Edit Profile (opens in new tab) Okun’kov, Andreĭ Yur’evich Co-Author Distance Author ID: okounkov.andrei-yuryevich Published as: Okounkov, Andrei; Okounkov, A.; Okounkov, A. Yu.; Okun’kov, A. Yu.; Okun’kov, Andrej Yu.; Okounkov, Andreĭ Yur’evich; Okoun’kov, A. Yu.; Okunkov, A. Yu. more...less Further Spellings: Okounkov, Andrei Yuryevich; Окуньков Андрей Юрьевич Homepage: https://web.math.princeton.edu/~okounkov/ External Links: MacTutor · MGP · ORCID · Wikidata · Google Scholar · Math-Net.Ru · GND · IdRef Videos: carmin.tv Awards: EMS Prize (2004) · Fields Medal (2006) Documents Indexed: 103 Publications since 1994, including 1 Book and 5 Additional arXiv Preprints 1 Further Contribution Biographic References: 6 Publications Co-Authors: 66 Co-Authors with 60 Joint Publications 2,672 Co-Co-Authors all top 5 Co-Authors 44 single-authored 16 Pandharipande, Rahul 8 Nekrasov, Nikita Alexandrovich 8 Ol’shanskiĭ, Grigoriĭ Iosifovich 6 Vershik, Anatoliĭ Moiseevich 5 Maulik, Davesh 4 Kenyon, Richard W. 4 Reshetikhin, Nikolai Yu. 3 Aganagic, Mina 3 Borodin, Alexei 3 Eskin, Alex 3 Novikov, Sergeĭ Petrovich 3 Oblomkov, Alexei A. 2 Braverman, Alexander 2 Bukhshtaber, Viktor Matveevich 2 Carlsson, Erik 2 Grushevsky, Samuel 2 Kazhdan, David 2 Kirillov, Alexandre Aleksandrovich 2 Vafa, Cumrun 2 Varchenko, Alexander Nikolaevich 2 Veselov, Alexander Petrovich 2 Zabrodin, Anton V. 1 Arbarello, Enrico 1 Bloch, Spencer J. 1 Brazovski, Serguei 1 Bryan, Jim 1 Bufetov, Aleksandr Igorevich 1 Bufetov, Alekseĭ Igor’evich 1 Chekhov, Leonid O. 1 Dobrokhotov, Sergei Yurievich 1 Drinfeld, Vladimir Gershonovich 1 Dzhamay, Anton 1 Etingof, Pavel Il’ich 1 Faber, Carel Filip 1 Faddeev, Lyudvig Dmitrievich 1 Fomin, Sergey Vladimirovich 1 Frenkel, Edward V. 1 Getzler, Ezra 1 Gordin, Mikhail Iosifovich 1 Gorin, V. E. 1 Grinevich, Pëtr Georgievich 1 Ibragimov, Il’dar Abdullovich 1 Iqbal, Amer 1 Ismagilov, Rais Sal’manovich 1 Kaimanovich, Vadim A. 1 Kerov, Sergei V. 1 Khoroshkin, Sergey M. 1 Lodkin, A. A. 1 Marshakov, Andrei V. 1 Mikhalkin, Grigory B. 1 Mironov, Andreĭ Evgen’evich 1 Molchanov, Vladimir Fedorovich 1 Molev, Alexander I. 1 Nazarov, Maxim Leonidovich 1 Neretin, Yuriĭ Aleksandrovich 1 Nessonov, Nikolai I. 1 Olshanetsky, Mikhail A. 1 Osinenko, A. A. 1 Petrov, Fedor Vladimirovich 1 Petrov, Leonid 1 Phong, Duong Hong 1 Pogrebkov, Andrei K. 1 Rains, Eric M. 1 Sheffield, Scott 1 Sheĭnman, Oleg Karlovich 1 Shlosman, Senya B. 1 Sinaĭ, Yakov Grigor’evich 1 Smirnov, Andrey V. 1 Smoliarova, Tatiana 1 Taĭmanov, Iskander Asanovich 1 Takhtajan, Leon Armenovich 1 Tsfasman, Michael A. 1 Tsilevich, Natalia V. 1 Wiegmann, Paul B. all top 5 Serials 6 Inventiones Mathematicae 5 Russian Mathematical Surveys 5 Functional Analysis and its Applications 5 IMRN. International Mathematics Research Notices 4 Advances in Mathematics 4 Journal of the American Mathematical Society 4 Transformation Groups 4 Moscow Mathematical Journal 3 Communications in Mathematical Physics 3 Compositio Mathematica 3 Notices of the American Mathematical Society 3 Mathematical Research Letters 3 Annals of Mathematics. Second Series 2 Letters in Mathematical Physics 2 Duke Mathematical Journal 2 Journal of Mathematical Sciences (New York) 2 Selecta Mathematica. New Series 2 Geometry & Topology 1 Acta Mathematica 1 Canadian Journal of Mathematics 1 Integral Equations and Operator Theory 1 Transactions of the Moscow Mathematical Society 1 Advances in Applied Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Zapiski Nauchnykh Seminarov POMI 1 St. Petersburg Mathematical Journal 1 Journal of High Energy Physics 1 Pure and Applied Mathematics Quarterly 1 Astérisque 1 Algebra & Number Theory 1 Japanese Journal of Mathematics. 