Books

1. An Invitation to Optimal Transport, Wasserstein Distances, and Gradient Flows, (with F. Glaudo), EMS Textbooks in Mathematics. European Mathematical Society (EMS), Zürich, 2021. 144 pp.
2. The Monge-Ampère Equation and Its Applications, Zurich Lectures in Advanced Mathematics. European Mathematical Society (EMS), Zürich, 2017. x+200
3. Autour des inégalités isopérimétriques. (French) [On isoperimetric inequalities] (with W. Bench, C. de Franchis, L. Deproit, S. Gilles, B. Oh, A. Tenne, and K. Webster), Edited and with a preface by Figalli. Éditions de l'École Polytechnique, Palaiseau, 2011. 124 pp.
4. Optimal transportation and action-minimizing measures, Thesis, Scuola Normale Superiore, Pisa, 2007. Tesi. Scuola Normale Superiore di Pisa (Nuova Series) [Theses of Scuola Normale Superiore di Pisa (New Series)], 8. Edizioni della Normale, Pisa, 2008. xx+254 pp.