0002-9939-1986-0835863-1. MR 0835863.
• Vaserstein, L. N. (1988). "Reduction of a matrix depending on parameters to a diagonal form by addition operations". Proc. Amer. Math. Soc. 103 (3): 741–746. doi:10.1090/s0002-9939-1988-0947649-x. MR 0947649.
• Vaserstein, L. N. (1988). "Normal subgroups of orthogonal groups over commutative rings". Amer. J. Math. 110 (5): 955–973. doi:10.2307/2374699. JSTOR 2374699.
• Vaserstein, L. N. (1991). "Sums of cubes in polynomial rings". Math. Comp. 56 (193): 349–357. doi:10.1090/s0025-5718-1991-1052104-3. MR 1052104.

See also[]

• List of Russian mathematicians

References[]

External links[]

• Leonid Vaserstein at the Mathematics Genealogy Project
• Leonid N. Vaserstein home page

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