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D-Index & Metrics

Mathematics

D-Index
37
Citations
7265
World Ranking
2457
National Ranking
1031

Michael Aschbacher 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 Michael Aschbacher 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: 231 publications — 72nd percentile

72% of scientists in this discipline score the same or lower.

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

Michael Aschbacher 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 Michael Aschbacher 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: 37 D-Index — 33rd percentile

33% 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

  • 2013 - Fellow of the American Mathematical Society
  • 2012 - Wolf Prize in Mathematics for his work on the theory of finite groups.
  • 2012 - Steele Prize for Mathematical Exposition
  • 2011 - Rolf Schock Prize for Mathematics
  • 1992 - Fellow of the American Academy of Arts and Sciences
  • 1990 - Member of the National Academy of Sciences
  • 1980 - Frank Nelson Cole Prize in Algebra
  • 1973 - Fellow of Alfred P. Sloan Foundation

Overview

Michael Aschbacher is affiliated with the California Institute of Technology in the United States. Their research focuses primarily on Mathematics, with a strong concentration on Discrete Mathematics and Combinatorics, Mathematical Physics, Geometry and Topology, Artificial Intelligence, and Algebra and Number Theory.

Their work covers several main topics including Finite Group Theory Research, Advanced Algebra and Geometry, Algebraic structures and combinatorial models, Coding theory and cryptography, Advanced Topics in Algebra, Geometric and Algebraic Topology, and Cellular Automata and Applications.

Frequent coauthors include Arjeh M. Cohen, Richard H. Foote, Robert M. Guralnick, Philip Hanlon, and Claire Levaillant.

Michael Aschbacher has published extensively in the following venues:

  • Proceedings of the London Mathematical Society
  • Journal of Algebra
  • Journal of the London Mathematical Society
  • Transactions of the American Mathematical Society
  • Proceedings of symposia in pure mathematics

Recent notable papers by Michael Aschbacher include:

  • The finite simple groups and their classification (2021), published in Proceedings of symposia in pure mathematics
  • Walter's theorem for fusion systems (2020), published in Proceedings of the London Mathematical Society
  • Fusion systems with alternating J-components (2020), published in Journal of the London Mathematical Society
  • Fusion systems with 2-small components (2022), published in Transactions of the American Mathematical Society
  • Walter's basic theorem for fusion systems (2020), published in Journal of Algebra

The scientist has contributed to book publications, notably with the American Mathematical Society, where they published "Quaternion Fusion Packets" in 2021.

A number of awards and honors have been granted to Michael Aschbacher, among them:

  • Fellow of the American Mathematical Society (2013)
  • Steele Prize for Mathematical Exposition (2012)
  • Wolf Prize in Mathematics (2012) for work on the theory of finite groups
  • Rolf Schock Prize for Mathematics (2011)
  • Fellow of the American Academy of Arts and Sciences (1992)
  • Member of the National Academy of Sciences (1990)
  • Frank Nelson Cole Prize in Algebra (1980)
  • Fellow of Alfred P. Sloan Foundation (1973)

Best Publications

  • Finite group theory

    Michael Aschbacher

  • On the maximal subgroups of the finite classical groups

    M. Aschbacher

  • Involutions in Chevalley groups over fields of even order

    Michael Aschbacher;Gary M. Seitz

  • Fusion Systems in Algebra and Topology

    Michael Aschbacher;Radha Kessar;Bob Oliver

  • Some applications of the first cohomology group

    M. Aschbacher;R. Guralnick

  • Maximal subgroups of finite groups

    M Aschbacher;L Scott

  • A Characterization of Chevalley Groups Over Fields of Odd Order

    Michael Aschbacher

  • Chevalley groups of type G2 as the group of a trilinear form

    Michael Aschbacher

  • The 27-dimensional module for E6. I.

    Michael Aschbacher

  • On finite groups of component type

    Michael Aschbacher

  • The Generalized Fitting Subsystem of a Fusion System

    Michael Aschbacher

  • On groups with a standard component of known type. II

    Michael Aschbacher;Gary M. Seitz

  • Flag structures on tits geometries

    Michael Aschbacher

  • Normal subsystems of fusion systems

    Michael Aschbacher

  • On Finite Groups Generated by Odd Transpositions. I.

    Michael Aschbacher

  • On collineation groups of symmetric block designs

    Michael Aschbacher

  • Fusion Systems in Algebra and Topology: Introduction to fusion systems

    Michael Aschbacher;Radha Kessar;Bob Oliver

  • ON ABELIAN QUOTIENTS OF PRIMITIVE GROUPS

    Michael Aschbacher;Robert M. Guralnick

  • Overgroups of Sylow subgroups in sporadic groups

    Michael Aschbacher

  • Simple connectivity ofp-group complexes

    Michael Aschbacher

  • The Classification of the Finite Simple Groups

    Michael Aschbacher

Frequent Co-Authors

Robert M. Guralnick
Robert M. Guralnick University of Southern California
Andrew M. Childs
Andrew M. Childs University of Maryland, College Park
Martin W. Liebeck
Martin W. Liebeck Imperial College London
Daniel Gorenstein
Daniel Gorenstein Rutgers, The State University of New Jersey

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