## COURSE DESCRIPTION

Arithmetic geometry lies at the intersection of algebraic geometry and number theory.
Its primary focus is the analysis of diophantine equations (*x ^{n}* +

*y*=

^{n}*z*, for example), both from an algebraic and a geometric perspective. See the

^{n}**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