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- Victor Ginzburg

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
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Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
37
Citations
10,358
98
World Ranking
1634
National Ranking
715

2020 - Fellow of the American Mathematical Society For contributions to Hamiltonian dynamical systems and symplectic topology and in particular studies into the existence and non-existence of periodic orbits.

- Pure mathematics
- Algebra
- Vector space

Victor Ginzburg focuses on Pure mathematics, Algebra, Algebra representation, Langlands dual group and Representation theory. Many of his studies involve connections with topics such as Discrete mathematics and Pure mathematics. His Algebra study combines topics from a wide range of disciplines, such as Symplectic geometry and Root of unity.

His studies in Algebra representation integrate themes in fields like Noncommutative geometry and Flag. His Representation theory study incorporates themes from Springer correspondence, Hessenberg variety and Affine Hecke algebra. His Koszul duality research is multidisciplinary, relying on both Ring, Variety and Koszul algebra.

- Koszul Duality Patterns in Representation Theory (933 citations)
- Representation theory and complex geometry (775 citations)
- Koszul duality for operads (683 citations)

His primary scientific interests are in Pure mathematics, Algebra, Noncommutative geometry, Symplectic geometry and Discrete mathematics. His research on Pure mathematics often connects related areas such as Variety. His Algebra research includes themes of Quantum group and Symplectic representation.

His Noncommutative geometry research incorporates elements of Associative algebra, Cyclic homology, Combinatorics and Noncommutative ring. His Representation theory study combines topics in areas such as Equivariant map and Affine Hecke algebra. His Algebra representation research integrates issues from Universal enveloping algebra, Subalgebra and Filtered algebra.

- Pure mathematics (77.86%)
- Algebra (32.14%)
- Noncommutative geometry (16.43%)

- Pure mathematics (77.86%)
- Algebra (32.14%)
- Langlands dual group (7.14%)

Victor Ginzburg mostly deals with Pure mathematics, Algebra, Langlands dual group, Symplectic geometry and Hilbert scheme. Character is closely connected to Group in his research, which is encompassed under the umbrella topic of Pure mathematics. His Langlands dual group research is multidisciplinary, incorporating perspectives in Differential operator, Verma module, Subalgebra, Affine space and Affine Grassmannian.

His work in Differential operator tackles topics such as Weyl group which are related to areas like Ring, Unipotent and Automorphism. His work is dedicated to discovering how Symplectic geometry, Subvariety are connected with Sheaf of modules, Line bundle and Sheaf and other disciplines. Victor Ginzburg combines subjects such as Space and Closure with his study of Hilbert scheme.

- Quantization of line bundles on lagrangian subvarieties (20 citations)
- Hamiltonian reduction and nearby cycles for mirabolic D-modules (12 citations)
- Moduli spaces, indecomposable objects and potentials over a finite field (12 citations)

- Algebra
- Pure mathematics
- Vector space

His scientific interests lie mostly in Pure mathematics, Langlands dual group, Algebra, Differential operator and Characteristic variety. Victor Ginzburg integrates many fields, such as Pure mathematics and Cotangent bundle, in his works. His studies deal with areas such as Weyl group, Verma module, Algebraic group, Affine space and Equivariant cohomology as well as Langlands dual group.

His study in the field of Quiver, Sheaf of modules and Stack is also linked to topics like Exponential sum. His Differential operator research includes elements of Affine Grassmannian, Affine transformation, Equivariant map and Subalgebra. His research integrates issues of Double affine Hecke algebra, Functor, Category O and Trigonometry in his study of Characteristic variety.

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.

Koszul Duality Patterns in Representation Theory

Alexander Beilinson;Victor Ginzburg;Wolfgang Soergel;Wolfgang Soergel.

Journal of the American Mathematical Society **(1996)**

1518 Citations

Representation theory and complex geometry

Neil Chriss;Victor Ginzburg.

**(1997)**

1308 Citations

Koszul duality for operads

Victor Ginzburg;Mikhail Kapranov.

Duke Mathematical Journal **(1994)**

1113 Citations

Calabi-Yau algebras

Victor Ginzburg.

arXiv: Algebraic Geometry **(2006)**

716 Citations

Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism

Pavel Etingof;Victor Ginzburg.

Inventiones Mathematicae **(2002)**

633 Citations

On the category O for rational Cherednik algebras

Victor Ginzburg;Nicolas Guay;Eric Opdam;Raphaël Rouquier.

Inventiones Mathematicae **(2003)**

435 Citations

Perverse sheaves on a Loop group and Langlands' duality

Victor Ginzburg.

arXiv: Algebraic Geometry **(1995)**

386 Citations

Quantization of Slodowy slices

Wee Liang Gan;Victor Ginzburg.

International Mathematics Research Notices **(2002)**

328 Citations

Poisson deformations of symplectic quotient singularities

Victor Ginzburg;Dmitry Kaledin.

Advances in Mathematics **(2004)**

246 Citations

Langlands reciprocity for affine quantum groups of type An

Victor Ginzburg;Eric Vasserot.

International Mathematics Research Notices **(1993)**

230 Citations

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