Personal information
General
 Citizenship: Italian citizen, permanent resident of the Swiss Federation (C permit)
 Languages: Italian (mother tongue), English (proficient), German (proficient), French (intermediate)
 Memberships: American Mathematical Society, European Mathematical Society, Unione Matematica Italiana.
Education

Sep. 2010  May 2014 Ph. D. student at Stanford University (Department of Mathematics).
 Ph.D. in Mathematics obtained on 9th May 2014
 Advisor: Prof. Richard Schoen
 Thesis title: Rigidity and flexibility phenomena in General Relativity
 Ph.D. in Mathematics obtained on 9th May 2014

Sep. 2005  Jul. 2010 undergraduate student at Scuola Normale Superiore and Università di Pisa.
 Diploma di Licenza obtained on 20th December 2010, evaluation 70/70 cum laude
 Laurea Specialistica in Matematica obtained on 16th July 2010, evaluation 110/110 cum laude
 Advisor: Prof. Andrea Malchiodi
 Thesis title: A class of existence results for the singular Liouville equation
 Laurea in Matematica obtained on 25th September 2008, evaluation 110/110 cum laude
 Advisor: Prof. Luigi Ambrosio
 Thesis title: A mass transportation approach to some functional inequalities
Fellowships, Prizes and Awards
 2020 ERC laureate as Principal Investigator for the project CHANGE (CHallenges in ANalysis and GEometry, between mean and scalar curvature). Funding $\approx 1.6$ million USD.
 2018 Riccardo De Arcangelis prize in Mathematical Analysis, awarded by Società Nazionale di Scienze, Lettere ed Arti.
 2016 Nov Semináire Bourbaki entitled Antigravité à la Carlotto et Schoen.
 2015 Aug Leibniz Fellowship, Mathematisches Forschungsinstitut Oberwolfach.
 20152018 Junior Fellowship of the ETHInstitute for Theoretical Studies based on international selection ($\approx$ 200 candidates).
 2014 Jul Leibniz Fellowship, Mathematisches Forschungsinstitut Oberwolfach.
 2011 Franco Tricerri prize in Differential Geometry, awarded by Unione Matematica Italiana on the occasion of its XIX plenary congress.
 20102015 PhD position at Stanford University with full funding, based on international selection ($\approx$ 300 candidates).
 20102014 PhD position at Princeton University with full funding and fellowship, based on international selection ($\approx$ 300 candidates), declined.
 20052010 Full fellowship at Scuola Normale Superiore di Pisa, based on international exams (ranking: 1st among $\approx$ 500 candidates).
Long visiting experiences
 2019 Sep  2019 Dec Member of the Institut MittagLeffler, for the program General relativity, Geometry and Analysis: beyond the first 100 years after Einstein
(on invitation by Prof. L. Andersson, M. Dahl, P. LeFloch, R. Schoen).  2018 Sep  2019 Aug Member of the Institute for Advanced Study (IAS  Princeton), for the program Variational Methods in Geometry
(on invitation by Prof. F. Marques).  2018 Jan  2018 May Visiting professor at Scuola Normale Superiore
(on invitation by Prof. A. Malchiodi).  2017 Jul  2017 Sep Member of the Erwin Schrödinger International Institute for Mathematics and Physics for the program Geometry and Relativity
(on invitation by Prof. R. Beig, P. Chrusciel, M. Eichmair, G. Galloway, R. Schoen).  2016 Mar Visiting scholar at Harvard University
(on invitation by Prof. S.T. Yau).  2013 Sep  2013 Dec Member of the Mathematical Sciences Research Institute (Berkeley) for the program Mathematical General Relativity
(on invitation by Prof. Y. ChoquetBruhat, P. Chrusciel, G. Galloway, G. Huisken, J. Isenberg. S, Klainerman, I. Rodnianski, R. Schoen).  2012 Jun Visiting scientist at the International Center for Theoretical Physics
(on invitation by Prof. C. Arezzo).  2011 Sep Visiting researcher at S.I.S.S.A.
(on invitation by Prof. A. Malchiodi).
Professional Service

