World's Best Scientists 2026 revealed!
Richard Cushman

Richard Cushman

D-Index & Metrics

Mathematics

D-Index
30
Citations
3741
World Ranking
3527
National Ranking
144

Richard Cushman 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 Richard Cushman 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: 127 publications — 24th percentile

24% of scientists in this discipline score the same or lower.

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

Richard Cushman 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 Richard Cushman 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: 30 D-Index — 5th percentile

5% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Richard Cushman is affiliated with the University of Calgary in Canada and has contributed extensively to the fields of mathematics and physics. Their research spans various specialized areas, particularly within mathematical physics and geometry. Cushman's work encompasses topics such as advanced algebra and geometry, homotopy and cohomology in algebraic topology, and advanced differential geometry research.

The scientist has published in numerous venues with a focus on both preprint servers and peer-reviewed journals. Frequent publication venues include arXiv (Cornell University) with 16 publications, Axioms with 5 publications, Qualitative Theory of Dynamical Systems with 3 publications, Symmetry with 2 publications, and Preprints.org with 2 publications.

Cushman's research interests break down further into subfields such as mathematical physics, geometry and topology, statistical and nonlinear physics, applied mathematics, and astronomy and astrophysics.

Notable recent papers authored or co-authored by Richard Cushman include:

  • Vector Fields and Differential Forms on the Orbit Space of a Proper Action (2021, Axioms)
  • Classical and Quantum Spherical Pendulum (2022, Symmetry)
  • Aronszajn and Sikorski Subcartesian Differential Spaces (2021, Bulletin of the Polish Academy of Sciences Mathematics)
  • Intrinsic Geometric Structure of Subcartesian Spaces (2023, Axioms)
  • Shifting Operators in Geometric Quantization (2020, MDPI)

The scientist has collaborated frequently with several co-authors, prominently including Jędrzej Śniatycki with 13 joint publications, Larry Bates with 5, and Jedrzej Snaitycki with 1.

Richard Cushman's areas of work cover multiple advanced topics:

  • Homotopy and Cohomology in Algebraic Topology
  • Advanced Algebra and Geometry
  • Advanced Differential Geometry Research
  • Quantum Chaos and Dynamical Systems
  • Geometric Analysis and Curvature Flows
  • Advanced Differential Equations and Dynamical Systems
  • Advanced Topics in Algebra

Their research integrates mathematical rigor with applications in physics, reflecting a multidisciplinary approach that spans pure and applied mathematics as well as theoretical physics. The combination of frequent publications and collaborations indicates active engagement in the academic community focused on these core scientific domains.

Best Publications

  • Global Aspects of Classical Integrable Systems

    Richard H. Cushman;Larry M. Bates

  • A Universal Reduction Procedure for Hamiltonian Group Actions

    Judith M. Arms;Richard H. Cushman;Mark J. Gotay

  • The quantum mechanical spherical pendulum

    R. Cushman;J. J. Duistermaat

  • Monodromy in the hydrogen atom in crossed fields

    R. H. Cushman;D. A. Sadovskií

  • Conjugacy classes in linear groups

    N Burgoyne;R Cushman

  • Normal forms for real linear Hamiltonian systems with purely imaginary eigenvalues

    N. Burgoyne;R. Cushman

  • Reduction of the semisimple 1:1 resonance

    Richard Cushman;David L. Rod

  • CO-2 molecule as a quantum realization of the 1:1:2 resonant swing-spring with monodromy

    R.H. Cushman;H.R. Dullin;A. Giacobbe;D.D. Holm

  • What is a completely integrable nonholonomic dynamical system

    Larry Bates;Richard Cushman

  • Geometry of nonholonomic constraints

    R. Cushman;D. Kemppainen;J. Śniatycki;L. Bates

  • The twisting tennis racket

    Mark S. Ashbaugh;Carmen C. Chicone;Richard H. Cushman

  • Reduction, Brouwer's Hamiltonian, and the critical inclination

    Richard Cushman

  • Geometry of the energy momentum mapping of the spherical pendulum

    R. Cushman

  • Differential Structure of Orbit Spaces

    Richard Cushman;Jędrzej Śniatycki

  • Non-Hamiltonian Monodromy

    R. Cushman;J.J. Duistermaat

  • Monodromy in perturbed Kepler systems: Hydrogen atom in crossed fields

    R. H. Cushman;D. A. Sadovskií

  • A Survey of Normalization Techniques Applied to Perturbed Keplerian Systems

    Richard H. Cushman

  • Geometry of Nonholonomically Constrained Systems

    Richard H. Cushman;Hans Duistermaat;Jędrzej Śniatycki

  • Zeeman's Monotonicity Conjecture

    F. Beukers;R. Cushman

  • The energy momentum mapping of the lagrange top

    R. Cushman;H. Knörrer

Frequent Co-Authors

Hendrik Broer
Hendrik Broer University of Groningen
Darryl D. Holm
Darryl D. Holm Imperial College London
Floris Takens
Floris Takens University of Groningen
Louis J. Billera
Louis J. Billera Cornell University
Thomas J. Bridges
Thomas J. Bridges University of Surrey

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