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Andrei Okounkov

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Andrei Okounkov (Russian: Андрей Окуньков, Andrej Okun'kov) (born 1969) is a mathematician who works on representation theory and its applications to algebraic geometry, mathematical physics, probability theory and special functions.

He received his doctorate at Moscow State University in 1995 under Alexander Kirillov. He has been a professor at Princeton University since 2002, and was previously an assistant professor at the University of California, Berkeley.

In 2006, at the 25th International Congress of Mathematicians in Madrid, Spain he received the Fields Medal "for his contributions to bridging probability, representation theory and algebraic geometry."[1]

Work

He has worked on the representation theory of infinite symmetric groups, the statistics of plane partitions, and the quantum cohomology of the Hilbert scheme of points in the projective plane. Much of his work on Hilbert schemes was joint with Rahul Pandharipande.

Okounkov along with Pandharipande, Nikita Nekrasov, and Davesh Maulik, has formulated well-known conjectures relating the Gromov-Witten invariants and Donaldson-Thomas invariants of Calabi-Yau three-folds.

References