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D-Index & Metrics

Mathematics

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

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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