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.
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.
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.
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.
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.
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Koszul Duality Patterns in Representation Theory
Alexander Beilinson;Victor Ginzburg;Wolfgang Soergel;Wolfgang Soergel.
Journal of the American Mathematical Society (1996)
Representation theory and complex geometry
Neil Chriss;Victor Ginzburg.
Koszul duality for operads
Victor Ginzburg;Mikhail Kapranov.
Duke Mathematical Journal (1994)
arXiv: Algebraic Geometry (2006)
Symplectic reflection algebras, Calogero-Moser space, and deformed Harish-Chandra homomorphism
Pavel Etingof;Victor Ginzburg.
Inventiones Mathematicae (2002)
On the category O for rational Cherednik algebras
Victor Ginzburg;Nicolas Guay;Eric Opdam;Raphaël Rouquier.
Inventiones Mathematicae (2003)
Perverse sheaves on a Loop group and Langlands' duality
arXiv: Algebraic Geometry (1995)
Quantization of Slodowy slices
Wee Liang Gan;Victor Ginzburg.
International Mathematics Research Notices (2002)
Poisson deformations of symplectic quotient singularities
Victor Ginzburg;Dmitry Kaledin.
Advances in Mathematics (2004)
Langlands reciprocity for affine quantum groups of type An
Victor Ginzburg;Eric Vasserot.
International Mathematics Research Notices (1993)
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