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D-Index & Metrics

Mathematics

D-Index
57
Citations
26503
World Ranking
665
National Ranking
30

Cédric Villani 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 Cédric Villani 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: 82 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: 140 publications — 32nd percentile

32% of scientists in this discipline score the same or lower.

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

Cédric Villani 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 Cédric Villani 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: 137 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: 57 D-Index — 82nd percentile

82% 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

  • 2013 - Academie des sciences, France
  • 2012 - Member of Academia Europaea
  • 2010 - Fields Medal of International Mathematical Union (IMU) For his proofs of nonlinear Landau damping and convergence to equilibrium for the Boltzmann equation.

Overview

Cédric Villani is affiliated with the Institut des Hautes Études Scientifiques in France. Their work primarily spans the field of Mathematics, with specific focus on Statistical and Nonlinear Physics, Applied Mathematics, General Health Professions, Sociology and Political Science, and Modeling and Simulation.

The researcher has contributed to topics including Advanced Thermodynamics and Statistical Mechanics, Gas Dynamics and Kinetic Theory, Healthcare Systems and Practices, Education, sociology, and vocational training, Mathematical Biology Tumor Growth, and Numerical methods in inverse problems.

Recent academic papers authored or coauthored by Villani include:

  • "Maçons, si vous pouvez aider...", 2021, Humanisme
  • "La loi pluriannuelle de programmation de la recherche à l'Assemblée nationale, explications de vote", 2020, Humanisme
  • "Fisher Information in Kinetic Theory", 2025, arXiv (Cornell University)

Frequent coauthors in their research include Cyril Imbert, Luís Silvestre, Jean-Paul Lecoq, Michel Castellani, and Natalia Pouzyreff.

Villani's work has appeared regularly in publication venues such as Humanisme, arXiv (Cornell University), Inventiones mathematicae, and Revue d'économie financière.

Awards received include membership in the Academia Europaea in 2012, election to the Academie des sciences, France in 2013, and the Fields Medal awarded by the International Mathematical Union in 2010. The Fields Medal was granted for proofs related to nonlinear Landau damping and convergence to equilibrium for the Boltzmann equation.

Best Publications

  • Optimal Transport: Old and New

    Cédric Villani

  • Topics in Optimal Transportation

    Cédric Villani

  • Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality

    F. Otto;C. Villani

  • Ricci curvature for metric-measure spaces via optimal transport

    John Lott;Cedric Villani

  • Chapter 2 – A Review of Mathematical Topics in Collisional Kinetic Theory

    Cédric Villani

  • On Landau damping

    Clément Mouhot;Cédric Villani

  • On a New Class of Weak Solutions to the Spatially Homogeneous Boltzmann and Landau Equations

    Cédric Villani

  • On the trend to global equilibrium for spatially inhomogeneous kinetic systems: The Boltzmann equation

    L. Desvillettes;C. Villani

  • Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates

    José A. Carrillo;Robert J. McCann;Cédric Villani

  • Contractions in the 2-Wasserstein Length Space and Thermalization of Granular Media

    José A. Carrillo;Robert J. McCann;Cédric Villani

  • On the trend to global equilibrium in spatially inhomogeneous entropy‐dissipating systems: The linear Fokker‐Planck equation

    Laurent Desvillettes;Cédric Villani

  • A MASS-TRANSPORTATION APPROACH TO SHARP SOBOLEV AND GAGLIARDO-NIRENBERG INEQUALITIES

    D. Cordero-Erausquin;B. Nazaret;C. Villani

  • Entropy Dissipation and Long-Range Interactions

    R. Alexandre;L. Desvillettes;C. Villani;Bernt Wennberg

  • On the spatially homogeneous landau equation for hard potentials part i : existence, uniqueness and smoothness

    Laurent Desvillettes;Cédric Villani

  • Quantitative Concentration Inequalities for Empirical Measures on Non-compact Spaces

    François Bolley;Arnaud Guillin;Cédric Villani

  • On the Boltzmann equation for long-range interactions

    R. Alexandre;C. Villani

  • Cercignani's Conjecture is Sometimes True and Always Almost True

    Cédric Villani

  • Weighted Csiszár-Kullback-Pinsker inequalities and applications to transportation inequalities

    François Bolley;Cédric Villani

  • On the spatially homogeneous landau equation for hard potentials part ii : h-theorem and applications

    Laurent Desvillettes;Cédric Villani

  • ON THE SPATIALLY HOMOGENEOUS LANDAU EQUATION FOR MAXWELLIAN MOLECULES

    C. Villani

  • Gradient flows I

    Cédric Villani

Frequent Co-Authors

Laurent Desvillettes
Laurent Desvillettes Université Paris Cité
Clément Mouhot
Clément Mouhot University of Cambridge
Giuseppe Toscani
Giuseppe Toscani University of Pavia
John Lott
John Lott University of California, Berkeley
José A. Carrillo
José A. Carrillo University of Oxford
Felix Otto
Felix Otto Max Planck Institute for Mathematics in the Sciences
Eric A. Carlen
Eric A. Carlen Rutgers, The State University of New Jersey
Irene M. Gamba
Irene M. Gamba The University of Texas at Austin
Lorenzo Pareschi
Lorenzo Pareschi Heriot-Watt University

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