- 2018 Fields Medal
Intro
Alessio Figalli is an Italian mathematician working primarily on calculus of variations and partial differential equations. He was awarded the Fields Medal in 2018 for his contributions to the theory of optimal transport, and its application to partial differential equations, metric geometry, and probability.
Education and Work Experience
2004, Bachelor degree in Mathematics, University of Pisa
2007, Ph.D. in Mathematics, Scuola Normale Superiore of Pisa
2009-2016, Associate Professor to Full Professor, UT-Austin
2016-Present, Full Professor and Chair, ETH Zürich
Honors and Awards
2012, European Mathematical Society (EMS) Prize
2018, Fields Medal
2019, Member of Academia Europaea
Major Academic Achievements
Prof. Alessio Figalli works in the broad areas of Calculus of Variations and Partial Differential Equations, with particular emphasis on optimal transportation, Monge- Ampère equations, functional and geometric inequalities, elliptic PDEs of local and non- local type, free boundary problems, Hamilton-Jacobi equations, transport equations with rough vector-fields, and random matrix theory.