World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
44
Citations
7519
World Ranking
1596
National Ranking
687

Robert M. Guralnick 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 Robert M. Guralnick 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: 305 publications — 86th percentile

86% of scientists in this discipline score the same or lower.

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

Robert M. Guralnick 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 Robert M. Guralnick 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: 44 D-Index — 58th percentile

58% 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 - Frank Nelson Cole Prize in Algebra
  • 2016 - Fellow of the American Association for the Advancement of Science (AAAS)
  • 2013 - Fellow of the American Mathematical Society

Overview

Robert M. Guralnick is affiliated with the University of Southern California in the United States. Their primary field of study is Mathematics, with a significant focus on Discrete Mathematics and Combinatorics, along with substantial contributions in Geometry and Topology, Artificial Intelligence, Electrical and Electronic Engineering, and Mathematical Physics.

Their research work heavily involves topics such as:

  • Finite Group Theory Research
  • Coding theory and cryptography
  • Graph theory and CDMA systems
  • Geometric and Algebraic Topology
  • Advanced Algebra and Geometry
  • Limits and Structures in Graph Theory
  • Homotopy and Cohomology in Algebraic Topology

Recent publications by Robert M. Guralnick include the following:

  • "Character levels and character bounds for finite classical groups," 2023, published in Inventiones mathematicae
  • "On the generalized Fitting height and insoluble length of finite groups," 2020, published in Bulletin of the London Mathematical Society

Other relevant publications with coauthors include:

  • "On the commuting probability of p-elements in a finite group," 2023, Algebra & Number Theory (author: Timothy C. Burness)
  • "On the maximal overgroups of Sylow subgroups of finite groups," 2024, Advances in Mathematics (author: Barbara Baumeister)
  • "Generic Stabilizers for Simple Algebraic Groups," 2022, The Michigan Mathematical Journal (author: Skip Garibaldi)

Frequent coauthors collaborating with Robert M. Guralnick include:

  • Timothy C. Burness
  • E. I. Khukhro
  • Christopher Parker
  • John Lincoln
  • John S. Wilson

The scientist has published extensively in several venues, with notable publication counts in:

  • arXiv (Cornell University) - 29 publications
  • Journal of Group Theory - 16 publications
  • Journal of Algebra - 6 publications
  • Advances in Mathematics - 4 publications
  • Zenodo (CERN European Organization for Nuclear Research) - 4 publications

Robert M. Guralnick has been recognized with several awards, including:

  • Frank Nelson Cole Prize in Algebra, 2018
  • Fellow of the American Association for the Advancement of Science (AAAS), 2016
  • Fellow of the American Mathematical Society, 2013

Best Publications

  • Subgroups of prime power index in a simple group

    Robert M Guralnick

  • Some applications of the first cohomology group

    M. Aschbacher;R. Guralnick

  • Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements

    Jason Fulman;Robert M. Guralnick

  • Probabilistic generation of finite simple groups, II

    Thomas Breuer;Robert M. Guralnick;William M. Kantor

  • Probabilistic Generation of Finite Simple Groups

    Unknown

  • ON THE COMMUTING PROBABILITY IN FINITE GROUPS

    R M Guralnick;Geoffrey Raymond Robinson

  • Linear Groups with Orders Having Certain Large Prime Divisors

    Robert Guralnick;Tim Penttila;Cheryl E. Praeger;Jan Saxl

  • Indecomposable Set-Theoretical Solutions to the Quantum Yang–Baxter Equation on a Set with a Prime Number of Elements

    Pavel Etingof;Alexander Soloviev;Robert Guralnick

  • Generation of finite almost simple groups by conjugates

    Robert M. Guralnick;Jan Saxl

  • Schur covers and Carlitz’s conjecture

    Michael D. Fried;Robert Guralnick;Jan Saxl

  • A note on commuting pairs of matrices

    Robert M. Guralnick

  • Simple groups admit Beauville structures

    Robert M. Guralnick;Gunter Malle

  • On the Minimal Degree of a Primitive Permutation Group

    Robert Guralnick;Kay Magaard

  • Cross characteristic representations of symplectic and unitary groups

    Robert M. Guralnick;Kay Magaard;Jan Saxl;Pham Huu Tiep

  • Finite groups of genus zero

    Robert M Guralnick;John G Thompson

  • The rational function analogue of a question of Schur and exceptionality of permutation representations

    Robert M. Guralnick;Peter Müller;Jan Saxl

  • Adequate subgroups

    Robert Guralnick;Florian Herzig;Richard Taylor;Jack Thorne

  • Products of conjugacy classes and fixed point spaces

    Robert M. Guralnick;Gunter Malle

  • The probability of generating a classical group

    Robert M. Guralnick;William M. Kantor;Jan Saxl

  • On base sizes for symmetric groups

    Timothy C. Burness;Robert M. Guralnick;Jan Saxl

  • ON ABELIAN QUOTIENTS OF PRIMITIVE GROUPS

    Michael Aschbacher;Robert M. Guralnick

Frequent Co-Authors

Pham Huu Tiep
Pham Huu Tiep Rutgers, The State University of New Jersey
Gunter Malle
Gunter Malle Technical University of Kaiserslautern
Cheryl E. Praeger
Cheryl E. Praeger University of Western Australia
William M. Kantor
William M. Kantor University of Oregon
Martin W. Liebeck
Martin W. Liebeck Imperial College London
Alexander Lubotzky
Alexander Lubotzky Weizmann Institute of Science
Jan Saxl
Jan Saxl University of Cambridge
Michael Aschbacher
Michael Aschbacher California Institute of Technology
Terence Tao
Terence Tao University of California, Los Angeles

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