Jabarkan Penghargaan dari Cédric Villani

1998: PhD Thesis (pebimbing P.-L. Lions)

2001: Hadiah Louis Armand Academy of Sciences

2003: Hadiah Peccot-Vimont dan Cours Peccot of the Coll`ege de France

2003: Dosen pleno pada Kongres Fisika Matematis Internasional (Lisbonne)

2006: Institut Universitaire de France

2006: Dosen undangan pada Kongres Matematikawan Internasional (Madrid)

2007: Hadiah Jacques Herbrand (French Academy of Sciences)

2008: Hadiah European Mathematical Society

2013: Dosen Gibbs: On Disorder, Mixing and Equilibration

2014: Hadiah Joseph L. Doob oleh American Mathematical Society untuk bukunya Optimal Transport: Old and New (Springer Verlag 2009)

Limites hydrodynamiques de l'équation de Boltzmann , Séminaire Bourbaki, June 2001; Astérisque vol. 282, 2002.

A Review of Mathematical Topics in Collisional Kinetic Theory, in Handbook of Mathematical Fluid Dynamics, edited by S. Friedlander and D. Serre, vol. 1, Elsevier, 2002, ISBN 978-0-444-50330-5. .

Topics in Optimal Transportation, volume 58 of Graduate studies in mathematics, American Mathematical Society, 2003, ISBN 978-0-8218-3312-4.

Optimal transportation, dissipative PDE's and functional inequalities, pp. 53–89 in Optimal Transportation and Applications, edited by L. A. Caffarelli and S. Salsa, volume 1813 of Lecture Notes in Mathematics, Springer, 2003, ISBN 978-3-540-40192-6.

Cercignani's conjecture is sometimes true and always almost true, Communications in Mathematical Physics, vol. 234, No. 3 (March 2003), pp. 455–490, .

On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation (with Laurent Desvillettes), Inventiones Mathematicae, vol. 159, #2 (2005), pp. 245–316, .

Mathematics of Granular Materials, Journal of Statistical Physics, vol. 124, #2–4 (July/August 2006), pp. 781–822, .

Optimal transport, old and new, volume 338 of Grundlehren der mathematischen Wissenschaften, Springer, 2009, ISBN 978-3-540-71049-3.

Ricci curvature for metric-measure spaces via optimal transport (with John Lott), Annals of Mathematics vol. 169, No. 3 (2009), pp. 903–991.

Hypocoercivity, volume 202, #950 of Memoirs of the American Mathematical Society, 2009, ISBN 978-0-8218-4498-4.

Théorème vivant, Bernard Grasset, Paris 2012

De mémoire vive, Une histoire de l'aventure numérique, Philippe Dewost, Cédric Villani, Éditions Première Partie, 2022, .