3rd Series 1 Forum of Mathematics, Pi 1 Algebraic Geometry all top 5 Fields 48 Algebraic geometry (14-XX) 24 Combinatorics (05-XX) 14 Group theory and generalizations (20-XX) 12 Special functions (33-XX) 11 Nonassociative rings and algebras (17-XX) 11 Probability theory and stochastic processes (60-XX) 11 Quantum theory (81-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Topological groups, Lie groups (22-XX) 5 History and biography (01-XX) 5 Number theory (11-XX) 5 \(K\)-theory (19-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Convex and discrete geometry (52-XX) 4 Differential geometry (53-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Abstract harmonic analysis (43-XX) 2 Commutative algebra (13-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Partial differential equations (35-XX) 2 Difference and functional equations (39-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 Category theory; homological algebra (18-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 90 Publications have been cited 5,373 times in 3,076 Documents Cited by ▼ Year ▼ Seiberg-Witten theory and random partitions. Zbl 1233.14029 Nekrasov, Nikita A.; Okounkov, Andrei 586 2006 Dimers and amoebae. Zbl 1154.82007 Kenyon, Richard; Okounkov, Andrei; Sheffield, Scott 267 2006 Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram. Zbl 1009.05134 Okounkov, Andrei; Reshetikhin, Nikolai 205 2003 Gromov-Witten theory and Donaldson-Thomas theory. I. Zbl 1108.14046 Maulik, D.; Nekrasov, N.; Okounkov, A.; Pandharipande, R. 203 2006 Quantum groups and quantum cohomology. Zbl 1422.14002 Maulik, Davesh; Okounkov, Andrei 198 2019 Asymptotics of Plancherel measures for symmetric groups. Zbl 0938.05061 Borodin, Alexei; Okounkov, Andrei; Olshanski, Grigori 175 2000 Gromov-Witten theory, Hurwitz theory, and completed cycles. Zbl 1105.14076 Okounkov, A.; Pandharipande, R. 175 2006 Quantum Calabi-Yau and classical crystals. Zbl 1129.81080 Okounkov, Andrei; Reshetikhin, Nikolai; Vafa, Cumrun 153 2006 Limit shapes and the complex Burgers equation. Zbl 1156.14029 Kenyon, Richard; Okounkov, Andrei 143 2007 Infinite wedge and random partitions. Zbl 0986.05102 Okounkov, Andrei 141 2001 Toda equations for Hurwitz numbers. Zbl 0969.37033 Okounkov, Andrei 131 2000 Brunn-Minkowski inequality for multiplicities. Zbl 0893.52004 Okounkov, Andrei 109 1996 Gromov-Witten theory and Donaldson-Thomas theory. II. Zbl 1108.14047 Maulik, D.; Nekrasov, N.; Okounkov, A.; Pandharipande, R. 108 2006 Quantum foam and topological strings. Zbl 1246.81338 Iqbal, Amer; Vafa, Cumrun; Nekrasov, Nikita; Okounkov, Andrei 107 2008 A new approach to representation theory of symmetric groups. Zbl 0959.20014 Okounkov, Andrei; Vershik, Anatoly 106 1996 Shifted Jack polynomials, binomial formula, and applications. Zbl 0995.33013 Okounkov, A.; Olshanski, G. 100 1997 Quantum cohomology of the Springer resolution. Zbl 1226.14069 Braverman, Alexander; Maulik, Davesh; Okounkov, Andrei 94 2011 A Fredholm determinant formula for Toeplitz determinants. Zbl 0970.47014 Borodin, Alexei; Okounkov, Andrei 85 2000 The equivariant Gromov-Witten theory of \(\mathbb P^1\). Zbl 1105.14077 Okounkov, A.; Pandharipande, R. 83 2006 Why would multiplicities be log-concave? Zbl 1063.22024 Okounkov, Andrei 83 2003 Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials. Zbl 1019.32014 Eskin, Alex; Okounkov, Andrei 83 2001 Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds. Zbl 1232.14039 Maulik, D.; Oblomkov, A.; Okounkov, A.; Pandharipande, R. 83 2011 Lectures on \(K\)-theoretic computations in enumerative geometry. Zbl 1402.19001 Okounkov, Andrei 79 2017 The boundary of the Young graph with Jack edge multiplicities. Zbl 0960.05107 Kerov, Sergei; Okounkov, Andrei; Olshanski, Grigori 77 1998 Gromov-Witten theory, Hurwitz numbers, and matrix models. Zbl 1205.14072 Okounkov, A.; Pandharipande, R. 77 2009 Random skew plane partitions and the Pearcey process. Zbl 1115.60011 Okounkov, Andrei; Reshetikhin, Nicolai 76 2007 Planar dimers and Harnack curves. Zbl 1100.14047 Kenyon, Richard; Okounkov, Andrei 76 2006 Membranes and sheaves. Zbl 1369.14069 Nekrasov, Nikita; Okounkov, Andrei 75 2016 The local Gromov-Witten theory of curves. Zbl 1126.14062 Bryan, Jim; Pandharipande, Rahul 74 2008 Random matrices and random permutations. Zbl 1018.15020 Okounkov, Andrei 69 2000 Elliptic stable envelopes. Zbl 1524.14098 Aganagic, Mina; Okounkov, Andrei 68 2021 The character of the