World's Best Scientists 2026 revealed!
Igor B. Frenkel

Igor B. Frenkel

D-Index & Metrics

Mathematics

D-Index
38
Citations
12921
World Ranking
2272
National Ranking
960

Igor B. Frenkel publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Igor B. Frenkel sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 103 publications — 12th percentile

12% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Igor B. Frenkel D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Igor B. Frenkel sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 38 D-Index — 37th percentile

37% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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

  • On Axiomatic Approaches to Vertex Operator Algebras and Modules

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

  • Basic representations of affine Lie algebras and dual resonance models

    I.B. Frenkel;V.G. Kac

  • Vertex operator algebras associated to representations of affine and Virasoro Algebras

    Igor B. Frenkel;Yongchang Zhu

  • Quantum affine algebras and holonomic difference equations

    I. B. Frenkel;N. Yu. Reshetikhin

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

    Louis Crane;Igor B. Frenkel

  • Vertex representations of quantum affine algebras.

    Igor B. Frenkel;Naihuan Jing

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

    Igor Frenkel;James Lepowsky;Arne Meurman

  • Lectures on Representation Theory and Knizhnik-Zamolodchikov Equations

    Pavel Etingof;Igor Frenkel;Alexander Kirillov

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

    Jin Tai Ding;Igor B. Frenkel

  • Spinor Construction of Vertex Operator Algebras, Triality, and E

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

  • Semi-infinite cohomology and string theory

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

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

    Igor B. Frenkel;Mikhail G. Khovanov

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

    I.B Frenkel

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

    Alex J. Feingold;Igor B. Frenkel

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

    Igor B. Frenkel;Vladimir G. Turaev

  • 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

  • Vertex operator calculus

    Igor Frenkel;James Lepowsky;Arne Meurman

  • Classical affine algebras

    Alex J Feingold;Igor B Frenkel

  • Orbital theory for affine Lie algebras.

    Igor Frenkel

Frequent Co-Authors

James Lepowsky
James Lepowsky Rutgers, The State University of New Jersey
Mikhail Khovanov
Mikhail Khovanov Columbia University
Weiqiang Wang
Weiqiang Wang University of Virginia
Michael Finkelberg
Michael Finkelberg National Research University Higher School of Economics
Boris Feigin
Boris Feigin Hebrew University of Jerusalem
Alexander Varchenko
Alexander Varchenko University of North Carolina at Chapel Hill
Vladimir Turaev
Vladimir Turaev Indiana University
Gregory W. Moore
Gregory W. Moore Rutgers, The State University of New Jersey

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