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.[6][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][4]
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 doi:10.1016/S1631-073X(02)02240-9
with U. Zannier: Finiteness of Integral Values for the Ratio of Two Linear Recurrences, Inventiones Mathematicae, vol. 149, 2002, pp. 431–451. doi:10.1007/s002220200221
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. doi:10.1007/BF02392563
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
^"Università di Udine: porte aperte alla future matricole" [University of Udine: doors open to future freshmen] (in Italian). Controcampus. 12 March 2014. Retrieved 13 January 2020. Il programma dell'incontro prevede i saluti della direttrice dell'istituto, Donata Levi, e del vice direttore, Pietro Corvaja, che presenterà la Scuola.
^"Organi direttivi" (in Italian). School of Excellence of the University of Udine. Retrieved 13 January 2020.
^Corvaja, P. and Zannier, U. "A subspace theorem approach to integral points on curves", Compte Rendu Acad. Sci., 334, 2002, pp. 267–271 doi:10.1016/S1631-073X(02)02240-9