infinite wedge representation. Zbl 0978.17016 Bloch, Spencer; Okounkov, Andrei 60 2000 Quantum cohomology of the Hilbert scheme of points in the plane. Zbl 1198.14054 Okounkov, A.; Pandharipande, R. 55 2010 Virasoro constraints for target curves. Zbl 1140.14047 Okounkov, A.; Pandharipande, R. 54 2006 Asymptotics of Jack polynomials as the number of variables goes to infinity. Zbl 0913.33004 Okounkov, Andrei; Olshanski, Grigori 54 1998 Quantum immanants and higher Capelli identities. Zbl 0864.17014 Okounkov, Andrei 53 1996 Exts and vertex operators. Zbl 1256.14010 Carlsson, Erik; Okounkov, Andrei 53 2012 Shifted Schur functions. Zbl 0894.05053 Okun’kov, A. Yu.; Ol’shanskij, G. 52 1997 Quantum \(q\)-Langlands correspondence. Zbl 1422.22021 Aganagic, M.; Frenkel, E.; Okounkov, A. 49 2018 The birth of a random matrix. Zbl 1130.15014 Okounkov, Andrei; Reshetikhin, Nicolai 45 2006 Shifted Schur functions. II: The binomial formula for characters of classical groups and its applications. Zbl 0941.17008 Okounkov, Andrei; Olshanski, Grigori 44 1998 (Shifted) Macdonald polynomials: \(q\)-integral representation and combinatorial formula. Zbl 0897.05085 Okounkov, Andrei 42 1998 Generating functions for intersection numbers on moduli spaces of curves. Zbl 1048.14012 Okounkov, Andrei 40 2002 Quasimap counts and Bethe eigenfunctions. Zbl 1426.82018 Aganagic, Mina; Okounkov, Andrei 40 2017 Quantum difference equation for Nakajima varieties. Zbl 1504.14096 Okounkov, A.; Smirnov, A. 39 2022 Five dimensional gauge theories and vertex operators. Zbl 1303.14046 Carlsson, Erik; Nekrasov, Nikita; Okounkov, Andrei 38 2014 The uses of random partitions. Zbl 1120.05301 Okounkov, Andrei 35 2005 Symmetric functions and random partitions. Zbl 1017.05103 Okounkov, Andrei 35 2002 Hodge integrals and invariants of the unknot. Zbl 1062.14035 Okounkov, A.; Pandharipande, R. 35 2004 A new approach to the representation theory of symmetric groups. II. Zbl 1083.20502 Vershik, A. M.; Okoun’kov, A. Yu. 34 2005 Binomial formula for Macdonald polynomials and applications. Zbl 0911.33012 Okounkov, Andrei 33 1997 The local Donaldson-Thomas theory of curves. Zbl 1205.14067 Okounkov, A.; Pandharipande, R. 33 2010 \(BC\)-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials. Zbl 0941.17005 Okounkov, Andrei; Vershik, Anatoly 32 1998 The theta characteristic of a branched covering. Zbl 1157.14014 Eskin, Alex; Okounkov, Andrei; Pandharipande, Rahul 31 2008 Limits of \(BC\)-type orthogonal polynomials as the number of variables goes to infinity. Zbl 1151.33008 Okounkov, Andrei; Olshanski, Grigori 25 2006 Pillowcases and quasimodular forms. Zbl 1136.14039 Eskin, Alex; Okounkov, Andrei 24 2006 On Newton interpolation of symmetric functions: A characterization of interpolation Macdonald polynomials. Zbl 0918.33014 Okounkov, Andrei 21 1998 Young basis, Wick formula, and higher Capelli identities. Zbl 0878.17008 Okounkov, Andrei 21 1996 Log-concavity of multiplicities with application to characters of \(U(\infty)\). Zbl 0910.22011 Okounkov, Andrei 20 1997 The quantum differential equation of the Hilbert scheme of points in the plane. Zbl 1213.14108 Okounkov, A.; Pandharipande, R. 19 2010 On the crossroads of enumerative geometry and geometric representation theory. Zbl 1446.20005 Okounkov, Andrei 18 2018 Multiplicities and Newton polytopes. Zbl 0920.20032 Okounkov, Andrei 17 1998 On representations of the infinite symmetric group. Zbl 0959.20016 Okounkov, Andrei 16 1997 Hilbert schemes and multiple \(q\)-zeta values. Zbl 1327.14026 Okounkov, Andrei 15 2014 \(\text{SL}(2)\) and \(z\)-measures. Zbl 0985.43007 Okounkov, Andrei 14 2001 Enumerative geometry and geometric representation theory. Zbl 1451.14162 Okounkov, Andrei 14 2018 Thoma’s theorem and representations of the infinite bisymmetric group. Zbl 0830.20029 Okun’kov, A. Yu. 12 1994 Random partitions and instanton counting. Zbl 1099.81042 Okounkov, Andrei 12 2006 Inductive construction of stable envelopes. Zbl 1484.14052 Okounkov, Andrei 12 2021 Note on the Hilbert polynomial of a spherical variety. Zbl 0928.14032 