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D-Index & Metrics

Mathematics

D-Index
58
Citations
13851
World Ranking
630
National Ranking
320

Harold Widom 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 Harold Widom 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: 174 publications — 51st percentile

51% of scientists in this discipline score the same or lower.

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

Harold Widom 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 Harold Widom 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: 58 D-Index — 83rd percentile

83% 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

  • 2020 - Steele Prize for Seminal Contribution to Research
  • 2013 - Fellow of the American Mathematical Society
  • 2007 - Norbert Wiener Prize in Applied Mathematics
  • 2006 - Fellow of the American Academy of Arts and Sciences
  • 2002 - George Pólya Prize
  • 1972 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1967 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1962 - Fellow of Alfred P. Sloan Foundation

Overview

Harold Widom was affiliated with the University of California, Santa Cruz in the United States. Their research contributions spanned multiple fields, primarily within mathematics and health professions.

The scientist's recent publication record included these papers:

  • Elias M. Stein (1931-2018), 2021, Notices of the American Mathematical Society
  • In Memoriam: Freeman Dyson (1923-2020), 2021, Notices of the American Mathematical Society
  • Domain Walls in the Heisenberg-Ising Spin-1/2 Chain, 2022, arXiv (Cornell University)

Frequent coauthors included:

  • Craig A. Tracy
  • Axel Saenz
  • Lillian B. Pierce
  • William Beckner
  • Galia Dafni

Widom published repeatedly in venues such as:

  • Notices of the American Mathematical Society
  • arXiv (Cornell University)

The main fields of study were:

  • Mathematics
  • Health Professions

Within these fields, subfields addressed included:

  • General Health Professions
  • Statistics and Probability
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Philosophy

The research covered key topics such as:

  • Random Matrices and Applications
  • Algebraic structures and combinatorial models
  • Advanced Combinatorial Mathematics
  • Hermeneutics and Narrative Identity
  • Aging, Elder Care, and Social Issues
  • Health, Medicine and Society

Throughout the career, Widom received several awards, including:

  • Steele Prize for Seminal Contribution to Research, 2020
  • Fellow of the American Mathematical Society, 2013
  • Norbert Wiener Prize in Applied Mathematics, 2007
  • Fellow of the American Academy of Arts and Sciences, 2006
  • George Pólya Prize, 2002
  • Fellow of John Simon Guggenheim Memorial Foundation, 1972
  • Fellow of John Simon Guggenheim Memorial Foundation, 1967
  • Fellow of Alfred P. Sloan Foundation, 1962

Best Publications

  • Level spacing distributions and the Airy kernel

    Craig A. Tracy;Harold Widom

  • On orthogonal and symplectic matrix ensembles

    Craig A. Tracy;Harold Widom

  • Extremal polynomials associated with a system of curves in the complex plane

    Harold Widom

  • Level spacing distributions and the Bessel kernel

    Craig A. Tracy;Harold Widom

  • Fredholm Determinants, Differential Equations and Matrix Models

    Craig A. Tracy;Harold Widom

  • Asymptotic behavior of block Toeplitz matrices and determinants. II

    Harold Widom

  • Asymptotics in ASEP with Step Initial Condition

    Craig A. Tracy;Harold Widom

  • Eigenvalue distribution of time and frequency limiting

    H.J Landau;H Widom

  • Correlation Functions, Cluster Functions, and Spacing Distributions for Random Matrices

    Craig A. Tracy;Harold Widom

  • Integral Formulas for the Asymmetric Simple Exclusion Process

    Craig A. Tracy;Harold Widom

  • Toeplitz Determinants with Singular Generating Functions

    Harold Widom

  • Limit Theorems for Height Fluctuations in a Class of Discrete Space and Time Growth Models

    Janko Gravner;Craig A. Tracy;Harold Widom

  • Inversion of Toeplitz matrices II

    Harold Widom

  • Asymptotic behavior of the eigenvalues of certain integral equations

    Harold Widom

  • Introduction to Random Matrices

    Craig A. Tracy;Harold Widom

  • A Fredholm Determinant Representation in ASEP

    Craig A. Tracy;Harold Widom

  • Distribution Functions for Largest Eigenvalues and Their Applications

    Craig A. Tracy;Harold Widom

  • The Pearcey Process

    Craig A. Tracy;Harold Widom

  • Asymptotic behavior of the eigenvalues of certain integral equations. II

    Harold Widom

  • Random Unitary Matrices, Permutations and Painlevé

    Craig A. Tracy;Harold Widom

  • Erratum to: Integral Formulas for the Asymmetric Simple Exclusion Process

    Craig A. Tracy;Harold Widom

Frequent Co-Authors

Craig A. Tracy
Craig A. Tracy University of California, Davis
Albrecht Böttcher
Albrecht Böttcher Chemnitz University of Technology
Persi Diaconis
Persi Diaconis Stanford University
Daniel Bump
Daniel Bump Stanford University
Herbert S. Wilf
Herbert S. Wilf University of Pennsylvania
John Harnad
John Harnad University of Montreal
Alexander Its
Alexander Its Indiana University – Purdue University Indianapolis
Bernd Silbermann
Bernd Silbermann Chemnitz University of Technology

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