Curriculum Vitae et Studiorum

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1 Curriculum Vitae et Studiorum PERSONAL INFORMATION Date and Place of birth: December 10th, 1986, Rome (Italy) Place of birth: Roma (RM), Italy Citizenship: Italian Permanent Address: Viale Giulio Agricola 131, 00174, Rome, Italy Permanent Languages: Italian (Native), English (Fluent), French (Fluent) CURRENT POSITION 01/07/ /06/2017 Marie Curie fellow Faculty of Natural Sciences, Department of Mathematics, Imperial College London; research field: Complex Geometry and Geometric Analysis; supervisor: Prof. Mark Haskins. EDUCATION 01/11/ /07/2014 Ph.D in Mathematics Faculty of Natural Sciences, Department of Mathematics, Ph.D joint program between Università di Roma Tor Vergata (Italy) and Université Paul Sabatier (France); tilte of the Ph.D thesis: Geometry of degenerate complex Monge-Ampère equations on compact Kähler manifolds; supervisors: V. Guedj and S. Trapani. 01/09/ /07/2010 Master s Degree in Mathematics Faculty of Natural Sciences, Department of Mathematics, Sapienza Università di Roma, Italy; title of the thesis: A bridge from weighted L 2 spaces to Sobolev spaces. Furthermore: compactness for the dbar-neumann operator; advisors: Prof. Alessandro Silva, Prof. Klas Diederich; finale grade: 110/110 cum laude. 01/09/ /07/2008 Bachelor s Degree in Mathematics Faculty of Natural Sciences, Department of Mathematics, Sapienza Università di Roma, Italy; title of the thesis: La funzione distanza e le equazioni di Hamilton-Jacobi (The distance function and Hamilton-Jacobi equations); advisor: Prof. Italo Capuzzo Dolcetta; final grade: 110/110 cum laude. PREVIOUS POSITION 01/09/ /06/2015 Research Associate Faculty of Natural Sciences, Department of Mathematics, Imperial College London; research field: Geometric Analysis; supervisor: Prof. Mark Haskins. 01/09/ /08/2014 A.T.E.R. (Attaché Temporaire d Enseignement et de Recherche) Institute de Mathématiques de Toulouse, Université Paul Sabatier, France. 1

2 01/11/ /07/2014 Ph.D in Mathematics Faculty of Natural Sciences, Department of Mathematics, Università di Roma Tor Vergata - Université Paul Sabatier, Italy - France; research field: Complex Geometry; supervisors: Prof. Stefano Trapani and Vincent Guedj. FELLOWSHIPS PRIZES 01/07/ /06/2017 Marie Sklodowska-Curie Fellowship (IF), Call: H2020- MSCA-IF-2014, Department of Mathematics, Imperial College London. 01/11/ /10/2013 Ph.D scholarship, Department of Mathematics, Università di Roma Tor Vergata, Italy. 01/01/ /09/2010 Fudickar Fellowship, Bergische Universitaet Wuppertal, Germany, supervisor: Prof. Klas Diederich. Premio UMI-INDAM-SIMAI 2015 for the Ph.D thesis. Premio Michele Cuozzo 2014 for the Ph.D thesis. Borsa Royal Society 2015, declined. TEACHING ACTIVITIES 05/10/ /12/2015 Teaching for the course Riemannian Geometry, Imperial College London. 01/02/ /06/2014 Teaching for the course L1-SFA Mathématique 4, Université Paul Sabatier. 01/09/ /01/2014 Teaching for the course L1-SFA Mathématique 1, Analyse 1, Université Paul Sabatier. 01/10/ /01/2013 Teaching of the course for Ph.D students Metriche di Kähler- Einstein (Kähler-Einstein metrics), together with Prof. Stefano Trapani, Università di Roma Tor Vergata. 01/10/ /01/2013 Teaching Assistant for the course Analisi 1 (Prof. Carlangelo Liverani, Giuseppe Benfatto), Università di Roma Tor Vergata. 01/02/ /05/2012 Tutoring for the course Degenerate complex Monge-Ampère equation on compact Kähler manifolds (Prof. Vincent Guedj), Université Paul Sabatier. 01/02/ /06/2011 Teaching Assistant for the course Geometria (Prof. Eleonora Ciriza), Università di Roma Tor Vergata. 01/10/ /01/2011 Tutor for the course Geometria (Prof. Maria Welleda Baldoni, Sandro Buoncristiano), Università di Roma Tor Vergata. 01/10/ /01/2011 Tutor for the course Analisi di Fourier (Prof. Enrico Valdinoci), Università di Roma Tor Vergata. ORGANISATION OF SCIENTIFIC MEETINGS 6 8/04/2011 Local organiser of the school Three days in PDE s (with A. Farina, G. Palatucci, E. Valdinoci), Università di Roma Tor Vergata.