Okounkov, A. Yu. 11 1997 Takagi lectures on Donaldson-Thomas theory. Zbl 1411.14066 Okounkov, Andrei 11 2019 Random surfaces enumerating algebraic curves. Zbl 1078.14082 Okounkov, Andrei 10 2005 Limit shapes, real and imagined. Zbl 1348.60053 Okounkov, Andrei 9 2016 Proof of a conjecture of Goulden and Jackson. Zbl 0903.05017 Okounkov, Andrei 8 1997 The 2-leg vertex in \(K\)-theoretic DT theory. Zbl 1467.14133 Kononov, Ya.; Okounkov, Andreĭ Yur’evich; Osinenko, A. 8 2021 GW/PT descendent correspondence via vertex operators. Zbl 1440.14259 Oblomkov, A.; Okounkov, A.; Pandharipande, R. 7 2020 What is \(\dots\) a dimer? Zbl 1142.82339 Kenyon, Richard; Okounkov, Andrei 6 2005 Geometry of planar log-fronts. Zbl 1222.14127 Mikhalkin, Grigory; Okounkov, Andrei 5 2007 Noncommutative geometry and Painlevé equations. Zbl 1329.14012 Okounkov, Andrei; Rains, Eric 5 2015 Multipoint series of Gromov-Witten invariants of \(\mathbb {CP}^1\). Zbl 1016.14027 Getzler, E.; Okounkov, A.; Pandharipande, R. 5 2002 Combinatorial formula for Macdonald polynomials and generic Macdonald polynomials. Zbl 1036.05050 Okounkov, Andrei 5 2003 Virasoro constraints for stable pairs on toric threefolds. Zbl 1505.14115 Moreira, Miguel; Oblomkov, Alexei; Okounkov, Andrei; Pandharipande, Rahul 4 2022 Random trees and moduli of curves. Zbl 1052.14066 Okounkov, Andrei 4 2003 An inductive method of expounding the representation theory of symmetric groups. Zbl 0895.20011 Vershik, A. M.; Okun’kov, A. Yu. 3 1996 The magic of 8 and 24. Zbl 1544.11060 Okounkov, Andrei 3 2023 A remark on the Fourier pairing and the binomial formula for the Macdonald polynomials. Zbl 1022.05084 Okounkov, A. Yu. 3 2002 Combinatorial geometry takes the lead. Zbl 1535.05059 Okounkov, Andrei 2 2023 Representation of orbits in the form of a sum of elementary orbits. Zbl 0834.22014 Okun’kov, A. Yu. 1 1994 Rhymes in primes. Zbl 1548.11120 Okounkov, Andrei 1 2023 Igor’ Moiseevich Krichever. Zbl 1489.01018 Buchstaber, V. M.; Varchenko, A. N.; Veselov, A. P.; Grinevich, P. G.; Grushevsky, S. M.; Dobrokhotov, S. Yu.; Zabrodin, A. V.; Marshakov, A. V.; Mironov, A. E.; Nekrasov, N. A.; Novikov, S. P.; Okounkov, A. Yu.; Olshanetsky, M. A.; Pogrebkov, A. K.; Taimanov, I. A.; Tsfasman, M. A.; Chekhov, L. O.; Sheinman, O. K.; Shlosman, S. B. 1 2021 The magic of 8 and 24. Zbl 1544.11060 Okounkov, Andrei 3 2023 Combinatorial geometry takes the lead. Zbl 1535.05059 Okounkov, Andrei 2 2023 Rhymes in primes. Zbl 1548.11120 Okounkov, Andrei 1 2023 Quantum difference equation for Nakajima varieties. Zbl 1504.14096 Okounkov, A.; Smirnov, A. 39 2022 Virasoro constraints for stable pairs on toric threefolds. Zbl 1505.14115 Moreira, Miguel; Oblomkov, Alexei; Okounkov, Andrei; Pandharipande, Rahul 4 2022 Elliptic stable envelopes. Zbl 1524.14098 Aganagic, Mina; Okounkov, Andrei 68 2021 Inductive construction of stable envelopes. Zbl 1484.14052 Okounkov, Andrei 12 2021 The 2-leg vertex in \(K\)-theoretic DT theory. Zbl 1467.14133 Kononov, Ya.; Okounkov, Andreĭ Yur’evich; Osinenko, A. 8 2021 Igor’ Moiseevich Krichever. Zbl 1489.01018 Buchstaber, V. M.; Varchenko, A. N.; Veselov, A. P.; Grinevich, P. G.; Grushevsky, S. M.; Dobrokhotov, S. Yu.; Zabrodin, A. V.; Marshakov, A. V.; Mironov, A. E.; Nekrasov, N. A.; Novikov, S. P.; Okounkov, A. Yu.; Olshanetsky, M. A.; Pogrebkov, A. K.; Taimanov, I. A.; Tsfasman, M. A.; Chekhov, L. O.; Sheinman, O. K.; Shlosman, S. B. 1 2021 GW/PT descendent correspondence via vertex operators. Zbl 1440.14259 Oblomkov, A.; Okounkov, A.; Pandharipande, R. 7 2020 Quantum groups and quantum cohomology. Zbl 1422.14002 Maulik, Davesh; Okounkov, Andrei 198 2019 Takagi lectures on Donaldson-Thomas theory. Zbl 1411.14066 Okounkov, Andrei 11 2019 Quantum \(q\)-Langlands correspondence. Zbl 1422.22021 Aganagic, M.; Frenkel, E.; Okounkov, A. 49 2018 On the crossroads of enumerative geometry and geometric representation theory. Zbl 1446.20005 Okounkov, Andrei 18 2018 Enumerative geometry and geometric representation theory. Zbl 1451.14162 Okounkov, Andrei 14 2018 Lectures on \(K\)-theoretic computations