World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

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

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

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students studying Mathematics in the USA, exploring related online degrees can open diverse career opportunities. Many graduates leverage their analytical skills by pursuing an online marketing degree, which combines data-driven decision-making with strategic communication. This path offers a practical way to apply quantitative expertise in business contexts.

Additionally, professionals often enhance their credentials with an advanced business degree. Options like 1 year MBA programs provide accelerated learning for those aiming to quickly climb the career ladder without compromising work experience. The flexibility of these programs appeals to many working mathematicians.

Transferring credits can be a crucial consideration for MBA candidates. Resources outlining can you transfer mba programs help students navigate credit transfers smoothly, enabling them to customize their educational journey while saving time and money.

For those interested in technical and data-focused roles, a masters in data analytics is a natural extension. This degree sharpens skills in statistical analysis and machine learning, complementing a math background and enhancing career prospects in industries like tech, finance, and healthcare.

Best Scientists Citing Cédric Villani

Trending Scientists

Recently Published Articles