Person: Okounkov, Andrei Yuryevich
Andrei Yuryevich Okounkov won a Fields Medal in 2006 for his contributions bridging probability, representation theory and algebraic geometry.
Mathematical Profile (Excerpt):
- After the award of his first degree, Okounkov remained at Moscow State University undertaking research for his Candidate's degree (equivalent to a Ph.D.) supervised by Alexander Aleksandrovich Kirillov.
- Okounkov was awarded his Candidate's degree in 1995 for his thesis Admissible Representation of Gelfand Pairs Associated with the Infinite Symmetric Group.
- In 2002 Okounkov was appointed as a Professor at Princeton University.
- Okounkov gave the first proof of the celebrated Baik-Deift-Johansson conjecture, which states that the asymptotics of random partitions distributed according to the Plancherel measure coincides with that of the eigenvalues of large Hermitian matrices.
- An important and influential result of Okounkov is a formula he found in joint work with Borodin, which expresses a general Toeplitz determinant as the Fredholm determinant of the product of two associated Hankel operators.
- The new techniques of working with random partitions invented and successfully developed by Okounkov lead to a striking array of applications in a wide variety of fields: topology of module spaces, ergodic theory, the theory of random surfaces and algebraic geometry.
- Okounkov left Princeton in 2010 to take up a professorship of mathematics at Columbia University in New York.
Born 26 July 1969, Moscow, Russia.
View full biography at MacTutor
Tags relevant for this person:
Prize Fields Medal, Origin Russia
Adapted from other CC BY-SA 4.0 Sources:
- O’Connor, John J; Robertson, Edmund F: MacTutor History of Mathematics Archive