in enumerative geometry. Zbl 1402.19001 Okounkov, Andrei 79 2017 Quasimap counts and Bethe eigenfunctions. Zbl 1426.82018 Aganagic, Mina; Okounkov, Andrei 40 2017 Membranes and sheaves. Zbl 1369.14069 Nekrasov, Nikita; Okounkov, Andrei 75 2016 Limit shapes, real and imagined. Zbl 1348.60053 Okounkov, Andrei 9 2016 Noncommutative geometry and Painlevé equations. Zbl 1329.14012 Okounkov, Andrei; Rains, Eric 5 2015 Five dimensional gauge theories and vertex operators. Zbl 1303.14046 Carlsson, Erik; Nekrasov, Nikita; Okounkov, Andrei 38 2014 Hilbert schemes and multiple \(q\)-zeta values. Zbl 1327.14026 Okounkov, Andrei 15 2014 Exts and vertex operators. Zbl 1256.14010 Carlsson, Erik; Okounkov, Andrei 53 2012 Quantum cohomology of the Springer resolution. Zbl 1226.14069 Braverman, Alexander; Maulik, Davesh; Okounkov, Andrei 94 2011 Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds. Zbl 1232.14039 Maulik, D.; Oblomkov, A.; Okounkov, A.; Pandharipande, R. 83 2011 Quantum cohomology of the Hilbert scheme of points in the plane. Zbl 1198.14054 Okounkov, A.; Pandharipande, R. 55 2010 The local Donaldson-Thomas theory of curves. Zbl 1205.14067 Okounkov, A.; Pandharipande, R. 33 2010 The quantum differential equation of the Hilbert scheme of points in the plane. Zbl 1213.14108 Okounkov, A.; Pandharipande, R. 19 2010 Gromov-Witten theory, Hurwitz numbers, and matrix models. Zbl 1205.14072 Okounkov, A.; Pandharipande, R. 77 2009 Quantum foam and topological strings. Zbl 1246.81338 Iqbal, Amer; Vafa, Cumrun; Nekrasov, Nikita; Okounkov, Andrei 107 2008 The local Gromov-Witten theory of curves. Zbl 1126.14062 Bryan, Jim; Pandharipande, Rahul 74 2008 The theta characteristic of a branched covering. Zbl 1157.14014 Eskin, Alex; Okounkov, Andrei; Pandharipande, Rahul 31 2008 Limit shapes and the complex Burgers equation. Zbl 1156.14029 Kenyon, Richard; Okounkov, Andrei 143 2007 Random skew plane partitions and the Pearcey process. Zbl 1115.60011 Okounkov, Andrei; Reshetikhin, Nicolai 76 2007 Geometry of planar log-fronts. Zbl 1222.14127 Mikhalkin, Grigory; Okounkov, Andrei 5 2007 Seiberg-Witten theory and random partitions. Zbl 1233.14029 Nekrasov, Nikita A.; Okounkov, Andrei 586 2006 Dimers and amoebae. Zbl 1154.82007 Kenyon, Richard; Okounkov, Andrei; Sheffield, Scott 267 2006 Gromov-Witten theory and Donaldson-Thomas theory. I. Zbl 1108.14046 Maulik, D.; Nekrasov, N.; Okounkov, A.; Pandharipande, R. 203 2006 Gromov-Witten theory, Hurwitz theory, and completed cycles. Zbl 1105.14076 Okounkov, A.; Pandharipande, R. 175 2006 Quantum Calabi-Yau and classical crystals. Zbl 1129.81080 Okounkov, Andrei; Reshetikhin, Nikolai; Vafa, Cumrun 153 2006 Gromov-Witten theory and Donaldson-Thomas theory. II. Zbl 1108.14047 Maulik, D.; Nekrasov, N.; Okounkov, A.; Pandharipande, R. 108 2006 The equivariant Gromov-Witten theory of \(\mathbb P^1\). Zbl 1105.14077 Okounkov, A.; Pandharipande, R. 83 2006 Planar dimers and Harnack curves. Zbl 1100.14047 Kenyon, Richard; Okounkov, Andrei 76 2006 Virasoro constraints for target curves. Zbl 1140.14047 Okounkov, A.; Pandharipande, R. 54 2006 The birth of a random matrix. Zbl 1130.15014 Okounkov, Andrei; Reshetikhin, Nicolai 45 2006 Limits of \(BC\)-type orthogonal polynomials as the number of variables goes to infinity. Zbl 1151.33008 Okounkov, Andrei; Olshanski, Grigori 25 2006 Pillowcases and quasimodular forms. Zbl 1136.14039 Eskin, Alex; Okounkov, Andrei 24 2006 Random partitions and instanton counting. Zbl 1099.81042 Okounkov, Andrei 12 2006 The uses of random partitions. Zbl 1120.05301 Okounkov, Andrei 35 2005 A new approach to the representation theory of symmetric groups. II. Zbl 1083.20502 Vershik, A. M.; Okoun’kov, A. Yu. 34 2005 Random surfaces enumerating algebraic curves. Zbl 1078.14082 Okounkov, Andrei 10 2005 What is \(\dots\) a dimer? Zbl 1142.82339 Kenyon, Richard; Okounkov, Andrei 6 2005 Hodge integrals and invariants of the unknot. Zbl 1062.14035 Okounkov, A.; Pandharipande, R. 35 2004 Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram. Zbl 1009.05134 Okounkov, Andrei; Reshetikhin, Nikolai 