• About SNS

    The Scuola Normale Superiore is a public institute for higher education that in its two centuries of life has earned itself a special place, both in Italy and abroad, a place characterised by merit, talent and scientific rigour.  Two types of course are available: the undergraduate course and the PhD course.The teaching activity is distributed among three academic structures: the Faculty of Humanities, the Faculty of Mathematical and Natural Sciences, placed in Pisa, and the Institute of Humanities and Social Sciences, located in Palazzo Strozzi in Florence. 

  • Admission

    The evaluation for entrance to the first year of the undergraduate course does not include the high school leaving certificate, and the bachelor's degree is not taken into consideration in the entrance examination for the fourth year course. For each PhD course, candidates’ level of competence, talent, motivations and aptitudes to scientific research will be assessed on the basis of their qualifications and research project and an interview.

  • Academics

    The Scuola Normale Superiore offers two types of course: the undergraduate course, leading to first and second level university degrees, and the PhD course, the international equivalent of the Italian Dottorato di ricerca.The teaching and research activity is distributed among three academic structures: the Faculty of Humanities, the Faculty of Mathematical and Natural Sciences, and the Institute of Humanities and Social Sciences.The first two academic structures, housed at the Pisa site, organize courses for both the  undergraduate course and the PhD course. The Institute of Humanities and Social Sciences, situated in Palazzo Strozzi in Florence, deals only with the PhD course.

  • Research

    A highly qualifying feature of the Normale way is the strong link between teaching and research that is a characteristic of both the undergraduate and the graduate programmes of the Scuola. The research structures of the two Faculties welcome students with a relevant study interest, enabling them to collaborate in a mature way with the activities of the researchers.

  • International

    The Scuola Normale is an institute of a decidedly international nature. Examinations for admission to the undergraduate degree course and for the PhD course are open to all citizens worldwide. A certain number of places on the PhD course are reserved for students from other countries. During the pre laurea and  post lauream teaching courses, study and research programmes are made available at overseas universities and research centres with which the Scuola forms an intense network of collaboration.  The doctorate course in particular is taught in a veritable graduate school in line with the highest international standards. 

Full Professor
Tel. +39 050 509262

Palazzo della Carovana

Classe di Scienze Matematiche e Naturali
Piazza dei Cavalieri, 7
56126, PISA

Born in Spilimbergo (Italy) on 25 May 1957

- Degree in Math., Univ. of Pisa, and Scuola Normale.
- Researcher Univ. Padova (1983), Associate Professor Univ. Salerno Salerno (1987) , Full Professor  Unive. IUAV  Venezia (1991). 
- Since 2003, Full Professor in Geometry, Scuola Normale Superiore, Pisa.

Main research interests: Number Theory, especially Diophantine Geometry and related topics. 

Some invited lectures
- Lectures at New York Number Theory Seminar (Columbia-NYU-CUNY - 2000,2002,2005,2009,2011)
- Colloquium, Univ. Tel Aviv, 2002.
- Plenary lecture at Journèes Arithmetiques" (Graz 2003 and Grenoble 2013), 
- Invited lecture, IV European Congress of Mathematics" (Stockholm, 2004),
- Plenary lecture at CNTA XII (Lethbridge 2012), 
- Plenary lectures at symposia in honor of   L. Szpiro (Paris-Orsay 2001 and New York 2011), W.M. Schmidt (Vienna 2004), G. Wuestholz (ETH Zuerich 2011), C. De Concini (Cortona 2012), Joe Silverman (Brown Univ. 2015)
- Plenary lecture at Number Theory Days, ETH, 2008.
- Nachdiploma Course ETH (then shifted to a shorter course per personal reasons), 2009
- Plenary lecture at Giornata Indam 2009, 
- May 2010,  XXX  cycle of the `Hermann Weil Lectures',  Institute for Advanced Study,  Princeton.
- Multiple lectures at Midrasha Math. School, Israel Inst. for Adv. St., Jerusalem 2013.
- Plenary lecture at joint meeting of Austrian and German Math. Societies, Innsbruch, 2013.
- Invited lecture at ICM Seoul 2014.
- Lecture at Oxford Clay meeting on Functional Transcendence, 2014.


Visited Institute for Advanced Study Princeton (Member in 2000), Israel Institute for Advanced Studies Jerusalem, Institut Henri Poincarè Paris, IHES Paris, ETH  Zuerich,  MSRI Berkeley, Schroedinger Institut ,  Vienna, and several universities.


- Since  2004:  non resident  Member of Istituto Veneto di Scienze, Lettere ed Arti. 
- Medal for Mathematics  2005 from the italian National Academy of Sciences.
- Since  2006 Corr. Member of Accademia Nazionale dei Lincei.
- Recipient of an Advanced Grant, by the Europ. Research Council, 2011.
- Since 2012 Member of Academia Europaea.


Organization of events:
- 1989 Amalfi Symposium in Analytic Number Theory (with E. Bombieri, A. Perelli, S.Salerno)- Co-editor of Proceedings.
- 1995: Number Theory Meeting, Venezia.
- 2000: CIME Summer School in Diophantine Approximation (with F. Amoroso), Cetraro - Italy, co-editor of Springer Proceedings.
- 2004: Diophantine Geometry, trimester at Centro De Giorgi (Pisa), Co-Editor of Proceedings.
- 2005/2014: Colloquia De Giorgi (series of lectures at Scuola Normale), Editor of the corresponding publication (by Edizioni della Normale)
- 2008: Meeting of cooperation Italy-India (with M. Waldshmidt, R. Balasubramanian), Pisa.
- 2011: AIM meeting on Unlikely Intersections (with J. Pila and Am. Inst. of Math., Pisa)
- 2012: ERC meeting in Diophantine Geometry (bimester in Pisa).
- 2014: II ERC meeting in Diophantine Geometry (two weeks, Cetraro, Italy)
- 2015: III ERC meeting in Diophantine Geometry (27--29 May, Roma, Accademia dei Lincei)

- Since 2005: Co-organizer of workshops in Dioph. Approximation at CIRM Luminy and Math. FI. Oberwolfach.


Editorial Boards:  
Acta Arithmetica,
 Annali Sci. Scuola Normale Superiore (Director since 2012), 
Boll. U.M.I.,
 International Math. Res. Notices, 
International J. of Number Theory (Managing Editor), 
Journal European Math. Soc., 
Monatshefte fuer Math., 
Rend. Accademia Lincei, 
Rend. Sem. Mat. Univ. Padova. 


- Some Applications of Diophantine Approximation to Diophantine Equation (Udine Forum, 2002)
- Lecture Notes on Diophantine Analysys (Edizioni della Normale, 2005, reprinted 2014)
- Some problems of Unlikely Intersections in Arithmetic and Geometry, Annals of Math. Studies, n. 181, Princeton Univ. Press, 2012.
- Lecture Notes on the Elementary Theory of Valuations (with R. Scognamillo, Ed. della Normale).

Contributed to math. non-technical articles for Le Matematiche" (Einaudi, 2008), and "Terzo Millennio" (Treccani). 

An updated list of publications appears in MthSciNet http://www.ams.org/mathscinet/search/publications.html?pg1=INDI&s1=186540