Pietro Corvaja Explained

Pietro Corvaja
Birth Date:	19 July 1967
Birth Place:	Padua, Italy
Nationality:	Italian
Field:	Mathematics
Work Institutions:	University of Udine
Alma Mater:	Pierre and Marie Curie University Scuola Normale Superiore di Pisa University of Pisa
Doctoral Advisor:	Michel Waldschmidt Michel Laurent
Thesis Title:	Approximation diophantienne sur la droite
Thesis Year:	1995

Pietro Corvaja (born 19 July 1967 in Padua, Italy)^[1] is an Italian mathematician working in Diophantine geometry. He is a professor of geometry at the University of Udine.^{[2] [3]}

Early life and education

Corvaja was born in Padua, Italy on 19 July 1967.^[1] He graduated with a scientific high school diploma from a liceo scientifico in 1985,^[1] before enrolling in the University of Pisa as a student of the Scuola Normale Superiore di Pisa.^[1] He graduated from the Scuola Normale with an undergraduate thesis on the theory of transcendental numbers under the direction of Roberto Dvornicich in 1989.^[1]

After a one year scholarship at INdAM from 1989 to 1990, Corvaja completed his PhD under Michel Waldschmidt and Michel Laurent at Pierre and Marie Curie University in 1995.^[1] From 1994 to 1995, he was also a research assistant at the Università Iuav di Venezia as a collaborator of Umberto Zannier.^[1] In 2001, Corvaja obtained his habilitation qualification at Pierre and Marie Curie University.^[1]

Career

In 1995, Corvaja became a researcher at the University of Udine.^[1] From 1997 to 1998, he was a member of the Institute for Advanced Study under the direction of Enrico Bombieri.^{[4] [1]} In 2002, Corvaja became an associate professor of algebra at the University of Udine.^[1] Since 2005, he has been a professor of geometry at the University of Udine.^[1]

Corvaja is the coordinator of the mathematics program and the vice director of the Scuola Superiore (School of Excellence) of the University of Udine.^{[5] [1] [6]}

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.^[7]

Awards

Corvaja was inducted into the Istituto Veneto di Scienze, Lettere ed Arti on 26 May 2016.^[1]

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

Notes and References

1. Web site: Pietro Corvaja . . 13 January 2020 . it.
2. Web site: Pietro Corvaja . University of Udine, Dipartimento di Scienze, Matematiche Informatiche e fisiche . it . 13 January 2020.
3. Web site: Pietro Corvaja . . it . 13 January 2020.
4. Web site: Pietro Corvaja . . 13 January 2020.
5. News: Università di Udine: porte aperte alla future matricole . it . University of Udine: doors open to future freshmen . Controcampus . Il programma dell'incontro prevede i saluti della direttrice dell'istituto, Donata Levi, e del vice direttore, Pietro Corvaja, che presenterà la Scuola. . 12 March 2014 . 13 January 2020.
6. Web site: Organi direttivi . it . School of Excellence of the University of Udine . 13 January 2020.
7. Corvaja, P. and Zannier, U. "A subspace theorem approach to integral points on curves", Compte Rendu Acad. Sci., 334, 2002, pp. 267–271