|Residence||Miami, United States|
|Alma mater||University of Bonn|
Moscow State University
|Awards||EMS Prize (1992)|
Otto Hahn Medal (1992)
Henri Poincaré Prize (1997)
Fields Medal (1998)
Crafoord Prize (2008)
Shaw Prize (2012)
Fundamental Physics Prize (2012)
Breakthrough Prize in Mathematics (2014)
National Academy of Sciences (Foreign Associate) (2015)
|Institutions||Institut des Hautes Études Scientifiques|
University of Miami
|Doctoral advisor||Don Bernard Zagier|
|Notable students||Serguei Barannikov|
Maxim Lvovich Kontsevich (Russian: ? ;; born 25 August 1964) is a Russian and Frenchmathematician. 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, the Crafoord Prize in 2008, the Shaw Prize and Fundamental Physics Prize in 2012, and the Breakthrough Prize in Mathematics in 2014.
He was 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 Information Transmission Problems in Moscow. While at the institute he published papers that caught the interest of the Max Planck Institute in Bonn and was invited for three months. Just before the end of his time there, he attended a five-day international meeting, the Arbeitstagung, where he sketched a proof of the Witten conjecture to the amazement of Michael Atiyah and other mathematicians and his invitation to the institute was subsequently extended to three years. The next year he finished the proof and worked on various topics on mathematical physics and in 1992 received his Ph.D. at the University of Bonn under Don Bernard Zagier. His thesis outlines a proof of 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. One of his results 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.
In 1998, he won the Fields Medal for his "contributions to four problems of Geometry". In July 2012, he was an inaugural awardee of the Fundamental Physics Prize, the creation of physicist and internet entrepreneur, Yuri Milner. In 2014, he was awarded Breakthrough Prize in Mathematics.