World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
42
Citations
6147
World Ranking
1818
National Ranking
65

John Harnad 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 John Harnad 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: 169 publications — 48th percentile

48% of scientists in this discipline score the same or lower.

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

John Harnad 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 John Harnad 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: 42 D-Index — 51st percentile

51% 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

  • 2006 - CAP-CRM Prize in Theoretical and Mathematical Physics, Canadian Association of Physicists and Centre de Recherches Mathématiques

Overview

John Harnad is affiliated with the University of Montreal in Canada. Their research spans several areas within mathematics and physics, focusing on nonlinear waves, algebraic structures, combinatorial models, and mathematical physics.

The main fields of study include:

  • Mathematics
  • Physics and Astronomy

Within these fields, the following subfields are prominent in their work:

  • Geometry and Topology
  • Algebra and Number Theory
  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Mathematical Physics

The scientist's research topics focus on:

  • Nonlinear Waves and Solitons
  • Algebraic structures and combinatorial models
  • Advanced Combinatorial Mathematics
  • Advanced Topics in Algebra
  • Random Matrices and Applications
  • Advanced Algebra and Geometry
  • Markov Chains and Monte Carlo Methods

Among recent papers, the following publications are notable:

  • "Bilinear expansions of lattices of KP τ-functions in BKP τ-functions: A fermionic approach" (2021), Journal of Mathematical Physics
  • "Hamiltonian structure of rational isomonodromic deformation systems" (2023), Journal of Mathematical Physics
  • "Lagrangian Grassmannians, CKP Hierarchy and Hyperdeterminantal Relations" (2023), Communications in Mathematical Physics
  • "Tau functions, infinite Grassmannians, and lattice recurrences" (2023), Journal of Mathematical Physics
  • "Constellations and τ-functions for rationally weighted Hurwitz numbers" (2021), Annales de l'Institut Henri Poincaré D Combinatorics Physics and their Interactions

Frequent co-authors include:

  • Ferenc Balogh
  • A. Yu. Orlov
  • Jacques Hurtubise
  • Marco Bertola
  • S. Arthamonov

Among the venues where they have published multiple articles are:

  • Journal of Mathematical Physics
  • arXiv (Cornell University)
  • Communications in Mathematical Physics
  • Annales de l'Institut Henri Poincaré D Combinatorics Physics and their Interactions
  • Proceedings of the American Mathematical Society

John Harnad has also authored a book published by Cambridge University Press titled Tau Functions and their Applications (2021).

The scientist received the CAP-CRM Prize in Theoretical and Mathematical Physics from the Canadian Association of Physicists and Centre de Recherches Mathématiques in 2006.

Best Publications

  • The trouble with Physics: The rise of string theory, the fall of a Science, and what comes next

    John Harnad

  • Group actions on principal bundles and invariance conditions for gauge fields

    J. Harnad;S. Shnider;Luc Vinet

  • Darboux coordinates and Liouville-Arnold integration in loop algebras

    M. R. Adams;J. Harnad;J. Harnad;J. Hurtubise;J. Hurtubise

  • Dual isomonodromic deformations and moment maps to loop algebras

    J. Harnad;J. Harnad

  • Isospectral Hamiltonian Flows in Finite and Infinite Dimensions I. Generalized Moser Systems and Moment Maps into Loop Algebras

    M. R. Adams;J. Harnad;E. Previato

  • Duality, Biorthogonal Polynomials¶and Multi-Matrix Models

    M. Bertola;B. Eynard;J. Harnad

  • Constraints and field equations for ten-dimensional super Yang-Mills theory

    John P. Harnad;S. Shnider;S. Shnider

  • Isospectral Hamiltonian flows in finite and infinite dimensions. II. Integration of flows

    M. R. Adams;J. Harnad;J. Hurtubise

  • Superposition principles for matrix Riccati equations

    J. Harnad;P. Winternitz;R. L. Anderson

  • Group actions on principal bundles and dimensional reduction

    J. Harnad;J. Harnad;S. Shnider;S. Shnider;J. Tafel

  • Symmetry reduction for nonlinear relativistically invariant equations

    A. M. Grundland;J. Harnad;P. Winternitz

  • Dual moment maps into loop algebras

    M. R. Adams;J. Harnad;J. Harnad;J. Hurtubise

  • Systems of ordinary differential equations with nonlinear superposition principles

    R.L. Anderson;J. Harnad;P. Winternitz

  • Bäcklund transformations for nonlinear sigma models with values in Riemannian symmetric spaces

    J. Harnad;J. Harnad;Y. Saint-Aubin;S. Shnider;S. Shnider

  • Differential Systems for Biorthogonal Polynomials Appearing in 2-Matrix Models and the Associated Riemann–Hilbert Problem

    M. Bertola;M. Bertola;B. Eynard;J. Harnad;J. Harnad

  • Partition functions for matrix models and isomonodromic tau functions

    M Bertola;M Bertola;B Eynard;J Harnad;J Harnad

  • 2D Toda τ-Functions as Combinatorial Generating Functions

    Mathieu Guay-Paquet;J. Harnad;J. Harnad

  • Tensor fields invariant under subgroups of the conformal group of space‐time

    J. Beckers;J. Harnad;M. Perroud;P. Winternitz

  • Integrable Fredholm Operators and Dual Isomonodromic Deformations

    J. Harnad;Alexander R. Its

  • Modular solutions to equations of generalized Halphen type

    J. Harnad;J. McKay

  • Trouble with Physics

    J. Harnad

Frequent Co-Authors

Pavel Winternitz
Pavel Winternitz University of Montreal
Marco Bertola
Marco Bertola Concordia University
Bertrand Eynard
Bertrand Eynard University of Paris-Saclay
Luc Vinet
Luc Vinet University of Montreal
A. Alexandrov
A. Alexandrov Institute for Theoretical and Experimental Physics
Alexander Its
Alexander Its Indiana University – Purdue University Indianapolis
Willard Miller
Willard Miller University of Minnesota
Jiri Patera
Jiri Patera University of Montreal
Craig A. Tracy
Craig A. Tracy University of California, Davis
Harold Widom
Harold Widom University of California, Santa Cruz

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