World's Best Scientists 2026 revealed!
Vladimir I. Arnold

Vladimir I. Arnold

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Mathematics
Russia
2022

D-Index & Metrics

Mathematics

D-Index
65
Citations
59167
World Ranking
372
National Ranking
2

Vladimir I. Arnold 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 Vladimir I. Arnold 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: 376 publications — 93rd percentile

93% of scientists in this discipline score the same or lower.

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

Vladimir I. Arnold 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 Vladimir I. Arnold 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: 65 D-Index — 90th percentile

90% 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

  • 2022 - Research.com Mathematics in Russia Leader Award
  • 2001 - Dannie Heineman Prize for Mathematical Physics, American Physical Society and American Institute of Physics
  • 2001 - Wolf Prize in Mathematics for his deep and influential work in a multitude of areas of mathematics, including dynamical systems, differential equations, and singularity theory.
  • 1983 - Member of the National Academy of Sciences

Overview

Vladimir I. Arnold was affiliated with the Russian Academy of Sciences in the Russian Federation. Their research contributions spanned various domains, with a significant focus on biochemistry, genetics, molecular biology, and materials science.

The main topics covered in their studies included:

  • Advanced Electron Microscopy Techniques and Applications
  • Enzyme Structure and Function
  • Crystallography and Radiation Phenomena
  • X-ray Diffraction in Crystallography
  • Protein Structure and Dynamics
  • Advanced X-ray Imaging Techniques
  • Computational Drug Discovery Methods

The scientist's work was frequently published in notable venues such as:

  • bioRxiv (Cold Spring Harbor Laboratory)
  • Mathematical Biology and Bioinformatics
  • Acta Crystallographica Section D Structural Biology
  • Acta Crystallographica Section A Foundations and Advances
  • arXiv (Cornell University)

Among their recent papers were:

  • "Analytic modeling of inhomogeneous-resolution maps in cryo-electron microscopy and crystallography," 2022, IUCrJ
  • "Direct calculation of cryo-EM and crystallographic model maps for real-space refinement," 2022, Acta Crystallographica Section D Structural Biology
  • "Toward Real Real-Space Refinement of Atomic Models," 2022, International Journal of Molecular Sciences
  • "Local heterogeneity analysis of crystallographic and cryo-EM maps using shell-approximation," 2023, Current Research in Structural Biology
  • "Algorithms and programs for the shell decomposition of oscillating functions in space," 2022, Journal of Applied Crystallography

Their research network included frequent collaboration with the following coauthors:

  • Alexandre Urzhumtsev
  • Natalia L. Lunina
  • Ludmila Urzhumtseva
  • T. Petrova
  • T.E. Petrova

Vladimir I. Arnold's work addressed subfields such as:

  • Materials Chemistry
  • Structural Biology
  • Molecular Biology
  • Condensed Matter Physics
  • Radiation

Their academic recognition included several awards:

  • Dannie Heineman Prize for Mathematical Physics, American Physical Society and American Institute of Physics, 2001
  • Wolf Prize in Mathematics, 2001, for contributions to dynamical systems, differential equations, and singularity theory
  • Member of the National Academy of Sciences, 1983

Best Publications

  • Mathematical Methods of Classical Mechanics

    Vladimir Igorevič Arnol'd

  • Geometrical Methods in the Theory of Ordinary Differential Equations

    Vladimir Igorevich Arnold

  • Singularities of Differentiable Maps, Volume 2: Monodromy and Asymptotics of Integrals

    S.M. Gusein-Zade;A.N. Varchenko;Alexander N. Varchenko;V.I. Arnold

  • Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits

    Vladimir Arnold

  • Singularities of Differentiable Maps

    V. I. Arnold;S. M. Gusein-Zade;A. N. Varchenko

  • Topological methods in hydrodynamics

    Vladimir I. Arnold;Boris A. Khesin

  • SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS

    Vladimir I Arnol'd

  • PROOF OF A THEOREM OF A.?N.?KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN

    V I Arnol'd

  • Ordinary Differential Equations

    Fred Brauer;Vladimir I. Arnol'd;Roger Cook

  • Mathematical aspects of classical and celestial mechanics

    V. I. Arnold;V. V. Kozlov;A. I. Neishtadt

  • Dynamical Systems III

    Vladimir I. Arnold

  • ON MATRICES DEPENDING ON PARAMETERS

    Vladimir I. Arnold

  • Singularities of Caustics and Wave Fronts

    Vladimir Arnold

  • Wave front evolution and equivariant Morse lemma

    V. I. Arnol'D

  • CRITICAL POINTS OF SMOOTH FUNCTIONS AND THEIR NORMAL FORMS

    Vladimir I Arnol'd

  • Ordinary differential equations and smooth dynamical systems

    D. V. Anosov;S. Kh. Aranson;V. I. Arnold;I. U. Bronshtein

  • The cohomology ring of the colored braid group

    Vladimir I. Arnold

  • Arnold's Problems

    Vladimir I. Arnold

  • Dynamical Systems III: Mathematical Aspects of Classical and Celestial Mechanics

    V. I. Arnold;V. V. Kozlov;A. I. Neishtadt

  • Dynamical Systems V: Bifurcation Theory and Catastrophe Theory

    V. I. Arnol'd

  • Real Algebraic Geometry

    Vladimir I Arnold;Ilia Itenberg;Viatcheslav Kharlamov;Eugenii I Shustin

Frequent Co-Authors

Alexander Varchenko
Alexander Varchenko University of North Carolina at Chapel Hill
S. P. Novikov
S. P. Novikov Russian Academy of Sciences
Jerrold E. Marsden
Jerrold E. Marsden California Institute of Technology
Yakov G. Sinai
Yakov G. Sinai Princeton University
Michael Atiyah
Michael Atiyah University of Edinburgh
Gennady A. Leonov
Gennady A. Leonov Saint Petersburg State University
Yuri I. Manin
Yuri I. Manin Max Planck Institute for Mathematics
Barry Mazur
Barry Mazur Harvard University
Albert N. Shiryaev
Albert N. Shiryaev Steklov Mathematical Institute
Fred Brauer
Fred Brauer University of British Columbia

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