2026 Craig A. Tracy: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	44	1547	1334	667	534	118	11932

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

2270
Citations
On orthogonal and symplectic matrix ensembles

Craig A. Tracy;Harold Widom

1179
Citations
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

902
Citations
Level spacing distributions and the Bessel kernel

Craig A. Tracy;Harold Widom

448
Citations
Fredholm Determinants, Differential Equations and Matrix Models

Craig A. Tracy;Harold Widom

438
Citations
Painlevé functions of the third kind

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

405
Citations
Asymptotics in ASEP with Step Initial Condition

Craig A. Tracy;Harold Widom

346
Citations
Correlation Functions, Cluster Functions, and Spacing Distributions for Random Matrices

Craig A. Tracy;Harold Widom

334
Citations
One particle reduced density matrix of impenetrable bosons in one dimension at zero temperature

H. G. Vaidya;C. A. Tracy

326
Citations
Integral Formulas for the Asymmetric Simple Exclusion Process

Craig A. Tracy;Harold Widom

308
Citations
Limit Theorems for Height Fluctuations in a Class of Discrete Space and Time Growth Models

Janko Gravner;Craig A. Tracy;Harold Widom

254
Citations
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

197
Citations
Introduction to Random Matrices

Craig A. Tracy;Harold Widom

169
Citations
A Fredholm Determinant Representation in ASEP

Craig A. Tracy;Harold Widom

168
Citations
Z n Baxter model: Symmetries and the Belavin parametrization

Matthew P. Richey;Craig A. Tracy

164
Citations
Distribution Functions for Largest Eigenvalues and Their Applications

Craig A. Tracy;Harold Widom

162
Citations
The Pearcey Process

Craig A. Tracy;Harold Widom

162
Citations
Random Unitary Matrices, Permutations and Painlevé

Craig A. Tracy;Harold Widom

155
Citations
On the distributions of the lengths of the longest monotone subsequences in random words

Craig A. Tracy;Harold Widom

152
Citations
Nonintersecting Brownian excursions

Craig A. Tracy;Harold Widom

150
Citations
Neutron Scattering and the Correlation Functions of the Ising Model near T c

Craig A. Tracy;Barry M. McCoy

145
Citations
Erratum to: Integral Formulas for the Asymmetric Simple Exclusion Process

Craig A. Tracy;Harold Widom

34
Citations

Frequent Co-Authors

Harold Widom University of California, Santa Cruz

John Harnad University of Montreal

Alexander Its Indiana University – Purdue University Indianapolis

Giovanni Gallavotti National Institute for Nuclear Physics

Pierre Collet University of Strasbourg

Charles M. Newman Courant Institute of Mathematical Sciences

External Links

Wikipedia of Craig A. Tracy Personal website of Craig A. Tracy Google Scholar page

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