World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
44
Citations
11932
World Ranking
1547
National Ranking
668

Craig A. Tracy 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 Craig A. Tracy 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: 118 publications — 20th percentile

20% of scientists in this discipline score the same or lower.

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

Craig A. Tracy 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 Craig A. Tracy 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

  • 2020 - Steele Prize for Seminal Contribution to Research
  • 2013 - Fellow of the American Mathematical Society
  • 2011 - SIAM Fellow For fundamental contributions to statistical physics, integrable systems, and probability theory including random matrix theory and its applications.
  • 2007 - Norbert Wiener Prize in Applied Mathematics
  • 2006 - Fellow of the American Academy of Arts and Sciences

Overview

Craig A. Tracy is affiliated with the University of California, Davis in the United States. Their research primarily spans the field of Mathematics with specific focus on several subfields and topics. The main subfields of study include Statistics and Probability, General Health Professions, Mathematical Physics, Geometry and Topology, and Discrete Mathematics and Combinatorics.

The main topics covered in their work include:

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

They have co-authored publications with several frequent collaborators, including:

  • Harold Widom
  • Estelle Basor
  • Albrecht Böttcher
  • Torsten Ehrhardt
  • Axel Saenz

Their publication record includes recent papers such as:

  • "Remembrances of Harold Widom," 2022, 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)
  • "Memories of Mikio Sato (1928-2023)," 2024, Notices of the American Mathematical Society

The frequent publication venues include:

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

Craig A. Tracy has also authored books, notably published by Springer Nature. One book listed is "Toeplitz Operators and Random Matrices" published in 2022.

Their career has been recognized through several awards and honors including:

  • Steele Prize for Seminal Contribution to Research (2020)
  • Fellow of the American Mathematical Society (2013)
  • SIAM Fellow (2011) for contributions to statistical physics, integrable systems, and probability theory including random matrix theory and its applications
  • Norbert Wiener Prize in Applied Mathematics (2007)
  • Fellow of the American Academy of Arts and Sciences (2006)

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

  • Spin spin correlation functions for the two-dimensional Ising model: Exact theory in the scaling region

    Tai Tsun Wu;Barry M. McCoy;Craig A. Tracy;Eytan Barouch

  • Level spacing distributions and the Bessel kernel

    Craig A. Tracy;Harold Widom

  • Fredholm Determinants, Differential Equations and Matrix Models

    Craig A. Tracy;Harold Widom

  • Painlevé functions of the third kind

    Barry M. McCoy;Craig A. Tracy;Tai Tsun Wu

  • Asymptotics in ASEP with Step Initial Condition

    Craig A. Tracy;Harold Widom

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

    Craig A. Tracy;Harold Widom

  • One particle reduced density matrix of impenetrable bosons in one dimension at zero temperature

    H. G. Vaidya;C. A. Tracy

  • Integral Formulas for the Asymmetric Simple Exclusion Process

    Craig A. Tracy;Harold Widom

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

    Janko Gravner;Craig A. Tracy;Harold Widom

  • Two-Dimensional Ising Model as an Exactly Solvable Relativistic Quantum Field Theory: Explicit Formulas for n -Point Functions

    Barry M. McCoy;Craig A. Tracy;Tai Tsun Wu

  • Introduction to Random Matrices

    Craig A. Tracy;Harold Widom

  • A Fredholm Determinant Representation in ASEP

    Craig A. Tracy;Harold Widom

  • Z n Baxter model: Symmetries and the Belavin parametrization

    Matthew P. Richey;Craig A. Tracy

  • Distribution Functions for Largest Eigenvalues and Their Applications

    Craig A. Tracy;Harold Widom

  • The Pearcey Process

    Craig A. Tracy;Harold Widom

  • Random Unitary Matrices, Permutations and Painlevé

    Craig A. Tracy;Harold Widom

  • On the distributions of the lengths of the longest monotone subsequences in random words

    Craig A. Tracy;Harold Widom

  • Nonintersecting Brownian excursions

    Craig A. Tracy;Harold Widom

  • Neutron Scattering and the Correlation Functions of the Ising Model near T c

    Craig A. Tracy;Barry M. McCoy

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

    Craig A. Tracy;Harold Widom

Frequent Co-Authors

Harold Widom
Harold Widom University of California, Santa Cruz
John Harnad
John Harnad University of Montreal
Alexander Its
Alexander Its Indiana University – Purdue University Indianapolis
Giovanni Gallavotti
Giovanni Gallavotti National Institute for Nuclear Physics
Pierre Collet
Pierre Collet University of Strasbourg
Charles M. Newman
Charles M. Newman Courant Institute of Mathematical Sciences

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