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Mathematics

D-Index
43
Citations
11334
World Ranking
1661
National Ranking
717

Research.com Recognitions

  • 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.

Overview

Victor Ginzburg is affiliated with the University of Chicago in the United States. Their research primarily spans the field of Mathematics, with a focus on several subfields including Geometry and Topology, Mathematical Physics, Algebra and Number Theory, Statistical and Nonlinear Physics, and Discrete Mathematics and Combinatorics.

The main topics covered in their work include:

  • Advanced Algebra and Geometry
  • Algebraic structures and combinatorial models
  • Advanced Topics in Algebra
  • Algebraic Geometry and Number Theory
  • Nonlinear Waves and Solitons
  • Advanced Combinatorial Mathematics

Ginzburg has contributed to multiple publications, appearing frequently in venues such as:

  • arXiv (Cornell University)
  • Advances in Mathematics
  • Geometric and Functional Analysis
  • Compositio Mathematica

Among recent papers authored or coauthored by Victor Ginzburg are:

  • "Differential operators on G/U and the Gelfand-Graev action", 2022, Advances in Mathematics
  • "Parabolic induction and the Harish-Chandra D-module", 2021, arXiv (Cornell University)

Notably, several papers associated with frequent collaborator Michael Finkelberg explore topics related to Lagrangian subvarieties, with publications including:

  • "Lagrangian subvarieties of hyperspherical varieties", 2023, arXiv (Cornell University)
  • "Lagrangian Subvarieties of Hyperspherical Varieties", 2025, Geometric and Functional Analysis

Ginzburg's frequent coauthors also include Roman Travkin, David Kazhdan, G Van Der, and Alexander Braverman.

In 2020, Victor Ginzburg was named a Fellow of the American Mathematical Society for contributions to Hamiltonian dynamical systems and symplectic topology, particularly in relation to the existence and non-existence of periodic orbits.

Best Publications

  • Koszul Duality Patterns in Representation Theory

    Alexander Beilinson;Victor Ginzburg;Wolfgang Soergel;Wolfgang Soergel

  • Representation theory and complex geometry

    Neil Chriss;Victor Ginzburg

  • Koszul duality for operads

    Victor Ginzburg;Mikhail Kapranov

  • Calabi-Yau algebras

    Victor Ginzburg

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

    Pavel Etingof;Victor Ginzburg

  • On the category O for rational Cherednik algebras

    Victor Ginzburg;Nicolas Guay;Eric Opdam;Raphaël Rouquier

  • Perverse sheaves on a Loop group and Langlands' duality

    Victor Ginzburg

  • Quantization of Slodowy slices

    Wee Liang Gan;Victor Ginzburg

  • Poisson deformations of symplectic quotient singularities

    Victor Ginzburg;Dmitry Kaledin

  • Langlands reciprocity for affine quantum groups of type An

    Victor Ginzburg;Eric Vasserot

  • Cohomology of quantum groups at roots of unity

    Victor Ginzburg;Shrawan Kumar

  • Langlands Reciprocity for Algebraic Surfaces

    Victor Ginzburg;Mikhail Kapranov;Eric Vasserot

  • Finite-dimensional representations of rational Cherednik algebras

    Yuri Berest;Pavel Etingof;Victor Ginzburg

  • Non-commutative Symplectic Geometry, Quiver varieties,$\,$ and$\,$ Operads

    Victor Ginzburg

  • Noncommutative geometry and quiver algebras

    William Crawley-Boevey;Pavel Etingof;Victor Ginzburg

  • Cherednik algebras and differential operators on quasi-invariants

    Yuri Berest;Pavel Etingof;Victor Ginzburg

  • Quantum groups, the loop Grassmannian, and the Springer resolution

    Sergey Arkhipov;Roman Bezrukavnikov;Victor Ginzburg

  • LECTURES ON NAKAJIMA'S QUIVER VARIETIES

    Victor Ginzburg

  • Harish-Chandra bimodules for quantized Slodowy slices

    Victor Ginzburg

  • Lectures on Noncommutative Geometry

    Victor Ginzburg

Frequent Co-Authors

Michael Finkelberg
Michael Finkelberg National Research University Higher School of Economics
Alexander Kuznetsov
Alexander Kuznetsov Steklov Mathematical Institute
Raphaël Rouquier
Raphaël Rouquier University of California, Los Angeles
J. T. Stafford
J. T. Stafford University of Manchester
David Kazhdan
David Kazhdan Hebrew University of Jerusalem
Mikhail Kapranov
Mikhail Kapranov Kavli Institute for the Physics and Mathematics of the Universe

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