Pietro Corvaja (born 19 July 1967 in

Padua Padua ( ; it, Padova ; vec, Pàdova) is a city and ''comune'' in Veneto, northern Italy. Padua is on the river Bacchiglione, west of Venice. It is the capital of the province of Padua. It is also the economic and communications hub of the ...

Italy Italy ( it, Italia ), officially the Italian Republic, ) or the Republic of Italy, is a country in Southern Europe. It is located in the middle of the Mediterranean Sea, and its territory largely coincides with the homonymous geographical re ...

) is an Italian mathematician working in Diophantine geometry. He is a professor of geometry at the

University of Udine The University of Udine (Italian ''Università degli Studi di Udine'') is a university in the city of Udine, Italy. It was founded in 1978 as part of the reconstruction plan of Friuli after the earthquake in 1976. Its aim was to provide the Friul ...

Early life and education

Corvaja was born in Padua, Italy on 19 July 1967. He graduated with a scientific high school diploma from a liceo scientifico in 1985, before enrolling in the University of Pisa as a student of the

Scuola Normale Superiore di Pisa The Scuola Normale Superiore in Pisa (commonly known in Italy as "la Normale") is a public university in Pisa and Florence, Tuscany, Italy, currently attended by about 600 undergraduate and postgraduate (PhD) students. It was founded in 1810 wi ...

. He graduated from the Scuola Normale with an undergraduate thesis on the theory of

transcendental number In mathematics, a transcendental number is a number that is not algebraic—that is, not the root of a non-zero polynomial of finite degree with rational coefficients. The best known transcendental numbers are and . Though only a few classes ...

s under the direction of Roberto Dvornicich in 1989. After a one year scholarship at

INdAM The Istituto Nazionale di Alta Matematica Francesco Severi, abbreviated as INdAM, is a government created non-profit research institution whose main purpose is to promote research in the field of mathematics and its applications and the diffusion ...

from 1989 to 1990, Corvaja completed his PhD under

Michel Waldschmidt Michel Waldschmidt (born June 17, 1946 at Nancy, France) is a French mathematician, specializing in number theory, especially transcendental numbers. Biography Waldschmidt was educated at Lycée Henri Poincaré and the University of Nancy unti ...

and Michel Laurent at

Pierre and Marie Curie University Pierre and Marie Curie University (french: link=no, Université Pierre-et-Marie-Curie, UPMC), also known as Paris 6, was a public university, public research university in Paris, France, from 1971 to 2017. The university was located on the Jussi ...

in 1995. From 1994 to 1995, he was also a research assistant at the

Università Iuav di Venezia Iuav University of Venice ( it, Università Iuav di Venezia) is a university in Venice, Italy. It was founded in 1926 as the Istituto Universitario di Architettura di Venezia as one of the first Architecture schools in Italy. The university curren ...

as a collaborator of

Umberto Zannier Umberto Zannier (born 25 May 1957, in Spilimbergo, Italy) is an Italian mathematician, specializing in number theory and Diophantine geometry. Education Zannier earned a Laurea degree from University of Pisa and studied at the Scuola Normale Sup ...

. In 2001, Corvaja obtained his

habilitation Habilitation is the highest university degree, or the procedure by which it is achieved, in many European countries. The candidate fulfills a university's set criteria of excellence in research, teaching and further education, usually including a ...

qualification at Pierre and Marie Curie University.

Career

In 1995, Corvaja became a researcher at the University of Udine. From 1997 to 1998, he was a member of the

Institute for Advanced Study The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent scholar ...

under the direction of Enrico Bombieri. In 2002, Corvaja became an associate professor of algebra at the University of Udine. Since 2005, he has been a professor of geometry at the University of Udine. Corvaja is the coordinator of the mathematics program and the vice director of the Scuola Superiore (School of Excellence) of the University of Udine.

Research

Corvaja and Zannier gave a new proof of Siegel's theorem on integral points in 2002 by using a new method based on the subspace theorem.Corvaja, P. and Zannier, U. "A subspace theorem approach to integral points on curves", Compte Rendu Acad. Sci., 334, 2002, pp. 267–271

Awards

Corvaja was inducted into the Istituto Veneto di Scienze, Lettere ed Arti on 26 May 2016.

Selected publications

* with J. Noguchi: ''A new unicity theorem and Erdős' problem for polarized semi-abelian varieties'', Math. Ann., vol. 353, no. 2 (2012), pp. 439–464. * with U. Zannier: ''A subspace theorem approach to integral points on curves'', Compte Rendu Acad. Sci., vol. 334, 2002, pp. 267–271 * with U. Zannier: '' Finiteness of Integral Values for the Ratio of Two Linear Recurrences'', Inventiones Mathematicae, vol. 149, 2002, pp. 431–451. * with U. Zannier: ''On Integral Points on Surfaces'', Annals of Mathematics, Vol. 160, 2004, pp. 705–726
arXiv preprint
* with U. Zannier: ''On the rational approximations to the powers of an algebraic number: solution of two problems of Mahler and Mendès France'', Acta Mathematica, vol. 193, no. 2, 2004, pp. 175–191. * with U. Zannier: ''Some cases of Vojta's conjecture on integral points over function fields'', Journal of Algebraic Geometry, vol. 17, 2008, pp. 295–333
arXiv preprint

References

External links

* * {{DEFAULTSORT:Corvaja, Pietro 20th-century Italian mathematicians 21st-century Italian mathematicians University of Pisa alumni Scuola Normale Superiore di Pisa alumni 1967 births Scientists from Padua Italian algebraic geometers Arithmetic geometers Living people Academic staff of the University of Udine