Organization of conferences and seminars
 2022 Jun, Simons Center for Geometry and Physics
Organizer of the workshop Recent Advances on Scalar Curvature Problems.  2021 Jul, International Alpine School of Mathematics and Physics
Scientific board member for the school Gauge theory and the Langlands program
(Lecturers: Olivia Caramello, Laurent Lafforgue, Rafe Mazzeo, Philsang Yoo).  20192020, ETH Zürich
Organizer of the ETH Analysis Seminar.  2019 Jul, International Alpine School of Mathematics and Physics
Scientific board member for the school Einstein equations: physical and mathematical aspects of general relativity
(Lecturers: Lars Andersson, Donato Bini, Marco Giammarchi, Pengzi Miao, Alexey Starobinski).  20182019, Institute for Advanced Study
Organizer of the Variational Methods in Geometry Seminar.  20172018, ETH Zürich
Organizer of the ETH Analysis Seminar.  20162017, ETH Zürich
Organizer of the ETH Analysis Seminar.  2016 Jul, 11th AIMS Conference
Member of the Global Organizing Comittee.  20152016, ETH Zürich
Organizer of the ITS Fellows' Seminar.  20142015, Imperial College
Organizer of the Geometry and Analysis Seminar.  20132014, Stanford University
Organizer of the Stanford Student Analysis and Geometry Seminar.  20112012, Stanford University
Organizer of the Faculty Area Research Seminar.
 2022 Jun, Simons Center for Geometry and Physics

Editorial activity
 Member of the editorial board of Nonlinear Analysis (Elsevier).

Review activities
 Referee for several mathematical journals, including: Inventiones Mathematicae, Communications on Pure and Applied Mathematics, American Journal of Mathematics, Journal of Differential Geometry, Duke Mathematical Journal, Communications in Mathematical Physics, GAFA, Advances in Mathematics, Journal of Functional Analysis, Proceedings of the American Mathematical Society, Journal für die reine und angewandte Mathematik (Crelle), Calculus of Variations and PDE, Journal de Mathématiques Pures et Appliqueés, Classical and Quantum Gravity, Communications in Analysis and Geometry, Journal of the London mathematical soeciety, Revista Matemática Iberoamericana, Rendiconti del seminario matematico della Università di Padova.
 Referee for Springer (various series), Birkhäuser (various series) and American Mathematical Society (Graduate Studies in Mathematics).

Advising/mentoring

Postdoc mentoring
David Wiygul [actual] 
PhD theses
Giada Franz [actual]
Pengyu Le (joint with Demetrios Christodoulou) [now Assistant Professor at University of Michigan] 
Master theses
Alessandra Tullini [actual]
Simone Rodoni [actual]
Santiago Cordero Misteli [now PhD student at SUNY Simons Center]
Federico Trinca [now PhD student at University of Oxford] 
In addition to the items above, I have supervised a number of Bachelor theses, semester projects and reading activities, both for Math and Physics students.


Graduate school scientific duties
 2016  , ETH Zürich
Committee member for the admission to the Zurich Graduate School in Mathematics (joint PhD program of ETH and the University of Zürich).  2020 Feb, Università di Trento
Jury president for the Ph.D. thesis of Mattia Fogagnolo (advisor: Prof. Lorenzo Mazzieri).  2019 Sep, ETH Zürich
Jury member for the Ph.D. thesis of Alexis Michelat (advisor: Prof. Tristan Rivière).  2019 Apr, ETH Zürich
Coreferent for the Ph.D. thesis of Mario Schulz (advisor: Prof. Michael Struwe).  2016 Nov, Universität Zürich
Jury member for the Ph.D. thesis of Jusuf Ramic (advisor: Prof. Camillo De Lellis).
 2016  , ETH Zürich
References
 Prof. Richard Schoen, Stanford University (schoen@math.stanford.edu)
 Prof. Andrea Malchiodi, Scuola Normale Superiore (andrea.malchiodi@sns.it)
 Prof. André Neves, University of Chicago (neves@math.uchicago.edu)
 Prof. Fernando Codá Marques, Princeton University (coda@math.princeton.edu)
 Prof. Ailana Fraser, University of British Columbia (afraser@math.ubc.ca)