Prizes

  • 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 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

  • 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