205 2003 Why would multiplicities be log-concave? Zbl 1063.22024 Okounkov, Andrei 83 2003 Combinatorial formula for Macdonald polynomials and generic Macdonald polynomials. Zbl 1036.05050 Okounkov, Andrei 5 2003 Random trees and moduli of curves. Zbl 1052.14066 Okounkov, Andrei 4 2003 Generating functions for intersection numbers on moduli spaces of curves. Zbl 1048.14012 Okounkov, Andrei 40 2002 Symmetric functions and random partitions. Zbl 1017.05103 Okounkov, Andrei 35 2002 Multipoint series of Gromov-Witten invariants of \(\mathbb {CP}^1\). Zbl 1016.14027 Getzler, E.; Okounkov, A.; Pandharipande, R. 5 2002 A remark on the Fourier pairing and the binomial formula for the Macdonald polynomials. Zbl 1022.05084 Okounkov, A. Yu. 3 2002 Infinite wedge and random partitions. Zbl 0986.05102 Okounkov, Andrei 141 2001 Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials. Zbl 1019.32014 Eskin, Alex; Okounkov, Andrei 83 2001 \(\text{SL}(2)\) and \(z\)-measures. Zbl 0985.43007 Okounkov, Andrei 14 2001 Asymptotics of Plancherel measures for symmetric groups. Zbl 0938.05061 Borodin, Alexei; Okounkov, Andrei; Olshanski, Grigori 175 2000 Toda equations for Hurwitz numbers. Zbl 0969.37033 Okounkov, Andrei 131 2000 A Fredholm determinant formula for Toeplitz determinants. Zbl 0970.47014 Borodin, Alexei; Okounkov, Andrei 85 2000 Random matrices and random permutations. Zbl 1018.15020 Okounkov, Andrei 69 2000 The character of the infinite wedge representation. Zbl 0978.17016 Bloch, Spencer; Okounkov, Andrei 60 2000 The boundary of the Young graph with Jack edge multiplicities. Zbl 0960.05107 Kerov, Sergei; Okounkov, Andrei; Olshanski, Grigori 77 1998 Asymptotics of Jack polynomials as the number of variables goes to infinity. Zbl 0913.33004 Okounkov, Andrei; Olshanski, Grigori 54 1998 Shifted Schur functions. II: The binomial formula for characters of classical groups and its applications. Zbl 0941.17008 Okounkov, Andrei; Olshanski, Grigori 44 1998 (Shifted) Macdonald polynomials: \(q\)-integral representation and combinatorial formula. Zbl 0897.05085 Okounkov, Andrei 42 1998 \(BC\)-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials. Zbl 0941.17005 Okounkov, Andrei; Vershik, Anatoly 32 1998 On Newton interpolation of symmetric functions: A characterization of interpolation Macdonald polynomials. Zbl 0918.33014 Okounkov, Andrei 21 1998 Multiplicities and Newton polytopes. Zbl 0920.20032 Okounkov, Andrei 17 1998 Shifted Jack polynomials, binomial formula, and applications. Zbl 0995.33013 Okounkov, A.; Olshanski, G. 100 1997 Shifted Schur functions. Zbl 0894.05053 Okun’kov, A. Yu.; Ol’shanskij, G. 52 1997 Binomial formula for Macdonald polynomials and applications. Zbl 0911.33012 Okounkov, Andrei 33 1997 Log-concavity of multiplicities with application to characters of \(U(\infty)\). Zbl 0910.22011 Okounkov, Andrei 20 1997 On representations of the infinite symmetric group. Zbl 0959.20016 Okounkov, Andrei 16 1997 Note on the Hilbert polynomial of a spherical variety. Zbl 0928.14032 Okounkov, A. Yu. 11 1997 Proof of a conjecture of Goulden and Jackson. Zbl 0903.05017 Okounkov, Andrei 8 1997 Brunn-Minkowski inequality for multiplicities. Zbl 0893.52004 Okounkov, Andrei 109 1996 A new approach to representation theory of symmetric groups. Zbl 0959.20014 Okounkov, Andrei; Vershik, Anatoly 106 1996 Quantum immanants and higher Capelli identities. Zbl 0864.17014 Okounkov, Andrei 53 1996 Young basis, Wick formula, and higher Capelli identities. Zbl 0878.17008 Okounkov, Andrei 21 1996 An inductive method of expounding the representation theory of symmetric groups. Zbl 0895.20011 Vershik, A. M.; Okun’kov, A. Yu. 3 1996 Thoma’s theorem and representations of the infinite bisymmetric group. Zbl 0830.20029 Okun’kov, A. Yu. 12 1994 Representation of orbits in the form of a sum of elementary orbits. Zbl 0834.22014 Okun’kov, A. Yu. 1 1994 all cited Publications top 5 cited Publications all top 5 Cited by 2,459 Authors 56 Borodin, Alexei 46 Morozov, Alexei Yurievich 39 Pandharipande, Rahul 36 Okun’kov, Andreĭ Yur’evich 34 