World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
68
Citations
16143
World Ranking
317
National Ranking
176

Engineering and Technology

D-Index
63
Citations
14536
World Ranking
1765
National Ranking
572

James Glimm 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 James Glimm 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: 82 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: 349 publications — 90th percentile

90% of scientists in this discipline score the same or lower.

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

James Glimm 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 James Glimm 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: 137 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: 68 D-Index — 92nd percentile

92% 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
  • 2009 - SIAM Fellow For contributions to operator algebras, partial differential equations, mathematical physics, and especially shock wave theory.
  • 2002 - US President's National Medal of Science "For his original approaches and creative contributions to an array of disciplines in mathematical analysis and mathematical physics, which are fundamental to the theory of operator algebras, shock-wave theory, advanced quantum field theory, quantum statistical mechanics, applied mathematics, and scientific computation Also affiliated with Brookhaven National Laboratory", Presented by President George W. Bush in a White House East Room ceremony on November 6, 2003.
  • 1984 - Member of the National Academy of Sciences
  • 1981 - Fellow of the American Academy of Arts and Sciences
  • 1980 - Dannie Heineman Prize for Mathematical Physics, American Physical Society and American Institute of Physics
  • 1965 - Fellow of John Simon Guggenheim Memorial Foundation
  • 1963 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

James Glimm is affiliated with Stony Brook University in the United States. Their research spans multiple fields, primarily within Engineering and Physics and Astronomy. The main areas of study include Computational Mechanics, Statistical and Nonlinear Physics, Nuclear and High Energy Physics, Finance, and Applied Mathematics.

The scientific topics of focus in their work include Fluid Dynamics and Turbulent Flows, Computational Fluid Dynamics and Aerodynamics, Laser-Plasma Interactions and Diagnostics, Financial Risk and Volatility Modeling, Advanced Thermodynamics and Statistical Mechanics, Navier-Stokes equation solutions, and Laser-induced spectroscopy and plasma.

James Glimm has published extensively across several venues. Frequent publication sources include:

  • arXiv (Cornell University)
  • Physica D Nonlinear Phenomena
  • Journal of Risk and Financial Management
  • SN Applied Sciences
  • 2021 Computing in Cardiology (CinC)

Among key papers authored by James Glimm are:

  • "A crisis for the verification and validation of turbulence simulations," 2020, Physica D Nonlinear Phenomena
  • "Maximum entropy production as a necessary admissibility condition for the fluid Navier-Stokes and Euler equations," 2020, SN Applied Sciences

Other notable publications in related works, though not authored by Glimm, include:

  • "The αs and θs in Rayleigh-Taylor and Richtmyer-Meshkov instabilities," 2020, Physica D Nonlinear Phenomena
  • "Systemic Risk Modeling with Lévy Copulas," 2021, Journal of Risk and Financial Management
  • "Interactive 3D Human Heart Simulations on Segmented Human MRI Hearts," 2021, 2021 Computing in Cardiology (CinC)

Frequent collaborators of James Glimm include Gui-Qiang Chen, Hamid Said, Jarret Petrillo, Min Chul Lee, and Abdul Hasib Rahimyar.

Awards received by James Glimm cover a significant span of time and include:

  • Fellow of the American Mathematical Society (2013)
  • SIAM Fellow (2009) for contributions to operator algebras, partial differential equations, mathematical physics, and shock wave theory
  • US President's National Medal of Science (2002), awarded for original approaches across multiple disciplines, including operator algebras, shock-wave theory, advanced quantum field theory, quantum statistical mechanics, applied mathematics, and scientific computation, presented by President George W. Bush in 2003
  • Member of the National Academy of Sciences (1984)
  • Fellow of the American Academy of Arts and Sciences (1981)
  • Dannie Heineman Prize for Mathematical Physics from the American Physical Society and American Institute of Physics (1980)
  • Fellow of John Simon Guggenheim Memorial Foundation (1963 and 1965)

Best Publications

  • Solutions in the large for nonlinear hyperbolic systems of equations

    James Glimm

  • Three-Dimensional Front Tracking

    James Glimm;John W. Grove;Xiao Lin Li;Keh-ming Shyue

  • On a certain class of operator algebras

    James G. Glimm

  • Decay of Solutions of Systems of Nonlinear Hyperbolic Conservation Laws

    James Glimm;Peter D. Lax

  • Front Tracking for gas Dynamics

    I-L Chern;J Glimm;O McBryan;B Plohr

  • Type I C ∗ -Algebras

    James Glimm

  • Positivity of the ϕ34 Hamiltonian

    James Glimm;Arthur M. Jaffe

  • The Wightman Axioms and Particle Structure in the (φ) 2 Quantum Field Model

    James Glimm;Arthur Jaffe;Thomas Spencer

  • A lambdaphi$sup 4$ QUANTUM FIELD THEORY WITHOUT CUTOFFS. I.

    James Glimm;Arthur Jaffe

  • A critical analysis of Rayleigh-Taylor growth rates

    J. Glimm;J. W. Grove;X. L. Li;W. Oh

  • A STONE-WEIERSTRASS THEOREM FOR C*-ALGEBRAS

    James Glimm

  • Robust Computational Algorithms for Dynamic Interface Tracking in Three Dimensions

    James Glimm;John W. Grove;X. L. Li;D. C. Tan

  • Detection of cancer-specific markers amid massive mass spectral data.

    Wei Zhu;Xuena Wang;Yeming Ma;Manlong Rao

  • Phase transitions for φ{ 2 / 4 } quantum fields

    James Glimm;Arthur Jaffe;Thomas Spencer

  • LOCALLY COMPACT TRANSFORMATION GROUPS(

    James Glimm

  • The λ(ϕ 4 ) 2 Quantum Field Theory Without Cutoffs: II. The Field Operators and the Approximate Vacuum

    James Glimm;Arthur Jaffe

  • A simple package for front tracking

    Jian Du;Brian Fix;James Glimm;Xicheng Jia

  • Front tracking for hyperbolic systems

    J Glimm;E Isaacson;D Marchesin;O Mcbryan

  • The λ(φ4)2 quantum field theory without cutoffsquantum field theory without cutoffs: III. The physical vacuum

    James Glimm;Arthur Jaffe

  • The Particle Structure of the Weakly Coupled P(φ)2 Model and Other Applications of High Temperature Expansions

    James Glimm;Arthur Jaffe;Thomas Spencer

Frequent Co-Authors

Scott A. Smolka
Scott A. Smolka Stony Brook University
Radu Grosu
Radu Grosu TU Wien
Gui-Qiang Chen
Gui-Qiang Chen University of Oxford
Edmund M. Clarke
Edmund M. Clarke Carnegie Mellon University
David E. Keyes
David E. Keyes King Abdullah University of Science and Technology
Ahsan Kareem
Ahsan Kareem University of Notre Dame
Thomas J. Spencer
Thomas J. Spencer Massachusetts General Hospital
Karen Uhlenbeck
Karen Uhlenbeck The University of Texas at Austin
Edward Witten
Edward Witten Institute for Advanced Study

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