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Mathematics
Switzerland
2026

D-Index & Metrics

Mathematics

D-Index
59
Citations
25035
World Ranking
575
National Ranking
9

Tudor S. Ratiu 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 Tudor S. Ratiu 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: 342 publications — 90th percentile

90% of scientists in this discipline score the same or lower.

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

Tudor S. Ratiu 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 Tudor S. Ratiu 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: 59 D-Index — 84th percentile

84% 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 Switzerland Leader Award
  • 2025 - Research.com Mathematics in Switzerland Leader Award
  • 2019 - Member of Academia Europaea
  • 2013 - Fellow of the American Mathematical Society
  • 1983 - Fellow of Alfred P. Sloan Foundation

Overview

Tudor S. Ratiu is affiliated with the École Polytechnique Fédérale de Lausanne in Switzerland. Their research spans multiple aspects of mathematics and physics, with a focus on mathematical physics, geometry and topology, and statistical and nonlinear physics. The scientist has contributed extensively to advanced algebra and geometry, quantum chaos and dynamical systems, homotopy and cohomology in algebraic topology, as well as advanced differential equations, nonlinear waves, solitons, and other advanced mathematical theories.

Recent publications include:

  • Stochastic Variational Principles for Dissipative Equations with Advected Quantities, 2022, Journal of Nonlinear Science
  • Simultaneous local normal forms of dynamical systems with singular underlying geometric structures, 2024, Nonlinearity
  • On the Eringen model for nematic liquid crystals, 2021, Comptes Rendus Mécanique
  • Geodesic flows on real forms of complex semi-simple Lie groups of rigid body type, 2020, Research in the Mathematical Sciences
  • Convexity of Singular Affine Structures and Toric-Focus Integrable Hamiltonian Systems, 2023, Memoirs of the American Mathematical Society

Frequent co-authors include:

  • John Gough
  • O. G. Smolyanov
  • Tobias Diez
  • Nguyen Tien Zung
  • François Gay-Balmaz

Most of Tudor S. Ratiu's work has been published in venues such as arXiv (Cornell University), Proceedings of the Steklov Institute of Mathematics, Труды Математического института им Стеклова, Journal of Nonlinear Science, and Nonlinearity. The scientist's strong publication presence in these journals reflects a broad engagement with both theoretical and applied mathematics.

The scientific fields they focus on are primarily:

  • Mathematics
  • Physics and Astronomy

Within these fields, subfields of study include:

  • Mathematical Physics
  • Geometry and Topology
  • Statistical and Nonlinear Physics
  • Applied Mathematics
  • Artificial Intelligence

Tudor S. Ratiu's work covers the following main topics:

  • Advanced Algebra and Geometry
  • Quantum chaos and dynamical systems
  • Homotopy and Cohomology in Algebraic Topology
  • Advanced Differential Equations and Dynamical Systems
  • Nonlinear Waves and Solitons
  • Advanced mathematical theories
  • Geometric and Algebraic Topology

In recognition of contributions to the field, Tudor S. Ratiu has been named a Fellow of the Alfred P. Sloan Foundation in 1983, a Fellow of the American Mathematical Society in 2013, and became a Member of Academia Europaea in 2019.

Best Publications

  • Introduction to Mechanics and Symmetry: A Basic Exposition of Classical Mechanical Systems

    Jerrold E. Marsden;Tudor S. Ratiu

  • Manifolds, tensor analysis, and applications

    R. Abraham;J. E. Marsden;T. Ratiu;Cecile DeWitt‐Morette

  • Introduction to mechanics and symmetry

    Jerrold E. Marsden;Tudor S. Ratiu

  • 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

  • Momentum Maps and Hamiltonian Reduction

    Juan-Pablo Ortega;Tudor S. Ratiu

  • Semidirect products and reduction in mechanics

    Jerrold E. Marsden;Tudor S. Ratiu;Alan Weinstein

  • Reduction of Poisson manifolds

    Jerrold E. Marsden;Tudor S. Ratiu

  • Reduction, symmetry, and phases in mechanics

    Jerrold E. Marsden;Richard Montgomery;Tudor S. Ratiu

  • EULER-POINCARE MODELS OF IDEAL FLUIDS WITH NONLINEAR DISPERSION

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

  • Hamiltonian Reduction by Stages

    Jerrold E. Marsden;Gerard Misiolek;Juan-Pablo Ortega;Matthew Perlmutter

  • Lagrangian Reduction by Stages

    Hernán Cendra;Jerrold E. Marsden;Tudor S. Ratiu

  • The Euler-Poincaré equations and double bracket dissipation

    Anthony M. Bloch;P. S. Krishnaprasad;Jerrold E. Marsden;Tudor S. Ratiu

  • Foundations of Mechanics: 2nd Edition

    Jerrold E. Marsden;Tudor Ratiu;Ralph Abraham

  • Richardson number criterion for the nonlinear stability of three-dimensional stratified flow

    Henry D. I. Abarbanel;Darryl D. Holm;Jerrold E. Marsden;Tudor S. Ratiu

  • Dissipation Induced Instabilities

    Anthony M. Bloch;Perinkulam S. Krishnaprasad;Jerrold E. Marsden;Tudor S. Ratiu

  • The Hamiltonian structure for dynamic free boundary problems

    D Lewis;J Marsden;R Montgomery;T Ratiu

  • Nonlinear Stability Analysis of Stratified Fluid Equilibria

    Henry D. I. Abarbanel;Darryl D. Holm;Jerrold E. Marsden;Tudor S. Ratiu

  • The motion of the free $n$-dimensional rigid body

    Tudor S. Ratiu

  • Geometric mechanics, Lagrangian reduction, and nonholonomic systems

    Hernán Cendra;Jerrold E. Marsden;Tudor S. Ratiu

  • The Breadth of Symplectic and Poisson Geometry

    Jerrold E. Marsden;Tudor S. Ratiu

Frequent Co-Authors

Jerrold E. Marsden
Jerrold E. Marsden California Institute of Technology
Darryl D. Holm
Darryl D. Holm Imperial College London
Anthony M. Bloch
Anthony M. Bloch University of Michigan–Ann Arbor
Steve Shkoller
Steve Shkoller University of California, Davis
Alan Weinstein
Alan Weinstein University of California, Berkeley
Perinkulam S. Krishnaprasad
Perinkulam S. Krishnaprasad University of Maryland, College Park
Roger W. Brockett
Roger W. Brockett Harvard University
Peter W. Michor
Peter W. Michor University of Vienna
Yakov Eliashberg
Yakov Eliashberg Stanford University
Richard Montgomery
Richard Montgomery University of Warwick

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