Mironov, Andrei D. 31 Gorin, Vadim 29 Ol’shanskiĭ, Grigoriĭ Iosifovich 28 Petrov, Leonid 25 Nekrasov, Nikita Alexandrovich 23 Tanzini, Alessandro 21 Varchenko, Alexander Nikolaevich 20 Johansson, Kurt 19 Bonelli, Giulio 17 Corwin, Ivan Z. 17 Lerda, Alberto 17 Shadrin, Sergey 17 Vershik, Anatoliĭ Moiseevich 16 Adler, Mark 16 Aggarwal, Amol 16 Ferrari, Patrik Lino 16 Klemm, Albrecht 16 Morales, Jose Francisco 16 Toninelli, Fabio Lucio 16 van Moerbeke, Pierre 16 Yang, Di 15 Billó, Marco 15 Fucito, Francesco 15 Harnad, John 15 Lewanski, Danilo 15 Rimányi, Richárd 15 Szabo, Richard J. 15 Toda, Yukinobu 14 Betea, Dan 14 Creutzig, Thomas 14 Feĭgin, Boris L’vovich 14 Kimura, Taro 14 Mariño, Marcos 14 Negut, Andrei 14 Orlov, Aleksandr Yu. 14 Popolitov, Aleksandr 14 Vafa, Cumrun 14 Zabzine, Maxim 13 Aganagic, Mina 13 Bourgine, Jean-Emile 13 Bufetov, Aleksandr Igorevich 13 Goulden, Ian P. 13 Jing, Naihuan 13 Litvinov, Alekseĭ Viktorovich 13 Molev, Alexander I. 13 Rains, Eric M. 13 Reshetikhin, Nikolai Yu. 13 Smirnov, Andrey V. 13 Takasaki, Kanehisa 12 Boutillier, Cédric 12 Bufetov, Alekseĭ Igor’evich 12 Chapuy, Guillaume 12 Chester, Shai M. 12 Chhita, Sunil 12 Duits, Maurice 12 Fulman, Jason E. 12 Grassi, Alba 12 Kenyon, Richard W. 12 Koroteev, Peter 12 Pak, Igor 12 Panova, Greta 12 Poghossian, Rubik 12 Tarasov, Vitaly Olegovich 12 Thomas, Richard Paul 12 Yamazaki, Masahito 11 Baik, Jinho 11 Buryak, Alexandr Y. 11 Cirafici, Michele 11 Cutkosky, Steven Dale 11 Frau, Marialuisa 11 Han, Guo-Niu 11 Heim, Bernhard Ernst 11 Huang, Minxin 11 Kaveh, Kiumars 11 Kim, Hee-Cheol 11 Markwig, Hannah 11 Morales, Alejandro Henry 11 Neuhauser, Markus 11 Oberdieck, Georg 11 Śniady, Piotr 11 Tseng, Hsian-Hua 11 Wang, Na 11 Zenkevich, Yegor 10 Alexandrov, Alexander Sergeevich 10 Bershteĭn, Mikhaĭl Aleksandrovich 10 Bogolyubov, Nikolaĭ Mikhaĭlovich 10 Bousseau, Pierrick 10 Cao, Yalong 10 Di Francesco, Philippe 10 Féray, Valentin 10 Gaiotto, Davide 10 Galakhov, Dmitry 10 Gavrylenko, Pavlo 10 Goujard, Elise 10 Iqbal, Amer 10 Kool, Martijn ...and 2,359 more Authors all top 5 Cited in 293 Serials 491 Journal of High Energy Physics 211 Communications in Mathematical Physics 144 Advances in Mathematics 100 Letters in Mathematical Physics 77 Nuclear Physics. B 61 Selecta Mathematica. New Series 60 Journal of Physics A: Mathematical and Theoretical 59 Journal of Algebra 57 Journal of Mathematical Physics 56 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 48 Journal of Geometry and Physics 45 Transactions of the American Mathematical Society 45 Geometry & Topology 44 Duke Mathematical Journal 42 The Annals of Probability 41 Probability Theory and Related Fields 39 Journal of Algebraic Combinatorics 34 Journal of Statistical Physics 34 Inventiones Mathematicae 32 Journal of Mathematical Sciences (New York) 31 Journal of Combinatorial Theory. Series A 30 Functional Analysis and its Applications 30 Mathematische Annalen 25 Theoretical and Mathematical Physics 25 Compositio Mathematica 25 Journal of the American Mathematical Society 25 Annales Henri Poincaré 23 Advances in Applied Mathematics 23 The Ramanujan Journal 22 Physics Letters. B 22 Mathematische Zeitschrift 22 Séminaire Lotharingien de Combinatoire 21 Journal of the London Mathematical Society. Second Series 19 Forum of Mathematics, Sigma 18 Annales de l’Institut Fourier 18 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 18 Journal of Statistical Mechanics: Theory and Experiment 16 Bulletin of the American Mathematical Society. New Series 16 Annals of Combinatorics 15 Communications on Pure and Applied Mathematics 15 Journal für die Reine und Angewandte Mathematik 14 Journal of Functional Analysis 14 The Electronic Journal of Combinatorics 14 Algebraic Combinatorics 13 Journal of the European Mathematical Society (JEMS) 13 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions 13 Research in Number Theory 12 Proceedings of the American Mathematical Society 12 Proceedings of the London Mathematical Society. Third Series 12 Acta Mathematica Sinica. English Series 12 Random Matrices: Theory