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- Andrei Okounkov

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
54
Citations
12,809
98
World Ranking
609
National Ranking
317

2016 - Fellow of the American Academy of Arts and Sciences

2012 - Member of the National Academy of Sciences

2006 - Fields Medal of International Mathematical Union (IMU) For his contributions bridging probability, representation theory and algebraic geometry.

2000 - Fellow of Alfred P. Sloan Foundation

- Mathematical analysis
- Pure mathematics
- Algebra

His primary areas of study are Combinatorics, Pure mathematics, Mathematical analysis, Moduli space and Algebra. His work on Partition and Symmetric group as part of general Combinatorics research is often related to Local structure and Exact results, thus linking different fields of science. The various areas that he examines in his Partition study include Irreducible representation and Finite group.

His research in the fields of ELSV formula overlaps with other disciplines such as Gauss hypergeometric function. Andrei Okounkov combines subjects such as Algebraic geometry, Algebraic curve and Boundary with his study of Mathematical analysis. His Algebra research includes themes of Representation theory of the symmetric group and Dominance order, Ring of symmetric functions.

- Seiberg-Witten theory and random partitions (1019 citations)
- Gromov-Witten theory and Donaldson-Thomas theory, I (461 citations)
- Asymptotics of Plancherel measures for symmetric groups (407 citations)

His scientific interests lie mostly in Pure mathematics, Combinatorics, Equivariant map, Algebra and Quantum. His is doing research in Algebraic geometry, Moduli space, Hilbert scheme, Quiver and Quantum cohomology, both of which are found in Pure mathematics. Andrei Okounkov has included themes like Equivalence and Mathematical analysis in his Algebraic geometry study.

His Equivariant map research is multidisciplinary, relying on both Invertible matrix, Vertex, Elliptic cohomology, Differential equation and Symplectic geometry. Andrei Okounkov has researched Quantum in several fields, including Generalization, Lattice, Coupling constant and Mathematical physics. His study in Symmetric group is interdisciplinary in nature, drawing from both Irreducible representation, Mathematical proof, Simple, Center and Partition.

- Pure mathematics (46.98%)
- Combinatorics (28.86%)
- Equivariant map (15.44%)

- Pure mathematics (46.98%)
- Equivariant map (15.44%)
- Enumerative geometry (10.74%)

Andrei Okounkov focuses on Pure mathematics, Equivariant map, Enumerative geometry, Calculus and Elliptic cohomology. His studies in Equivariant map integrate themes in fields like Tensor, Combinatorics, Calabi–Yau manifold, Quantum and Vertex. His biological study spans a wide range of topics, including Integral solution, Loop, Eigenfunction and Mathematical physics.

His Calculus research incorporates themes from Range and Donaldson–Thomas theory. His Elliptic cohomology research also works with subjects such as

- Monodromy and related Generalization,
- Torus most often made with reference to K-theory. To a larger extent, Andrei Okounkov studies Algebra with the aim of understanding Quiver.

- Elliptic stable envelopes (90 citations)
- Membranes and Sheaves (65 citations)
- Quantum Groups and Quantum Cohomology (59 citations)

- Mathematical analysis
- Pure mathematics
- Algebra

Andrei Okounkov focuses on Pure mathematics, Quiver, Quantum, Equivariant map and Langlands dual group. His study in Enumerative geometry, Cohomology, Yangian and Quantum cohomology falls within the category of Pure mathematics. The concepts of his Quiver study are interwoven with issues in Hopf algebra, Quantum group, Equivariant cohomology and Liouville field theory.

As a member of one scientific family, Andrei Okounkov mostly works in the field of Quantum, focusing on Algebra and, on occasion, Differential equation. His work carried out in the field of Equivariant map brings together such families of science as Fixed point, Vertex, Automorphism, Homogeneous space and Calabi–Yau manifold. The Langlands dual group study combines topics in areas such as Quantum affine algebra, Supersymmetry, String theory and Little string theory.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Seiberg-Witten theory and random partitions

Nikita A. Nekrasov;Andrei Okounkov.

Prog.Math. **(2003)**

1227 Citations

Seiberg-Witten theory and random partitions

Nikita A. Nekrasov;Andrei Okounkov.

Prog.Math. **(2003)**

1227 Citations

Gromov-Witten theory and Donaldson-Thomas theory, I

D. Maulik;N. Nekrasov;A. Okounkov;R. Pandharipande.

Compositio Mathematica **(2006)**

568 Citations

Gromov-Witten theory and Donaldson-Thomas theory, I

D. Maulik;N. Nekrasov;A. Okounkov;R. Pandharipande.

Compositio Mathematica **(2006)**

568 Citations

Dimers and amoebae

Richard Kenyon;Andrei Okounkov;Scott Sheffield.

Annals of Mathematics **(2006)**

497 Citations

Dimers and amoebae

Richard Kenyon;Andrei Okounkov;Scott Sheffield.

Annals of Mathematics **(2006)**

497 Citations

Asymptotics of Plancherel measures for symmetric groups

Alexei Borodin;Andrei Okounkov;Andrei Okounkov;Grigori Olshanski.

Journal of the American Mathematical Society **(2000)**

454 Citations

Asymptotics of Plancherel measures for symmetric groups

Alexei Borodin;Andrei Okounkov;Andrei Okounkov;Grigori Olshanski.

Journal of the American Mathematical Society **(2000)**

454 Citations

Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram

Andrei Okounkov;Nikolai Reshetikhin.

Journal of the American Mathematical Society **(2003)**

441 Citations

Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram

Andrei Okounkov;Nikolai Reshetikhin.

Journal of the American Mathematical Society **(2003)**

441 Citations

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