Laurea: Sapienza, Rome, 1969. Advisor: Claudio Procesi.
Ph.D.: Columbia University, New York, 1973. Advisors: Lipman Bers, Herb Clemens.
International Congress of Mathematicians, Berkeley, 1986.
AMS symposium on Algebraic Geometry, Bowdoin 1985.
AMS symposium on Theta function, Bowdoin 1987.
BMS Lecture, Berlin 2016.
Benjamin Pierce Assistant Professor, Harvard, 1973-75 and 1979-81.
Professor, Università di Roma "Sapienza", 1982-1996, 2001-2016.
Maître de Recherche, École Polytéchnique, 1983.
Visiting Professor, Courant Institute, New York University, 1984-85.
Visiting Professor, M.I.T., Fall 1988.
Visiting Professor, Tata Institute of fundamental Research (Mumbai), February-April 1992.
Member of the Institute for Advanced Study (Princeton) 1993-94.
Visiting Professor of Mathematics, Institut Henri Poincaré, Paris, March 1995
Professor, Scuola Normale Superiore, 1996-2000.
Distinguished Visiting Professor, Courant Institute, New York University, 1999.
Visiting Professor, Columbia University, February-May, 2004.
Member of the Institute for Advanced Study (Princeton), Spring 2005.
Member of the Institute for Advanced Study (Princeton), October-November 2014.
Visiting Professor, Collège de France, October 2016.
Visiting Professor, Stony Brook University, January-May 2017.
Visiting Professor, Scuola Normale Superiore, Pisa, September 2017- January 2018.
Visiting Professor, Skolkovo Institute of Science and Technology, Moscow, Russia, May 2018
Visiting Professor, SISSA, Trieste, September-November 2018
Visiting Professor, Chennai Mathematical Institute, India, January-February 2019.
Visiting Professor, Skolkovo Institute of Science and Technology, and HSE, Moscow, Russia, September-November 2019
Visiting Professor, Collège de France, January 2020.
Medal of the Italian National Academy of Science, 1986.
"Algebraic Geometry Prize" for best paper published in the journal
Algebraic Geometry in the period 2017-2019 (joint paper with A. Bruno, and E. Sernesi entitled: On Hyperplane Sections of K3 Surfaces).
Accademia Nazionale dei Lincei,
Accademia Nazionale delle Scienze,
European Academy of Science,
Inaugural Class Fellow of the American Mathematical Society.
Italian Academy for Advanced Study in America.
International Mathematics Research Notices,
International Mathematics Research Papers,
Annali di Matematica,
Journal of The European Mathematical Society, 1999-2014,
Annali della Scuola Normale Superiore,
Communications in Contemporary Mathematics.
Annali della Scuola Normale Superiore, 1996-2000.
Member: Fields Medal Committee, 2006.