Andrei Okounkov

Q: What Schools Are Affiliated With Andrei Okounkov

Andrei Okounkov is affiliated with the following schools: University of California, Berkeley, University of Chicago, Columbia University, Moscow State University, Moscow State University, Princeton University

Why Is Andrei Okounkov Influential?

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By Erik J. Larson, PhD

Okounkov is Professor of Mathematics at Columbia University, where he works on representation theory and its applications. Representation theory is a branch of mathematics concerned with abstract algebraic structures and their representation. It has applications to a number of disciplines, including geometry, physics, and probability theory.

Okounkov received his education at Moscow State University in Russia, where he was awarded the Ph.D. in 1995. Formerly, Okounkov was a professor of mathematics at Princeton University, and before that he taught mathematics at the University of California at Los Angeles.

Okounkov is widely regarded as one of the world’s experts on issues in abstract algebra, particularly an area known as infinite symmetric groups, where Okounkov and colleagues have published original and substantive results (for mathematicians: the Gromov-Witten and other invariants of threefolds in algebraic geometry). Okounkov won the coveted Fields Medal, the highest honor in mathematics, in 2006. He became a Fellow of the American Academy of Arts and Sciences in 2016.

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Featured in Top Influential Mathematicians Today

According to Wikipedia, Andrei Yuryevich Okounkov 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 University of California, Berkeley 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."

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Andrei Okounkov's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Papers