and Applications 11 Communications in Algebra 11 Electronic Journal of Probability 11 Transformation Groups 10 Bulletin of the London Mathematical Society 10 Geometriae Dedicata 10 Geometric and Functional Analysis. GAFA 10 Research in the Mathematical Sciences 9 Discrete Mathematics 9 Journal of Pure and Applied Algebra 9 Representation Theory 9 SciPost Physics 8 European Journal of Combinatorics 8 Mathematical Physics, Analysis and Geometry 8 Forum of Mathematics, Pi 7 International Journal of Modern Physics A 7 Journal of Mathematical Analysis and Applications 7 Mathematical Proceedings of the Cambridge Philosophical Society 7 Publications Mathématiques 7 Michigan Mathematical Journal 7 International Journal of Mathematics 7 The Annals of Applied Probability 7 Kyoto Journal of Mathematics 7 Arnold Mathematical Journal 6 Journal of Number Theory 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Physica D 6 Journal of Theoretical Probability 6 Algebras and Representation Theory 6 Annals of Mathematics. Second Series 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Journal of the Institute of Mathematics of Jussieu 6 Proceedings of the Steklov Institute of Mathematics 6 Journal of Topology 6 Japanese Journal of Mathematics. 3rd Series 6 Science China. Mathematics 5 Russian Mathematical Surveys 5 Reviews in Mathematical Physics 5 Journal of Approximation Theory 5 Manuscripta Mathematica 5 Studies in Applied Mathematics 5 Stochastic Processes and their Applications 5 Journal of Algebraic Geometry 5 Journal of Lie Theory 5 Moscow Mathematical Journal 5 Oberwolfach Reports 5 European Journal of Mathematics 4 Bulletin of the Australian Mathematical Society 4 Israel Journal of Mathematics 4 Reports on Mathematical Physics ...and 193 more Serials all top 5 Cited in 59 Fields 1,047 Algebraic geometry (14-XX) 1,031 Quantum theory (81-XX) 698 Combinatorics (05-XX) 476 Probability theory and stochastic processes (60-XX) 408 Statistical mechanics, structure of matter (82-XX) 322 Nonassociative rings and algebras (17-XX) 255 Group theory and generalizations (20-XX) 214 Dynamical systems and ergodic theory (37-XX) 210 Special functions (33-XX) 193 Relativity and gravitational theory (83-XX) 186 Number theory (11-XX) 182 Differential geometry (53-XX) 172 Linear and multilinear algebra; matrix theory (15-XX) 145 Associative rings and algebras (16-XX) 143 Several complex variables and analytic spaces (32-XX) 124 Manifolds and cell complexes (57-XX) 118 Partial differential equations (35-XX) 90 Functions of a complex variable (30-XX) 86 Convex and discrete geometry (52-XX) 74 Topological groups, Lie groups (22-XX) 72 Global analysis, analysis on manifolds (58-XX) 68 Commutative algebra (13-XX) 58 Operator theory (47-XX) 46 Algebraic topology (55-XX) 43 \(K\)-theory (19-XX) 41 Mechanics of particles and systems (70-XX) 40 Ordinary differential equations (34-XX) 35 Category theory; homological algebra (18-XX) 34 Abstract harmonic analysis (43-XX) 28 Statistics (62-XX) 26 Difference and functional equations (39-XX) 26 Functional analysis (46-XX) 23 Harmonic analysis on Euclidean spaces (42-XX) 20 Numerical analysis (65-XX) 15 Computer science (68-XX) 14 History and biography (01-XX) 14 Order, lattices, ordered algebraic structures (06-XX) 14 Geometry (51-XX) 11 Approximations and expansions (41-XX) 10 Measure and integration (28-XX) 9 Real functions (26-XX) 8 Potential theory (31-XX) 8 Fluid mechanics (76-XX) 7 General and overarching topics; collections (00-XX) 7 Integral transforms, operational calculus (44-XX) 7 Information and communication theory, circuits (94-XX) 6 Integral equations (45-XX) 6 Biology and other natural sciences (92-XX) 5 Mathematical logic and foundations (03-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Field theory and polynomials (12-XX) 3 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 2 General algebraic systems (08-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General topology (54-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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