Andrei Okounkov

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

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.

Okounkov has an Erdős number of at most three, via Anatoly Vershik and Gregory A. Freiman.

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."


Click to Download : Random partitions and instanton counting
Click to Download : Random surfaces enumerating algebraic curves
Click to Download : Random trees and moduli of curves
Click to Download : Symmetric functions and random partitions
Click to Download : Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram
Click to Download : Quantum Calabi-Yau and Classical Crystals (with Nikolai Reshetikhin and Cumrun Vafa)

to be continued in part 2 . .