What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Pure mathematics (46.98%)
- Combinatorics (28.86%)
- Equivariant map (15.44%)
What were the highlights of his more recent work (between 2015-2021)?
- Pure mathematics (46.98%)
- Equivariant map (15.44%)
- Enumerative geometry (10.74%)
In recent papers he was focusing on the following fields of study:
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.
Between 2015 and 2021, his most popular works were:
- Elliptic stable envelopes (90 citations)
- Membranes and Sheaves (65 citations)
- Quantum Groups and Quantum Cohomology (59 citations)
In his most recent research, the most cited papers focused on:
- 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.