3 INSTITUTIONAL RESPONSABILITIES 01/10/ /01/2012 Organiser of the Junior Seminar, Department of Mathematics, Università di Roma Tor Vergata. OTHERS Referee for Annals of Global Analysis and Geometry and Discrete and Continuous Dynamical Systems A. Reviewer for Zentralblatt MATH. PARTICIPATION IN PROJECTS Member of GNSAGA (Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni) of INDAM (Insituto Nazionale di Alta Matematica - National Institute of High Mathematics). Member of MACK (ANR-10-BLAN ), Equations de Monge-Ampère complexes et géométrie kählérienne, coordinator Prof. Vincent Guedj. Member of FIRB 2008 (Futuro in Ricerca), Geometria Differenziale Complessa e Dinamica Olomorfa (Complex Differential Geometry and Holomorphic Dynamics), coordinator Prof. Filippo Bracci. Member of PRIN 2011, Varietà reali e complesse: geometria, topologia e analisi armonica (Real and Complex Manifolds: geometry, topology and harmonic analysis), coordinator Prof. Filippo Bracci. RESEARCH INTERESTS I work on degenerate complex Monge-Ampère equations on compact Kähler manifolds. My research field is at the intersection of differential/complex geometry and analysis. In particular, my previous works deal with singular solutions of complex elliptic and parabolic Monge-Ampère equations. My current interest is to try an understand the fine asymptotic behavior of such singular solutions. This is a natural question in analysis which is unsolved and that has geometric consequences about how one can relate the asymptotic behavior of a metric to the singularities of a variety. PUBLICATIONS AND PREPRINTS 1. Hitchhiker s guide to the fractional Sobolev spaces, with G. Palatucci, E. Valdinoci, Bulletin des Sciences Mathématiques, Vol. 136 (2012), no. 5, Stability of Monge-Ampère energy classes, The Journal of Geometric Analysis, (2014), (DOI) /s x. 3. Complex Monge-Ampère equations on quasiprojective varieties, with C. H. Lu, Journal für die reine und angewandte Mathematik, (2014), DOI: /crelle Generalized Monge-Ampère Capacities, with C. H. Lu, International Mathematics Research Notices, (2014), DOI: /imrn/rnu Uniqueness and short time regularity of the weak Kähler-Ricci flow, with C. H. Lu, (2014), arxiv:

4 6. Finite Pluricomplex energy measures, Potential Analysis, (2015), DOI: /s Divisorial Zariski Decomposition and some properties of full mass currents, with E. Floris. S. Trapani, (2015) arxiv: INVITED TALKS September 25, 2015 : Degenerate complex Monge-Ampère equations, School and Workshop on Complex Analysis, Geometry and Dynamics, ICTP, Trieste. July 3, 2015: Smoothing properties of the Kähler-Ricci flow, Differentialgeometrie im Groen, Oberwolfach. June 1, 2015: Smoothing properties of the Kähler-Ricci flow, Complex Analysis and Geometry XXII, Levico Terme. May 15, 2015: Generalized Monge-Ampère capacities, A Complex Geometry Day, Centro Ennio de Giorgi, Pisa. May 13, 2015: Smoothing properties of the Kähler-Ricci flow, Algebraic Geometry Seminar, University of Cambridge. April, 14, 2015: Smoothing properties of the Kähler-Ricci flow, Geometric Flows: Recent Developments and Applications, BIRS, Banff. March 27, 2015: Regularizing properties of the Kähler-Ricci flow, Workshop on Complex Analysis and Geometry KAWA 6, Centro Ennio de Giorgi, Pisa. January 29, 2015: Regularizing properties and uniqueness of the Kähler-Ricci flow, at the Analysis Seminar, Warwick University. January 22, 2015: Regularizing properties of the Kähler-Ricci flow, at the Geometry and Analysis Seminar, Imperial College London. December 19, 2014: Degenerate complex Monge-Ampère equation on compact Kähler manifolds, Giornata di Dipartimento 2014, Universitá degli Studi di Roma Tor Vergata. December 18, 2014: Regularizing properties of the Kähler-Ricci flow, Algebraic Geometry and Representation Theory in Rome, Universitá degli Studi Roma Tre. December 3, 2014: Regularizing properties and uniqueness of the Kähler-Ricci flow, KASS Seminar, Chalmers University of Technology. October 20, 2014: Local regularity for singular solutions of degenerate complex Monge- Ampère equations, Meeting Progressi Recenti in Geometria Reale e Complessa IX, Levico Terme. August 27, 2014: Complex Monge Ampère equations on quasi projective varieties, Oberwolfach Workshop on Komplexe Analysis, Oberwolfach. May 23, 2014: Les équations de Monge-Ampère sur variètès quasi-projectives at Séminaire de Géométrie, Université de Nantes. April 18, 2014: Les équations de Monge-Ampère sur variètès quasi-projectives at Séminaire d Analyse et Géométrie Complexe, Université Paul Sabatier. February 6, 2014: Complex Monge Ampère equations on quasi projective varieties at Geometry and Analysis Seminar, Imperial College London.

