World's Best Scientists 2026 revealed!
Victor G. Kac

Victor G. Kac

Award Badge
Mathematics
USA
2026

D-Index & Metrics

Mathematics

D-Index
84
Citations
35559
World Ranking
112
National Ranking
63

Victor G. Kac 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 Victor G. Kac 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: 82 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: 347 publications — 90th percentile

90% of scientists in this discipline score the same or lower.

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

Victor G. Kac 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 Victor G. Kac 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: 137 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: 84 D-Index — 97th percentile

97% 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

  • 2026 - Research.com Mathematics in United States Leader Award
  • 2025 - Research.com Mathematics in United States Leader Award
  • 2015 - Steele Prize for Lifetime Achievement
  • 2013 - Fellow of the American Mathematical Society
  • 2013 - Member of the National Academy of Sciences
  • 2007 - Fellow of the American Academy of Arts and Sciences
  • 1986 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1981 - Fellow of Alfred P. Sloan Foundation

Overview

Victor G. Kac is affiliated with MIT in the United States and has made extensive contributions to the field of mathematics, with a primary focus on algebraic structures and mathematical physics. Their work spans several subfields, including Geometry and Topology, Algebra and Number Theory, Statistical and Nonlinear Physics, Mathematical Physics, and Computational Theory and Mathematics.

Key topics explored in their research include:

  • Algebraic structures and combinatorial models
  • Advanced Topics in Algebra
  • Nonlinear Waves and Solitons
  • Advanced Algebra and Geometry
  • Homotopy and Cohomology in Algebraic Topology
  • Molecular spectroscopy and chirality
  • Advanced Algebra and Logic

Victor G. Kac has published numerous papers, with recent notable works including:

  • Polynomial tau-functions of the KP, BKP, and the s-component KP hierarchies, 2021, Journal of Mathematical Physics
  • Multicomponent KP type hierarchies and their reductions, associated to conjugacy classes of Weyl groups of classical Lie algebras, 2023, Journal of Mathematical Physics
  • Polynomial Tau-Functions for the Multicomponent KP Hierarchy, 2022, Publications of the Research Institute for Mathematical Sciences
  • $$\underline{p}$$-reduced Multicomponent KP Hierarchy and Classical $$\mathcal {W}$$-algebras $$\mathcal {W}(\mathfrak {gl}_N,\underline{p})$$, 2020, Communications in Mathematical Physics (co-authored)
  • Lie conformal superalgebras and duality of modules over linearly compact Lie superalgebras, 2020, Advances in Mathematics (co-authored)

Frequent publication venues for their work include:

  • arXiv (Cornell University)
  • Communications in Mathematical Physics
  • Japanese journal of mathematics
  • Advances in Mathematics
  • Transformation Groups

Frequently collaborating co-authors are:

  • Alberto De Sole
  • Pierluigi Möseneder Frajria
  • Paolo Papi
  • Daniele Valeri
  • Bojko Bakalov

Victor G. Kac has been recognized with several awards throughout their career. These include the Steele Prize for Lifetime Achievement (2015), membership in the National Academy of Sciences (2013), Fellow of the American Mathematical Society (2013), Fellow of the American Academy of Arts and Sciences (2007), Fellow of John Simon Guggenheim Memorial Foundation (1986), and Fellow of Alfred P. Sloan Foundation (1981).

Best Publications

  • Infinite Dimensional Lie Algebras

    Victor G. Kac

  • Vertex algebras for beginners

    Victor G. Kac

  • Basic representations of affine Lie algebras and dual resonance models

    I.B. Frenkel;V.G. Kac

  • Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras

    Victor G. Kac;A. K. Raina

  • Infinite-dimensional Lie algebras, theta functions and modular forms

    Victor G Kač;Dale H Peterson

  • Representations of classical lie superalgebras

    V. Kac

  • A sketch of Lie superalgebra theory

    V. G. Kac

  • SIMPLE IRREDUCIBLE GRADED LIE ALGEBRAS OF FINITE GROWTH

    V G Kac

  • Infinite root systems, representations of graphs and invariant theory

    V. G. Kac

  • Structure of representations with highest weight of infinite-dimensional Lie algebras☆

    V.G Kac;D.A Kazhdan

  • Contravariant form for infinite-dimensional Lie algebras and superalgebras

    V. G. Kac

  • Modular invariant representations of infinite-dimensional Lie algebras and superalgebras

    Victor G. Kac;Minoru Wakimoto

  • Some remarks on nilpotent orbits

    V.G. Kac

  • Infinite-dimensional algebras, Dedekind's η-function, classical möbius function and the very strange formula

    V.G Kac

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

    Edward Frenkel;Victor Kac;Minoru Wakimoto

  • Spin and wedge representations of infinite-dimensional Lie algebras and groups

    Victor G. Kac;Dale H. Peterson

  • Quantum reduction for affine superalgebras

    Victor Kac;Shi-Shyr Roan;Minoru Wakimoto

  • Structure theory of finite conformal algebras

    Alessandro D'Andrea;Victor G. Kac

  • Moduli Spaces of Curves and Representation Theory

    E. Arbarello;C. De Concini;V. G. Kac;C. Procesi

  • Infinite flag varieties and conjugacy theorems

    Dale H. Peterson;Victor G. Kac

  • Modular and conformal invariance constraints in representation theory of affine algebras

    Victor G Kac;Minoru Wakimoto

  • Representations of quantum groups at roots of 1: Reduction to the exceptional case

    Corrado De Concini;Victor G. Kac

Frequent Co-Authors

Weiqiang Wang
Weiqiang Wang University of Virginia
Edward Frenkel
Edward Frenkel University of California, Berkeley
Claudio Procesi
Claudio Procesi Sapienza University of Rome
Chongying Dong
Chongying Dong University of California, Santa Cruz
David Kazhdan
David Kazhdan Hebrew University of Jerusalem
Yuri I. Manin
Yuri I. Manin Max Planck Institute for Mathematics
Igor Moiseevich Krichever
Igor Moiseevich Krichever Columbia University
Igor B. Frenkel
Igor B. Frenkel Yale University
S. P. Novikov
S. P. Novikov Russian Academy of Sciences

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students pursuing Mathematics in the USA, exploring related online degrees can open diverse career opportunities. Many graduates consider advancing their education through a year long mba programs, which combine leadership skills with quantitative expertise, making them ideal for roles in finance and management.

Flexibility is key for many learners, and understanding whether can you transfer mba programs helps students make informed decisions about continuing their education without losing past credits. This is particularly beneficial for those balancing work while studying.

Data-driven roles are increasingly popular, and a master in data analytics complements a Mathematics background perfectly, equipping graduates with skills to interpret complex data and support strategic decision-making in various industries.

For those looking for accessible entry points into postgraduate education, understanding the easiest mba to get into can guide applicants toward programs that prioritize inclusivity and provide a manageable pathway to earning an MBA.

Best Scientists Citing Victor G. Kac

Trending Scientists

Recently Published Articles