Seiberg-Witten theory and random partitions (2003) (1142)
Gromov–Witten theory and Donaldson–Thomas theory, I (2003) (534)
Dimers and amoebae (2003) (511)
Asymptotics of Plancherel measures for symmetric groups (1999) (435)
Quantum Calabi-Yau and Classical Crystals (2003) (421)
Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram (2001) (410)
Quantum Groups and Quantum Cohomology (2012) (400)
Gromov-Witten theory, Hurwitz theory, and completed cycles (2002) (378)
A new approach to representation theory of symmetric groups (1996) (374)
Infinite wedge and random partitions (1999) (310)
Gromov-Witten theory, Hurwitz numbers, and Matrix models, I (2001) (278)
Toda equations for Hurwitz numbers (2000) (272)
Shifted Schur Functions (1996) (261)
Limit shapes and the complex Burgers equation (2005) (247)
Quantum foam and topological strings (2003) (245)
Brunn–Minkowski inequality for multiplicities (1996) (237)
Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials (2000) (199)
The Equivariant Gromov-Witten theory of P**1 (2002) (196)
The boundary of the Young graph with Jack edge multiplicities (1997) (176)
Shifted Jack polynomials, binomial formula, and applications (1996) (170)
A Fredholm determinant formula for Toeplitz determinants (1999) (168)
Planar dimers and Harnack curves (2003) (153)
Lectures on K-theoretic computations in enumerative geometry (2015) (151)
The Character of the Infinite Wedge Representation (1997) (151)
Random Skew Plane Partitions and the Pearcey Process (2005) (151)
Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds (2008) (150)
Quantum cohomology of the Hilbert scheme of points in the plane (2004) (147)
Virasoro constraints for target curves (2003) (143)
Quantum immanants and higher Capelli identities (1996) (129)
Exts and Vertex Operators (2008) (125)
Gromov–Witten theory and Donaldson–Thomas theory, II (2004) (125)
Asymptotics of Jack polynomials as the number of variables goes to infinity (1997) (111)
Elliptic stable envelopes (2016) (106)
Membranes and Sheaves (2014) (104)
Hodge integrals and invariants of the unknot (2003) (98)
Quantum cohomology of the Springer resolution (2009) (94)
A New Approach to the Representation Theory of the Symmetric Groups. II (2005) (94)
On representations of the infinite symmetric group (1998) (94)
(Shifted) Macdonald polynomials: q-Integral representation and combinatorial formula (1996) (92)
Generating functions for intersection numbers on moduli spaces of curves (2001) (88)
Random matrices and ramdom permutations (1999) (85)
BC-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials (1996) (84)
Quantum $q$-Langlands Correspondence (2017) (84)
The uses of random partitions (2003) (82)
Quantum difference equation for Nakajima varieties (2016) (76)
The local Donaldson–Thomas theory of curves (2005) (74)
Symmetric Functions and Random Partitions (2003) (68)
Five dimensional gauge theories and vertex operators (2013) (66)
Binomial formula for Macdonald polynomials and applications (1997) (63)
The theta characteristic of a branched covering (2003) (63)
Quasimap counts and Bethe eigenfunctions (2017) (61)
Why Would Multiplicities be Log-Concave? (2000) (55)
Thoma's theorem and representations of the infinite bisymmetric group (1994) (54)
Young Basis, Wick Formula, and Higher Capelli Identities (1996) (53)
Log-Concavity of Multiplicities with Application to Characters ofU(∞)☆ (1997) (50)
Pillowcases and quasimodular forms (2005) (47)
Limits of BC-type orthogonal polynomials as the number of variables goes to infinity (2006) (46)
Shifted Schur functions II. Binomial formula for characters of classical groups and applications (1996) (43)
The quantum differential equation of the Hilbert scheme of points in the plane (2009) (40)
On Newton Interpolation of Symmetric Functions (1998) (39)
Infinite wedge and measures on partitions (1999) (36)
SL(2) and z-measures (2000) (35)
Random partitions and instanton counting (2006) (31)
The Birth of a Random Matrix (2006) (30)
Enumerative geometry and geometric representation theory (2017) (27)
ON THE CROSSROADS OF ENUMERATIVE GEOMETRY AND GEOMETRIC REPRESENTATION THEORY (2018) (26)
Note on the Hilbert polynomial of a spherical variety (1997) (24)
Hilbert schemes and multiple q-zeta values (2014) (23)
Limit shapes, real and imagined (2015) (23)
Random surfaces enumerating algebraic curves (2004) (22)
Inductive construction of stable envelopes (2020) (19)
A characterization of interpolation Macdonald polynomials (1997) (17)
Proof of a Conjecture of Goulden and Jackson (1997) (15)
Multipoint Series of Gromov–Witten Invariants of CP1 (2002) (15)
On n-point correlations in the log-gas at rational temperature (1997) (15)
Inductive construction of stable envelopes and applications, I (2020) (13)
Takagi Lectures on Donaldson–Thomas theory (2018) (12)
GW/PT Descendent Correspondence via Vertex Operators (2018) (12)
Binomial formula for Macdonald polynomials (1996) (12)
Geometry of planar log-fronts (2006) (11)
Correction to: The 2-Leg Vertex in K-theoretic DT Theory (2019) (10)
Noncommutative geometry and Painlevé equations (2014) (8)
A Remark on the Fourier Pairing and the Binomial Formula for the Macdonald Polynomials (2001) (8)
Random trees and moduli of curves (2003) (7)
Noncommutative geometry of random surfaces (2009) (7)
Combinatorial formula for Macdonald polynomials and generic Macdonald polynomials (2003) (6)
Limit shapes , real and imaginary (5)
Virasoro constraints for stable pairs on toric 3-folds (2020) (5)
Shifted Macdonald polynomials with 3 parameters and binomial formula for Koornwinder polynomials (1996) (4)
The 2-Leg Vertex in K-theoretic DT Theory (2021) (4)
Combinatorial formula for Macdonald polynomials, Bethe Ansatz, and generic Macdonald polynomials (2000) (2)
Virasoro constraints for stable pairs on toric threefolds (2022) (2)
The magic of 8 and 24 (2022) (1)
The Ising model in our dimension and our times (2022) (1)
BINOMIAL FORMULA , AND APPLICATIONS (1997) (1)
On the unramified Eisenstein spectrum (2022) (1)
Combinatorial geometry takes the lead (2022) (1)
A pr 2 00 0 Random Matrices and Random Permutations (2000) (1)
BINOMIAL FORMULA FOR MACDONALD POLYNOMIALS AND ITS APPLICATIONS (1997) (1)
TheMathematicalWork of the 2006 FieldsMedalists (2007) (0)
Hilbert schemes and multiple q-zeta values (2014) (0)
D S ] 2 5 M ay 2 00 5 Pillowcases and quasimodular forms (2005) (0)
A pr 2 00 0 Toda equations for Hurwitz numbers (2008) (0)
A G ] 2 2 N ov 2 01 9 Elliptic stable envelopes (2018) (0)
A CALCULUS FOR THE MODULI SPACE OF CURVES (2018) (0)
Coffee Break REPRESENTATION THEORY AT THE CROSSROADS OF MODERN MATHEMATICS IN HONOR OF ALEXANDRE KIRILLOV (0)
M-theory and DT-theory (2013) (0)
Grigori Iosifovich Olshanski (2019) (0)
Selected Mathematical Reviews Related to the Paper in the Previous Section By (2016) (0)
Anatolii Moiseevich Vershik (on his 80th birthday) (2014) (0)
Infinite wedge and measures on partitions Andrei Okounkov (1999) (0)
GW/PT Descendent Correspondence via Vertex Operators (2020) (0)
INTEGRABILITY IN ALGEBRA, GEOMETRY AND PHYSICS: NEW TRENDS (2015) (0)
LOOKING TOWARDS THE FUTURE (2021) (0)
2 4 Ja n 20 01 Generating functions for intersection numbers on moduli spaces of curves Andrei Okounkov June (2008) (0)
Takagi Lectures on Donaldson–Thomas theory (2019) (0)
The local Donaldson-Thomas theory of curves A . Okounkov and R . Pandharipande (2005) (0)
M-theory and DT theory II (2013) (0)
To Russia, for Math (2021) (0)
0 60 10 62 v 1 2 8 Ja n 20 06 Random partitions and instanton counting (2008) (0)
Plans for ICM 2022 (2019) (0)
Rhymes in primes (2022) (0)
Shifted Schur polynomials and factorial Schur polynomials (2018) (0)
HUTP-03 / A 078 IHES / P / 03 / 65 ITEP-TH-60 / 03 Quantum Foam and Topological Strings (0)
Igor’ Moiseevich Krichever (2021) (0)
The Uses of Random Partitions 1 Recognizing Random Partitions 1.1 Why Partitions ? (0)
Random Matrices and Random Permutations Andrei Okounkov (2008) (0)
2 F eb 2 00 0 Infinite wedge and random partitions (2008) (0)
Algebra & Number Theory (2014) (0)
Skoltech summer school on mathematical physics ( week 2 ) (2019) (0)
DONALDSON THOMAS INVARIANTS OF P 1 SCROLL (2009) (0)

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Mathematics

#509

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Algebraic Geometry

#38

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#42

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Measure Theory

#2259

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#2764

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Why Is Andrei Okounkov Influential?

Andrei Okounkov's Published Works

Published Papers

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What Schools Are Affiliated With Andrei Okounkov?

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Andrei Okounkov's AcademicInfluence.com Rankings