Main Menu

Symposia

Abstracts

Block Schedule

Forms

Committee




Francais

Printer friendly page


CMS Doctoral Prize / Prix de doctorat


ALINA CARMEN COJOCARU, Princeton University, Mathematics Department, Princeton, New Jersey  08540, USA
Elliptic curves modulo p

An elliptic curve over the rationals is the locus of an equation of the form y2 = x3 + a x + b, where a and b are integers such that 4a3 +27 b2 is nonzero, together with a point at infinity.

Elliptic curves have a very rich structure, and, thanks to their remarkable properties, they have been topics of mainstream research for more than a century. In this talk we will give a short introduction to the theory of elliptic curves, and focus on some questions about the reductions of an elliptic curve modulo primes. These questions resemble classical problems in number theory, such as the twin prime conjecture, the Artin's primitive root conjecture, or the Buniakowski-Schinzel hypothesis on the primes of the form n2 + 1.

 


top of page
Copyright © Canadian Mathematical Society - Société mathématique du Canada.
Any comments or suggestions should be sent to - Commentaires ou suggestions envoyé à: eo@cms.math.ca.