Prizes
- Golden Owl (ETH award for exceptional teaching), 2024
- UIMP Medal, 2024
- Frontiers of Science Awards, 2023
- Falling Walls Award in Engineering and Technology, 2020
- Girolamo Cardano International Prize, 2020
- Prize I numeri UNO of "The Italian Chamber of Commerce for Switzerland ", 2019
- Gili Agostinelli Prize of the "Accademia delle Scienze di Torino", 2019
- Fields Medal, 2018
- Feltrinelli Prize of the "Accademia Nazionale dei Lincei", 2017
- O'Donnell Award in Science of "The Academy for Medicine, Engineering, & Science of Texas (TAMEST)", 2016
- Stampacchia Gold Medal, 2015
- European Mathematical Society (EMS) Prize, 2012
- Peccot-Vimont Prize and Cours Peccot of the "Collège de France", 2011 – 2012
- Gioacchino Iapichino Prize of the "Accademia Nazionale dei Lincei", 2010
- Anile Prize of the "Associazione Angelo Marcello Anile" and the "Consorzio Catania Ricerche", 2010
- Carlo Miranda Prize of the "Accademia di Scienze Fisiche e Matematiche di Napoli", 2008
- Giuseppe Borgia Prize of the "Accademia Nazionale dei Lincei", 2008
- Benedetto Sciarra Prize of the "Scuola Normale Superiore of Pisa", 2006 – 2007
Honors
- Asteroid 438523 Figalli (2007 SC12), 2022 – present
- Knight of the Order of Merit of the Italian Republic, 2018 – present
- Harrington Faculty Fellowship, 2009 – 2010
Doctorates Honoris Causa
- University of Sussex, 2022
- Universitat Politècnica de Catalunya, 2019
- Université Côte d'Azur, 2018
Membership to Academies
- Corresponding Member of the Accademia dei Lincei, 2023 – present
- Corresponding Member of the Accademia delle Scienze di Torino, 2022 – present
- Foreign Member of the Accademia Nazionale delle Scienze detta dei XL, 2022 – present
- Foreign Member of the Istituto Lombardo - Accademia di Scienze e Lettere, 2021 – present
- Honorary Member of Real Sociedad Matemática Española (RSME), 2021 – present
- Member of Academia Europaea, 2019 – present
- Foreign Member of the Academy of Sciences of Bologna, 2019 – present
- Foreign Member of the Royal Spanish Academy of Sciences, 2018 – present
- Fellow and Honorary Member of the European Academy of Sciences, 2017 – present
Grants
- SNF Sinergia Grant, "From single disease reductionist research to informed Machine Learning: a new research paradigm for multimorbidity", 2024 – 2028
- ERC Grant, "Regularity and Stability in Partial Differential Equations (RSPDE)", 2017 – 2023
- NSF Grant DMS-1361122, "FRG: Collaborative Research: Vectorial and geometric problems in the calculus of variations", 2014 – 2017
- NSF Grant DMS-1262411, "Regularity and stability results in variational problems", 2013 – 2018
- NSF Grant DMS-0969962, "Analytical and geometrical problems in calculus of variations and partial differential equations", 2010 – 2013