2026 Igor B. Frenkel: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	38	2271	2011	959	798	103	12921

Research.com Recognitions

2018 - Member of the National Academy of Sciences
2015 - Fellow of the American Academy of Arts and Sciences
1990 - Fellow of John Simon Guggenheim Memorial Foundation
1984 - Fellow of Alfred P. Sloan Foundation

Overview

Igor B. Frenkel is affiliated with Yale University in the United States and has contributed extensively to the field of Mathematics. Their research spans thirteen publications across various subfields and topics within mathematics, reflecting a broad and interdisciplinary approach.

The main fields of study associated with their work include:

Mathematics

Diving deeper into specific subfields, their contributions focus on:

Applied Mathematics
Geometry and Topology
Mathematical Physics
Nuclear and High Energy Physics
Statistical and Nonlinear Physics

The primary topics covered in their research are:

Algebraic and Geometric Analysis
Mathematical Analysis and Transform Methods
Advanced Algebra and Geometry
Algebraic structures and combinatorial models
Black Holes and Theoretical Physics
Noncommutative and Quantum Gravity Theories
Homotopy and Cohomology in Algebraic Topology

Igor B. Frenkel has published in multiple venues, often contributing to high-impact and broadly recognized journals, including:

arXiv (Cornell University)
Advances in Theoretical and Mathematical Physics
Communications in Mathematical Physics
International Journal of Mathematics
UNC Libraries

Recent notable papers authored by Frenkel include:

"Quaternionic analysis, representation theory and physics II" (2021), published in Advances in Theoretical and Mathematical Physics
"Sketch of a Program for Automorphic Functions from Universal Teichmüller Theory to Capture Monstrous Moonshine" (2022), published in Communications in Mathematical Physics
"Sketch of a Program for Universal Automorphic Functions to Capture Monstrous Moonshine" (2020), published on arXiv (Cornell University)
"n-Regular functions in quaternionic analysis" (2020), published in International Journal of Mathematics
"Three dimensional construction of the Virasoro-Bott group" (2021), published on arXiv (Cornell University)

The scientist has collaborated frequently with several coauthors, including:

Matvei Libine
Robert Penner
Hyun Kyu Kim
Alexander M. Kirillov
Alexander Varchenko

Throughout their career, Igor B. Frenkel has received several recognitions, such as:

Member of the National Academy of Sciences (2018)
Fellow of the American Academy of Arts and Sciences (2015)
Fellow of John Simon Guggenheim Memorial Foundation (1990)
Fellow of Alfred P. Sloan Foundation (1984)

Best Publications

Vertex operator algebras and the Monster

Igor Frenkel;James Lepowsky;Arne Meurman

2933
Citations
On Axiomatic Approaches to Vertex Operator Algebras and Modules

Igor B. Frenkel;Yi-Zhi Huang;James Lepowsky

1142
Citations
Basic representations of affine Lie algebras and dual resonance models

I.B. Frenkel;V.G. Kac

1100
Citations
Vertex operator algebras associated to representations of affine and Virasoro Algebras

Igor B. Frenkel;Yongchang Zhu

971
Citations
Quantum affine algebras and holonomic difference equations

I. B. Frenkel;N. Yu. Reshetikhin

753
Citations
Four‐dimensional topological quantum field theory, Hopf categories, and the canonical bases

Louis Crane;Igor B. Frenkel

393
Citations
Vertex representations of quantum affine algebras.

Igor B. Frenkel;Naihuan Jing

360
Citations
A natural representation of the Fischer-Griess Monster with the modular function J as character

Igor Frenkel;James Lepowsky;Arne Meurman

351
Citations
Lectures on Representation Theory and Knizhnik-Zamolodchikov Equations

Pavel Etingof;Igor Frenkel;Alexander Kirillov

349
Citations
Isomorphism of two realizations of quantum affine algebra\(U_q (\widehat{\mathfrak{g}\mathfrak{l}{ ext{(}}n{ ext{)}}})\)

Jin Tai Ding;Igor B. Frenkel

322
Citations
Spinor Construction of Vertex Operator Algebras, Triality, and E

Alex J. Feingold;Igor B. Frenkel;John F. X. Ries

317
Citations
Semi-infinite cohomology and string theory

I. B. Frenkel;H. Garland;G. J. Zuckerman

306
Citations
Canonical bases in tensor products and graphical calculus for Uq(2)

Igor B. Frenkel;Mikhail G. Khovanov

304
Citations
Two constructions of affine Lie algebra representations and boson-fermion correspondence in quantum field theory

I.B Frenkel

273
Citations
A hyperbolic Kac-Moody algebra and the theory of Siegel modular forms of genus 2

Alex J. Feingold;Igor B. Frenkel

217
Citations
Elliptic solutions of the Yang-Baxter equation and modular hypergeometric functions

Igor B. Frenkel;Vladimir G. Turaev

195
Citations
A categorification of the Temperley-Lieb algebra and Schur quotients of U(sl(2)) via projective and Zuckerman functors

Joseph Bernstein;Igor Frenkel;Mikhail Khovanov

181
Citations
Vertex operator calculus

Igor Frenkel;James Lepowsky;Arne Meurman

174
Citations
Classical affine algebras

Alex J Feingold;Igor B Frenkel

167
Citations
Orbital theory for affine Lie algebras.

Igor Frenkel

143
Citations

Frequent Co-Authors

James Lepowsky Rutgers, The State University of New Jersey

Pavel Etingof MIT

Mikhail Khovanov Columbia University

Weiqiang Wang University of Virginia

Michael Finkelberg National Research University Higher School of Economics

Boris Feigin Hebrew University of Jerusalem

Alexander Varchenko University of North Carolina at Chapel Hill

Vladimir Turaev Indiana University

Victor G. Kac MIT

Gregory W. Moore Rutgers, The State University of New Jersey

External Links

Wikipedia of Igor B. Frenkel Personal website of Igor B. Frenkel Google Scholar page

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