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Victor G. Kac

Victor G. Kac

MIT
United States

Award Badge
Mathematics
USA
2026

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 84 112 91 64 49 347 35559

Victor G. Kac publications per year

The chart shows the history of publications by Victor G. Kac between 1968 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Victor G. Kac published across 58 years, from 1968 to 2025, averaging 6.5 papers a year. Output peaked at 32 publications in 2002. 17 of the 378 publications appeared in the last two years.

No. of publications
10 20 30
Bar chart. Horizontal axis: year, 1968 to 2025. Vertical axis: number of publications, 0 to 32. Peak 32 publications in 2002. 1968: 1 publication 1969: 0 publications 1970: 1 publication 1971: 1 publication 1972: 0 publications 1973: 0 publications 1974: 1 publication 1975: 0 publications 1976: 2 publications 1977: 3 publications 1978: 2 publications 1979: 2 publications 1980: 8 publications 1981: 4 publications 1982: 4 publications 1983: 18 publications 1984: 3 publications 1985: 4 publications 1986: 4 publications 1987: 3 publications 1988: 5 publications 1989: 3 publications 1990: 18 publications 1991: 1 publication 1992: 4 publications 1993: 5 publications 1994: 4 publications 1995: 6 publications 1996: 4 publications 1997: 10 publications 1998: 14 publications 1999: 4 publications 2000: 6 publications 2001: 8 publications 2002: 32 publications 2003: 7 publications 2004: 5 publications 2005: 8 publications 2006: 7 publications 2007: 5 publications 2008: 6 publications 2009: 5 publications 2010: 11 publications 2011: 4 publications 2012: 6 publications 2013: 8 publications 2014: 12 publications 2015: 7 publications 2016: 9 publications 2017: 8 publications 2018: 10 publications 2019: 12 publications 2020: 12 publications 2021: 18 publications 2022: 7 publications 2023: 9 publications 2024: 9 publications 2025: 8 publications
1968 2025

378 publications in total across all disciplines

View publications per year as a table
Victor G. Kac: publications per year, 1968 to 2025
Year Publications
1968 1
1969 0
1970 1
1971 1
1972 0
1973 0
1974 1
1975 0
1976 2
1977 3
1978 2
1979 2
1980 8
1981 4
1982 4
1983 18
1984 3
1985 4
1986 4
1987 3
1988 5
1989 3
1990 18
1991 1
1992 4
1993 5
1994 4
1995 6
1996 4
1997 10
1998 14
1999 4
2000 6
2001 8
2002 32
2003 7
2004 5
2005 8
2006 7
2007 5
2008 6
2009 5
2010 11
2011 4
2012 6
2013 8
2014 12
2015 7
2016 9
2017 8
2018 10
2019 12
2020 12
2021 18
2022 7
2023 9
2024 9
2025 8
Total 378
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Victor G. Kac publications per year - data summary

  • Victor G. Kac, a Mathematics scholar from MIT, has 378 publications recorded across 58 years, from 1968 to 2025.
  • The oldest publication on record dates to 1968 and the most recent to 2025.
  • The most productive year is 2002, with 32 publications.
  • The least productive years with any output are 1968, 1970, 1971, 1974 and others, with 1 publication each.
  • 4 of the 58 years in the span carry no publications at all (1969, 1972, 1973 and 1975).
  • The rate of publication averages 6.5 papers per year over the whole span, or 7.0 per year counting only the 54 years with at least one publication.
  • The last 5 years on the chart (2021-2025) hold 51 publications, 13% of the career total.
  • Split into equal eras - 1968-1987: 61 publications (3.0 per year); 1988-2007: 156 publications (7.8 per year); 2008-2025: 161 publications (8.9 per year).
  • Comparing the opening and closing eras, the overall trend of publication is rising.

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.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 347–351 publications, is where this scientist sits. 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 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 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.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17 347
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
Download as CSV

Victor G. Kac publication distribution in Mathematics in 2026 - data summary

  • The chart plots the publication count of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 100 ranges running from 42–46 to 537+ publications.
  • Victor G. Kac, a Mathematics scholar from MIT, records 347 publications - the 90th percentile of the discipline.
  • 90% of ranked Mathematics scientists score the same or lower than Victor G. Kac, and about 10% score higher.
  • The median of the discipline falls in the 172–176 publications range, and Victor G. Kac ranks above the median.
  • The most crowded range is 142–146 publications, holding 112 scientists (3% of the field).
  • 47% of the field sits in the lowest quarter of the value range (up to 162–166 publications), so the distribution leans towards the lower end of the scale.
  • The final bar has no upper bound: it groups every scientist with 537 publications or more, 100 scientists in all (3% of the field).

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.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 84 D-Index, is where this scientist sits. 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: 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.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5
84 13 84
85 6
86+ 99
Download as CSV

Victor G. Kac D-index placement in Mathematics in 2026 - data summary

  • The chart plots the discipline H-index (D-index) of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 57 ranges running from 30 to 86+ D-Index.
  • Victor G. Kac, a Mathematics scholar from MIT, records 84 D-Index - the 97th percentile of the discipline.
  • 97% of ranked Mathematics scientists score the same or lower than Victor G. Kac, and about 3% score higher.
  • The median of the discipline falls in the 42 D-Index range, and Victor G. Kac ranks above the median.
  • The most crowded range is 30 D-Index, holding 174 scientists (5% of the field).
  • 58% of the field sits in the lowest quarter of the value range (up to 44 D-Index), so the distribution is heavily right-skewed and high scores are rare.
  • The final bar has no upper bound: it groups every scientist with 86 D-Index or more, 99 scientists in all (3% of the field).

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
Pavel Etingof
Pavel Etingof MIT
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

External Links

Wikipedia of Victor G. Kac Personal website of Victor G. Kac Google Scholar page

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