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- Dennis Gaitsgory

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
30
Citations
3,488
138
World Ranking
2737
National Ranking
1131

2020 - Member of the National Academy of Sciences

- Algebra
- Pure mathematics
- Geometry

His scientific interests lie mostly in Pure mathematics, Algebra, Geometric Langlands correspondence, Group and Derived algebraic geometry. His Group study incorporates themes from Discrete mathematics, Compactification, Simply connected space, Chern class and Reductive group. His work deals with themes such as Unipotent, Moduli of algebraic curves, Moduli space and Stack, which intersect with Reductive group.

He works mostly in the field of Langlands program, limiting it down to topics relating to Field and, in certain cases, Combinatorics, as a part of the same area of interest. In his research on the topic of Combinatorics, Lie algebra is strongly related with Representation theory. His Functor research includes themes of Algebraic cycle, Sheaf and Conjecture.

- Geometric Eisenstein series (147 citations)
- Construction of central elements in the affine Hecke algebra via nearby cycles (118 citations)
- The Gerbe Of Higgs Bundles (100 citations)

Dennis Gaitsgory mainly focuses on Pure mathematics, Algebra, Functor, Conjecture and Reductive group. His Pure mathematics study frequently intersects with other fields, such as Algebraic number. Borrowing concepts from Derived algebraic geometry, he weaves in ideas under Algebra.

Dennis Gaitsgory interconnects Space and Finite field in the investigation of issues within Conjecture. He has included themes like Discrete mathematics, Compactification and Group in his Reductive group study. His Discrete mathematics research is multidisciplinary, relying on both Combinatorics and Lie algebra.

- Pure mathematics (68.61%)
- Algebra (26.28%)
- Functor (18.25%)

- Pure mathematics (68.61%)
- Functor (18.25%)
- Conjecture (18.25%)

Dennis Gaitsgory mainly investigates Pure mathematics, Functor, Conjecture, Duality and Quantum group. He brings together Pure mathematics and Categorical variable to produce work in his papers. His study in Functor is interdisciplinary in nature, drawing from both Duality, Combinatorics and Composition.

His study focuses on the intersection of Conjecture and fields such as Space with connections in the field of Nilpotent and Stack. His study on Quantum group also encompasses disciplines like

- Category of modules and Algebraic number most often made with reference to Equivalence,
- Lattice which is related to area like Factorization. The Affine Grassmannian study combines topics in areas such as Field and Finite field.

- A Study in Derived Algebraic Geometry, Part 1: Volume I: Correspondences and Duality (96 citations)
- Geometric constant term functor(s) (32 citations)
- Quantum Langlands Correspondence (25 citations)

- Algebra
- Pure mathematics
- Geometry

Dennis Gaitsgory spends much of his time researching Pure mathematics, Functor, Duality, Derived algebraic geometry and Volume. His study connects Calculus and Pure mathematics. The concepts of his Functor study are interwoven with issues in Duality, Combinatorics, Term, Geometric group theory and Order.

The study incorporates disciplines such as Field, Type, Inverse and Composition in addition to Duality. His Conjecture study combines topics from a wide range of disciplines, such as Homotopy, Gravitational singularity, Triviality and Metric. Langlands dual group and Algebra are inherently bound to his Affine Grassmannian studies.

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.

A Study in Derived Algebraic Geometry, Part 1: Volume I: Correspondences and Duality

Dennis Gaitsgory;Nick Rozenblyum.

Mathematical Surveys and#N# Monographs **(2017)**

204 Citations

Construction of central elements in the affine Hecke algebra via nearby cycles

D. Gaitsgory.

Inventiones Mathematicae **(2001)**

185 Citations

Geometric Eisenstein series

A. Braverman;D. Gaitsgory.

Inventiones Mathematicae **(2002)**

162 Citations

The Gerbe Of Higgs Bundles

R.Y. Donagi;D. Gaitsgory.

Transformation Groups **(2002)**

144 Citations

Local geometric Langlands correspondence and affine Kac-Moody algebras

Edward Frenkel;Dennis Gaitsgory.

arXiv: Representation Theory **(2006)**

141 Citations

On the geometric Langlands conjecture

E. Frenkel;D. Gaitsgory;K. Vilonen.

Journal of the American Mathematical Society **(2001)**

125 Citations

Whittaker patterns in the geometry of moduli spaces of bundles on curves

Edward Frenkel;Dennis Gaitsgory;Kari Vilonen.

Annals of Mathematics **(2001)**

117 Citations

Singular support of coherent sheaves and the geometric Langlands conjecture

Dima Arinkin;Dennis Gaitsgory.

Selecta Mathematica-new Series **(2015)**

112 Citations

Uhlenbeck Spaces via Affine Lie Algebras

Alexander Braverman;Michael Finkelberg;Dennis Gaitsgory.

arXiv: Algebraic Geometry **(2006)**

110 Citations

On De Jong’s conjecture

D. Gaitsgory.

Israel Journal of Mathematics **(2007)**

109 Citations

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