• Source: Andrei Okounkov

Andrei Yuryevich Okounkov (Russian: Андре́й Ю́рьевич Окунько́в, Andrej Okun'kov, born July 26, 1969) is a Russian mathematician who works on representation theory and its applications to algebraic geometry, mathematical physics, probability theory and special functions. He is currently a professor at the Columbia University and the academic supervisor of HSE International Laboratory of Representation Theory and Mathematical Physics. In 2006, he received the Fields Medal "for his contributions to bridging probability, representation theory and algebraic geometry."




Education and career


He graduated with a B.S. in mathematics, summa cum laude, from Moscow State University in 1993 and received his doctorate, also at Moscow State, in 1995 under Alexandre Kirillov and Grigori Olshanski. He is a professor at Columbia University. He previously was a professor at Princeton University, where he was awarded a Packard Fellowship (2001), the European Mathematical Society Prize (2004), and the Fields Medal (2006); an assistant and associate professor at Berkeley, where he was awarded a Sloan Research Fellowship; and an instructor at the University of Chicago. He was going to rejoin the faculty at Berkeley in the summer of 2022, but decided to stay at Columbia, teaching a graduate class in the fall of 2023.




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 complex 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 threefolds.
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."
In 2016, he became a fellow of the American Academy of Arts and Sciences.




See also


Newton–Okounkov body




References






External links


Andrei Okounkov home page at Columbia
Andrei Okounkov home page at Princeton
O'Connor, John J.; Robertson, Edmund F., "Andrei Okounkov", MacTutor History of Mathematics Archive, University of St Andrews
Andrei Okounkov at the Mathematics Genealogy Project
EMS Prize 2004 citation
Fields Medal citation Archived 2016-10-20 at the Wayback Machine
Andrei Okounkov's articles on the Arxiv
Daily Princetonian story
BBC story

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• Andrei Okounkov
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• Clay Mathematics Institute
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• Fields Medal
• Donaldson–Thomas theory
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