D-Index & Metrics Best Publications

D-Index & Metrics

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 49 Citations 9,066 116 World Ranking 605 National Ranking 310

Research.com Recognitions

Awards & Achievements

2014 - Fellow of the American Academy of Arts and Sciences

2014 - Fellow of the American Mathematical Society For contributions to representation theory, conformal field theory, affine Lie algebras, and quantum field theory.

1995 - Fellow of Alfred P. Sloan Foundation

Overview

What is he best known for?

The fields of study he is best known for:

  • Pure mathematics
  • Algebra
  • Geometry

Algebra, Pure mathematics, Algebra representation, Quantum affine algebra and Current algebra are his primary areas of study. His research brings together the fields of Mathematical physics and Algebra. Pure mathematics is closely attributed to Quantum in his work.

His studies deal with areas such as Affine Lie algebra, Particle physics and representation theory and Restricted representation as well as Algebra representation. Edward Frenkel combines subjects such as Discrete mathematics, Combinatorics and Homomorphism with his study of Quantum affine algebra. His Current algebra study integrates concerns from other disciplines, such as Cohomology, Quantum group and Subalgebra.

His most cited work include:

  • Vertex Algebras and Algebraic Curves (657 citations)
  • Gaudin model, Bethe ansatz and critical level (299 citations)
  • AFFINE KAC-MOODY ALGEBRAS AT THE CRITICAL LEVEL AND GELFAND-DIKII ALGEBRAS (292 citations)

What are the main themes of his work throughout his whole career to date?

Edward Frenkel focuses on Pure mathematics, Algebra, Affine transformation, Langlands dual group and Quantum affine algebra. His work in the fields of Pure mathematics, such as Geometric Langlands correspondence, Langlands program, Subalgebra and Lie algebra, overlaps with other areas such as Duality. His Lie algebra study deals with Mathematical physics intersecting with Cohomology, Poisson bracket, Type and Quantum.

His Algebra study combines topics from a wide range of disciplines, such as Current algebra, Affine Lie algebra, Algebra representation and Virasoro algebra. His work carried out in the field of Algebra representation brings together such families of science as Universal enveloping algebra and Filtered algebra. His biological study spans a wide range of topics, including Bethe ansatz and Affine representation.

He most often published in these fields:

  • Pure mathematics (57.58%)
  • Algebra (34.85%)
  • Affine transformation (20.20%)

What were the highlights of his more recent work (between 2010-2021)?

  • Pure mathematics (57.58%)
  • Langlands dual group (17.68%)
  • Langlands program (12.12%)

In recent papers he was focusing on the following fields of study:

Edward Frenkel mostly deals with Pure mathematics, Langlands dual group, Langlands program, Duality and Quantum affine algebra. His Pure mathematics research incorporates themes from Quantum and Algebra. In general Algebra study, his work on Quotient stack often relates to the realm of Gromov–Witten invariant, thereby connecting several areas of interest.

His research in Langlands dual group intersects with topics in Differential operator, Lie algebra and Affine transformation. His Langlands program research includes themes of Vertex operator algebra, Simple Lie group and Gerbe. His research integrates issues of Ring, Bethe ansatz, Subalgebra and Affine representation in his study of Quantum affine algebra.

Between 2010 and 2021, his most popular works were:

  • BAXTER'S RELATIONS AND SPECTRA OF QUANTUM INTEGRABLE MODELS (93 citations)
  • Surface Operators and Separation of Variables (57 citations)
  • Quantum q-Langlands Correspondence (45 citations)

In his most recent research, the most cited papers focused on:

  • Pure mathematics
  • Algebra
  • Geometry

His primary scientific interests are in Pure mathematics, Langlands dual group, Quantum affine algebra, Duality and Geometric Langlands correspondence. His study in Vertex operator algebra and Integrable system is carried out as part of his Pure mathematics studies. His research is interdisciplinary, bridging the disciplines of Lie algebra and Langlands dual group.

Edward Frenkel has researched Lie algebra in several fields, including Differential operator, Schrödinger's cat and Affine transformation. Quantum affine algebra is closely attributed to Eigenvalues and eigenvectors in his research. His Geometric Langlands correspondence study combines topics in areas such as Affine Lie algebra, String theory and Lie conformal algebra.

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.

Best Publications

Vertex Algebras and Algebraic Curves

Edward Vladimir Frenkel;David Ben-Zvi.
(2000)

810 Citations

Quantization of the Drinfeld-Sokolov reduction

Boris Feigin;Edward Frenkel.
Physics Letters B (1990)

406 Citations

Affine Kac-Moody algebras and semi-infinite flag manifolds

Boris L. Geigin;Edward V. Frenkel.
Communications in Mathematical Physics (1990)

315 Citations

AFFINE KAC-MOODY ALGEBRAS AT THE CRITICAL LEVEL AND GELFAND-DIKII ALGEBRAS

Boris Feigin;Edward Frenkel.
International Journal of Modern Physics A (1992)

308 Citations

Gaudin model, Bethe ansatz and critical level

Boris Feigin;Edward Frenkel;Nikolai Reshetikhin.
Communications in Mathematical Physics (1994)

299 Citations

Characters and fusion rules for W-algebras via quantized Drinfeld-Sokolov reduction

Edward Frenkel;Victor Kac;Minoru Wakimoto.
Communications in Mathematical Physics (1992)

283 Citations

Quantum $\scr W$-algebras and elliptic algebras

Boris Feigin;Edward Frenkel.
Communications in Mathematical Physics (1996)

282 Citations

Quantum affine algebras and deformations of the Virasoro and 237-1237-1237-1

Edward Frenkel;Nikolai Reshetikhin.
Communications in Mathematical Physics (1996)

256 Citations

Lectures on the Langlands program and conformal field theory

Edward Frenkel.
arXiv: High Energy Physics - Theory (2005)

243 Citations

Quantum Affine Algebras and Deformations of the Virasoro and W-algebras

Edward Frenkel;Nikolai Reshetikhin.
arXiv: Quantum Algebra (1995)

229 Citations

Best Scientists Citing Edward Frenkel

Boris Feigin

Boris Feigin

National Research University Higher School of Economics

Publications: 81

Haisheng Li

Haisheng Li

Rutgers, The State University of New Jersey

Publications: 41

Thomas Creutzig

Thomas Creutzig

University of Alberta

Publications: 36

Jürgen Fuchs

Jürgen Fuchs

Karlstad University

Publications: 31

Christoph Schweigert

Christoph Schweigert

Universität Hamburg

Publications: 30

Victor G. Kac

Victor G. Kac

MIT

Publications: 29

Alexander Varchenko

Alexander Varchenko

University of North Carolina at Chapel Hill

Publications: 28

Dennis Gaitsgory

Dennis Gaitsgory

Harvard University

Publications: 26

Ingo Runkel

Ingo Runkel

Universität Hamburg

Publications: 23

Michio Jimbo

Michio Jimbo

Rikkyo University

Publications: 22

Eric Ragoucy

Eric Ragoucy

Centre national de la recherche scientifique, CNRS

Publications: 19

Satoru Odake

Satoru Odake

Shinshu University

Publications: 19

Pavel Etingof

Pavel Etingof

MIT

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Weiqiang Wang

Weiqiang Wang

University of Virginia

Publications: 17

Vladimir V. Bazhanov

Vladimir V. Bazhanov

Australian National University

Publications: 15

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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