World's Best Scientists 2026 revealed!
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Mathematics
UK
2026

D-Index & Metrics

Mathematics

D-Index
74
Citations
27129
World Ranking
213
National Ranking
12

Engineering and Technology

D-Index
69
Citations
22740
World Ranking
1107
National Ranking
71

Darryl D. Holm 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 Darryl D. Holm 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: 435 publications — 95th percentile

95% of scientists in this discipline score the same or lower.

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

Darryl D. Holm 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 Darryl D. Holm 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: 74 D-Index — 94th percentile

94% 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

  • 2026 - Research.com Mathematics in United Kingdom Leader Award
  • 2025 - Research.com Mathematics in United Kingdom Leader Award
  • 2022 - Research.com Mathematics in United Kingdom Leader Award

Overview

Darryl D. Holm is affiliated with Imperial College London in the United Kingdom. Their research primarily spans the fields of Earth and Planetary Sciences, Physics and Astronomy, and Engineering, with significant contributions in several subfields and specialized topics.

The main areas of their research include:

  • Fluid Dynamics and Turbulent Flows
  • Oceanographic and Atmospheric Processes
  • Ocean Waves and Remote Sensing
  • Nonlinear Waves and Solitons
  • Meteorological Phenomena and Simulations
  • Nonlinear Photonic Systems
  • Climate variability and models

The notable subfields where they have published extensively are:

  • Oceanography
  • Statistical and Nonlinear Physics
  • Computational Mechanics
  • Atmospheric Science
  • Global and Planetary Change

Their research output includes recent papers such as:

  • "Data Assimilation for a Quasi-Geostrophic Model with Circulation-Preserving Stochastic Transport Noise" (2020, Journal of Statistical Physics)
  • "A Particle Filter for Stochastic Advection by Lie Transport: A Case Study for the Damped and Forced Incompressible Two-Dimensional Euler Equation" (2020, SIAM/ASA Journal on Uncertainty Quantification)
  • "Variational principles for fluid dynamics on rough paths" (2022, Advances in Mathematics)
  • "Stochastic effects of waves on currents in the ocean mixed layer" (2021, Journal of Mathematical Physics)
  • "The bohmion method in nonadiabatic quantum hydrodynamics" (2021, Journal of Physics A Mathematical and Theoretical)

The frequent co-authors they collaborate with include:

  • Dan Crisan
  • Ruiao Hu
  • Oliver D. Street
  • Wei Pan
  • Colin J. Cotter

Their work has been published repeatedly in venues such as:

  • arXiv (Cornell University)
  • Nonlinearity
  • Physica D Nonlinear Phenomena
  • Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
  • ARROW@Dublin Institute of Technology (Dublin Institute of Technology)

In terms of book publications, they have contributed to titles published by Springer International Publishing and WORLD SCIENTIFIC (EUROPE) eBooks, including:

  • Stochastic Transport in Upper Ocean Dynamics (2022)
  • Stochastic Transport in Upper Ocean Dynamics II (2023)
  • Geometric Mechanics (2024)

Best Publications

  • An integrable shallow water equation with peaked solitons

    Roberto Camassa;Darryl D. Holm

  • Nonlinear stability of fluid and plasma equilibria

    Darryl D. Holm;Jerrold E. Marsden;Tudor S. Ratiu;Alan Weinstein

  • The Euler–Poincaré Equations and Semidirect Products with Applications to Continuum Theories

    Darryl D. Holm;Jerrold E. Marsden;Tudor S. Ratiu

  • A New Integrable Shallow Water Equation

    Roberto Camassa;Darryl D. Holm;James M. Hyman

  • A new integrable equation with peakon solutions

    A. Degasperis;A. Degasperis;Darryl D. Holm;Andrew N.W. Hone

  • The Navier–Stokes-alpha model of fluid turbulence

    Ciprian Foias;Darryl D. Holm;Edriss S. Titi

  • An integrable shallow water equation with linear and nonlinear dispersion.

    Holger R. Dullin;Georg A. Gottwald;Darryl D. Holm

  • The Three Dimensional Viscous Camassa–Holm Equations, and Their Relation to the Navier–Stokes Equations and Turbulence Theory

    Ciprian Foias;Ciprian Foias;Darryl D. Holm;Edriss S. Titi

  • Camassa-Holm Equations as a Closure Model for Turbulent Channel and Pipe Flow

    Shiyi Chen;Ciprian Foias;Ciprian Foias;Darryl D. Holm;Eric Olson;Eric Olson

  • EULER-POINCARE MODELS OF IDEAL FLUIDS WITH NONLINEAR DISPERSION

    Darryl D. Holm;Jerrold E. Marsden;Tudor S. Ratiu

  • Variational principles for stochastic fluid dynamics.

    Darryl D. Holm

  • Geometric Mechanics and Symmetry: From Finite to Infinite Dimensions

    Cristina Stoica;Tanya Schmah;Darryl D. Holm

  • On a Leray-α model of turbulence

    Alexey Cheskidov;Alexey Cheskidov;Darryl D. Holm;Darryl D. Holm;Eric Olson;Edriss S. Titi;Edriss S. Titi

  • Camassa–Holm, Korteweg–de Vries-5 and other asymptotically equivalent equations for shallow water waves

    Holger R Dullin;Georg A Gottwald;Darryl D Holm;Darryl D Holm

  • Wave Structure and Nonlinear Balances in a Family of Evolutionary PDEs

    Darryl D. Holm;Martin F. Staley

  • A connection between the Camassa–Holm equations and turbulent flows in channels and pipes

    S. Chen;C. Foias;D. D. Holm;E. Olson

  • Low-dimensional behaviour in the complex Ginzburg-Landau equation

    C R Doering;J D Gibbon;D D Holm;B Nicolaenko

  • Geometric Mechanics, Part Ii: Rotating, Translating And Rolling

    Darryl D Holm

  • The Camassa-Holm equations and turbulence

    S. Chen;C. Foias;C. Foias;D. D. Holm;E. Olson;E. Olson

  • On asymptotically equivalent shallow water wave equations

    H.R. Dullin;H.R. Dullin;G.A. Gottwald;D.D. Holm;D.D. Holm

Frequent Co-Authors

Tudor S. Ratiu
Tudor S. Ratiu École Polytechnique Fédérale de Lausanne
Jerrold E. Marsden
Jerrold E. Marsden California Institute of Technology
John D. Gibbon
John D. Gibbon Imperial College London
Bernardus J. Geurts
Bernardus J. Geurts University of Twente
Edriss S. Titi
Edriss S. Titi Texas A&M University
Dan Crisan
Dan Crisan Imperial College London
Carl M. Bender
Carl M. Bender Washington University in St. Louis
Annick Pouquet
Annick Pouquet National Center for Atmospheric Research
Wei Pan
Wei Pan University of Hong Kong
Shiyi Chen
Shiyi Chen Southern University of Science and Technology

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