Maxim Kontsevich


Maxim Kontsevich
Maxim Kontsevich

Born 25 August 1964 (1964-08-25) (age 47)
Khimki, Russian SFSR, Soviet Union
Citizenship Russia
France
Nationality Russian
Fields Mathematics
Institutions Institut des Hautes Études Scientifiques
University of Miami
Alma mater Moscow State University, mexmat
Doctoral advisor Don Bernard Zagier
Notable awards Henri Poincaré Prize (1997)
Fields Medal (1998)
Crafoord Prize (2008)

Maxim Lvovich Kontsevich (Russian: Макси́м Льво́вич Конце́вич; born 25 August 1964) is a Russian mathematician. He is a professor at the Institut des Hautes Études Scientifiques and a distinguished professor at the University of Miami. He received the Henri Poincaré Prize in 1997, the Fields Medal in 1998, and the Crafoord Prize in 2008.

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Biography

Born into the family of Lev Rafailovich Kontsevich – Soviet orientalist and author of the Kontsevich system. After ranking second in the All-Union Mathematics Olympiads, he attended Moscow State University but left without a degree in 1985 to become a researcher at the Institute for Problems of Information Transmission in Moscow [1]. In 1992 he received his Ph.D. at the University of Bonn under Don Bernard Zagier. His thesis proves a conjecture by Edward Witten that two quantum gravitational models are equivalent.

His work concentrates on geometric aspects of mathematical physics, most notably on knot theory, quantization, and mirror symmetry. His most famous result is a formal deformation quantization that holds for any Poisson manifold. He also introduced knot invariants defined by complicated integrals analogous to Feynman integrals. In topological field theory, he introduced the moduli space of stable maps, which may be considered a mathematically rigorous formulation of the Feynman integral for topological string theory. These results are a part of his "contributions to four problems of geometry" for which he was awarded the Fields Medal in 1998.

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Look at other dictionaries:

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  • Kontsevich invariant — In the mathematical theory of knots, the Kontsevich invariant, also known as the Kontsevich integral of an oriented framed link is the universal finite type invariant in the sense that any coefficient of the Kontsevich invariant is a finite type… …   Wikipedia

  • Kontsevich, Maxim — ▪ Russian mathematician born Aug. 25, 1964, Khimki, Russia, U.S.S.R.       Russian mathematician who won the Fields Medal in 1998 for his work in algebraic geometry and algebraic topology.       Kontsevich studied mathematics at Moscow State… …   Universalium

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  • Homological mirror symmetry — is a mathematical conjecture made by Maxim Kontsevich. It seeks a systematic mathematical explanation for a phenomenon called mirror symmetry first observed by physicists studying string theory.In an address to the 1994 International Congress of… …   Wikipedia

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