Lucien Szpiro

Lucien Szpiro ( born December 23, 1941) is a French mathematician who deals with number theory, arithmetic algebraic geometry and commutative algebra.

Szpiro in 1971 received his doctorate in Pierre Samuel at the University of Paris-Sud XI, Orsay. He was then a professor there, and from the 1990s, a professor at Columbia University in New York. He is currently a professor at the CUNY Graduate Center of the City University of New York, where he directs a joint New York's number theoretical seminar with Dorian Goldfeld and Peter Sarnak. Szpiro employed, inter alia, to with Arakelov theory. From Szpiro comes a conjecture about the asymptotic behavior (with respect to the size of the leader of the elliptic curve N) of the (minimal) discriminant D of elliptic curves:

( In other words, for each there is a positive constant, so ). Leaders and discriminant are two important arithmetic invariants of elliptic curves.

From this assumption, the abc- conjecture follows. Szpiros conjecture is also equivalent to a conjecture about the asymptotic behavior of the order of the Tate - Shafarevich groups of elliptic curve as Szpiro showed with gold box for modular elliptic curves.

Szpiro 's conjecture, which he presented in Hanover in 1983, was one of the motivations for the abc conjecture ( Masser, Oesterlé 1985).

His doctoral Emmanuel Ullmo heard.

He is a Fellow of the American Mathematical Society.

Writings

• Szpiro " de Mordell Conjecture ", Seminar Bourbaki 1983/4