Image for Umberto Zannier

Umberto Zannier

Full Professor

Geometria (SSD: MATH-02/B)

050 509262
Palazzo della Carovana , terzo piano, stanza 54


- 1976/80 - Student, University of Pisa and Scuola Normale Superiore, Pisa.

- 1980/83 - Perfezionando, Scuola Normale Superiore (and Teaching Assistant, Un. Illinois).

Then Ricercatore (Padova 1983/1987), Associate Professor of Algebra (Salerno 1987/1991),

Full Professor of Geometry (Venice 1991/2003).

- Since 2004: Full Professor of Geometry (Scuola Normale Superiore, Pisa)


2004 - Elected member (non-resident) of the Academy Ist. Veneto di Scienze Lettere ed Arti.

2005 - Prize: Medal for Mathematics of the Italian National Academy of Sciences.

2006 - Elected (corresponding) member of Accademia Nazionale dei Lincei.

2011 - Recipient of European Advanced Grant “Diophantine Problems” (5 years).

2012 - Elected member of “Academia Europaea”.

2023 - Prize Frontiers of Science Award, BIMSA - Beijing (awarded jointly with David Masser).

Invitation to several special lectures and lecture-series (see below).


2003 - Plenary lecture at biennial Number Theory meeting Journ´ees Arithm´etiques.

2004 - Invited Lecture at ‘Fourth European Congress of Mathematics’, Stockholm.

2012 - Plenary lecture at the biennial Number Theory meeting “CNTA XII”, (Canada).

2013 - Plenary lecture at the biennial Number Theory meeting Journées Arithmétiques.

2013 - Plenary lecture at the joint Austrian-German Math. Societies meeting (Innsbruck).

2014 - Invited Section Lecture (Number Theory) at the ICM in Seoul.

2018 - PIMS Distinghished Colloquium Lecture, Univ. British Columbia, Vancouver.

2020 - Shafarevic Seminar, Moscow, online talk.

2021 - Plenary lecture at ‘Eight European Congress of Mathematics’.

2023 - AMSS Distiguished Lecture, Beijing.

Lecture series

2008 - “Nachdiploma Course” ETH (then shifted for personal reasons to a course in 2009).

2010 - The Hermann Weyl Lectures, Institute for Advanced Study, Princeton (May 2010).

2013 - Lecture series at ‘Midrasha School’, Israel Institute for Advanced Studies.

2016 - The Ritt Lectures (Columbia University, New York, May 3–4).

2016 - Lecture Series at Alpbach Summer School (with P. Scholze and S. Zhang).

2017 - Distinguished Lecture Series at the Fields Institute - Toronto (Feb. 2017).

2017 - Minerva Lecture Series, Princeton University, November 2017.


JOURNALS Ed. Board include

  • Acta Arithmetica
  • Annali della Scuola Normale Superiore di Pisa, Cl. Sci. (Director since 2012)
  • International Mathematics Research Notices (IMRN)
  • Journal of the European Math. Society (JEMS), 2010-2020, Monatshefte fuer Mathematik (MOFM)
  • Rendiconti Matematici dell’Accademia dei Lincei, RML
  • Rendiconti del Seminario Matematico Univ. Padova

Edited volumes

  • Analytic Number Theory (Proc. of Amalfi Conference 1989)
  • Diophantine Approximation (Proc. of Cetraro CIME Conf. 2000, Springer)
  • Diophantine Geometry (Proc. of Pisa Conf., 2003, SNS)
  • Colloquia De Giorgi (Pisa, 2006/2012, 5 short volumes, SNS)
  • On some applications of Diophantine approximations, Ed. Norm., Pisa, 2014, 160 pages. (Translation by C. Fuchs from the German of Siegel’s original 1929 paper on dioph. approx., with a commentary and an article Integral points on curves: Siegel’s theorem after Siegel’s proof by theEditors.)



Author of over 220 published research papers. An updated list of publications appears in MathSciNet.


  • Some Applications of Diophantine Approximation to Diophantine Equation (Udine Forum, 2002), 60 pages
  • Lecture Notes on Diophantine Analysys (Edizioni della Normale, 2005, repr. 2014), 200 pages
  • Some problems of Unlikely Intersections in Arithmetic and Geometry, Annals of Math. Studies, n. 181, Princeton Univ. Press, 2012. 160 pages
  • Lecture Notes on the Elementary Theory of Valuations (with R. Scognamillo, Ed. della Normale). 120 pages.
  • Applications of Diophantine Approximation to Integral Points and Transcendence (with P. Corvaja), Cambridge Tract 212, Cambridge Univ. Press, 2018, 198 pages.


Contributed to mathematical non-technical articles, e.g. for “Le Matematiche” (Einaudi, 2008), ”Terzo Millennio” (Treccani) and “Mathematics and Culture in Europe (Manaresi Ed., Springer Verlag).