5 October 18, 2013: Propriétés d invariance des courants d énergie finie at Séminaire d Analyse et Géométrie Complexe, Université Paul Sabatier. June 27, 2011: A bit of Hitchhiker s guide to the fractional Sobolev spaces at First European Meeting of Ph.D Students in Mathematics, Universitè de Picardie Julius Verne. EXPOSITORY TALKS October 19, 2015: Compact Kähler manifold with positive holomorphic bisectional curvature, at the Geometry Seminar, Imperial College London. May 27, 2015: The Kähler-Ricci flow on surfaces and the MMP, at the Geometry Seminar, UCL, London. March 11, 2015: An introduction to the Kähler-Ricci flow, at the Geometry Seminar, UCL, London. February 20, 2015: Degenerate complex Monge Ampère equations and Pluripotential theory, at the Junior Geometry Seminar, Imperial College London. February 12, 2015: Explicit partial resolutions of Kälher Ricci-flat cones, Oberwolfach Workshop on Singularities in G2-geometry. July 9, 2014: Lecture on The Calabi-Yau Theorem at LMS-CMI Research School - An invitation to Geometry and Topology via G2, Imperial College London. January 19, 2012: Local theory of pseudodifferential operators at Seminari di Matematica Junior, Università degli studi di Roma Tor Vergata. September 20, 2011: Atiyah-Singer theorem for Dirac operators at Complex Geometry Seminar, Università degli studi di Roma Tor Vergata. July 25, 2011: Structure theorem for elliptic operators on differentiable compact manifolds at Complex Geometry Seminar, Università degli studi di Roma Tor Vergata. SCHOOLS, CONFERENCES AND WORKSHOPS 2015 : School and Workshop on Complex Analysis, Geometry and Dynamics, ICTP. Gluing techniques in complex geometry, University of Bath. Summer School in Geometric Analysis, Northwestern University, Chicago. Differential geometrie im Groen, Oberwolfach. Complex Analysis and Geometry XXII, Levico Terme. Geometric Flows: Recent Developments and Applications, BIRS, Banff. Winterschool and Workshop on Complex Analysis and Geometry KAWA 6, Centro Ennio de Giorgi, Pisa. Oberwolfach Workshop on Singularities in G2-geometry, Oberwolfach : Workshop on Kähler Geometry, Final MACK, Université Paul Sabatier. Meeting Progressi Recenti in Geometria Real e Complessa - IX, Levico Terme. Oberwolfach Workshop on Komplexe Analysis, Oberwolfach. G2 days 2014, UCL, London.

6 LMS-CMI Research School - An invitation to Geometry and Topology via G2, Imperial College London. Complex Monge-Ampère Equations on Compact Kähler Manifolds, BIRS (Banff). Komplex Analysis Winterschool KAWA NORDAN, CIRM (Marseille). Workshop Familles de variétés Calabi-Yau (MACK 8), Université Paul Sabatier : Summer school and Workshop for Ricci curvature: limit spaces and Kähler geometry, ICMS, Edinburgh. Workshop on Kähler-Einstein Fano varieties (MACK 6), Université Paul Sabatier. Winter school and Workshop in Complex Analysis and Geometry (KAWA 4), Université Paul Sabatier et Albi : ICTP-ESF School and Conference on Geometric Analysis, ICTP, Trieste. GIT Stabilité et métriques de Kähler-Einstein (MACK 4), Paris 6. Workshop and winter school on Complex Analysis and Geometry (KAWA 3), University of Barcelona : School on Pluripotential Theory (CIME), Cetraro. First European Meeting of Ph.D Students in Mathematics, LAMFA, Université de Picardie Julius Verne, Amiens. Workshop on Complex Analysis and Geometry-XX, Levico Terme. School Three days in PDE s, Università di Roma Tor Vergata : décembre 2010 : Workshop on the dbar-neumann problem: analysis, geometry and potential theory, Erwin Schroedinger International Institute : Août 2009 : Summer graduate courses in Mathematics, Perugia.