18.782 - Arithmetic Geometry

Instructor: David Roe

Grader: Zhiyu Zhang

Contact: roed@mit.edu

Lectures: MWF 12:00 - 13:00, Zoom

Office Hours: M 13:00-14:00, W 16:00-17:00, Zoom

Term: Fall 2020


Arithmetic geometry lies at the intersection of algebraic geometry and number theory. Its primary focus is the analysis of diophantine equations (xn + yn = zn, for example), both from an algebraic and a geometric perspective. See the course schedule for a list of planned topics.

Note: 18.782 and 18.783 both cover material on elliptic curves, but there is essentially no overlap; the courses are complementary and may be taken in either order.

Prerequisites: 18.702.

This web page is updated regularly -- be sure to refresh your browser to see the latest announcements. Updates will be announced on Zulip