**Instructor:** Shiva Chidambaram

**Email:** shivac@mit.edu

**Office:** Room 2-336

**Office Hours:** Mon 1-2 pm, Fri 10-11 am

**Lectures:** MWF 9:00-10:00, 2-143

## Course Description

Arithmetic geometry lies at the intersection of algebraic geometry and number theory. Its primary focus is the analysis of diophantine equations ($x^n + y^n = z^n$, for example), both from an algebraic and a geometric perspective. See the course outline 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.

## Recent Updates

**04/26/2023** Problem Set 10 has been posted. It is due on 05/06/2023. Note the later date than usual.

**04/19/2023** Problem Set 9 has been posted. It is due on 04/27/2023.

**04/12/2023** Problem Set 8 has been posted. It is due on 04/20/2023.

**04/10/2023** Project ideas posted. Project proposal due on 04/25/2023.

**04/05/2023** Problem Set 7 has been posted. It is due on 04/13/2023.

**03/15/2023** Problem Set 6 has been posted. It is due on 03/23/2023.

**03/08/2023** Problem Set 5 has been posted. It is due on 03/16/2023.

**03/01/2023** Problem Set 4 has been posted. It is due on 03/09/2023, the usual Thursday.

**02/22/2023** Problem Set 3 has been posted. It is due on 03/04/2023. Note the later date than usual.

**02/15/2023** Problem Set 2 has been posted. It is due on 02/23/2023.

**02/08/2023** Problem Set 1 has been posted. It is due on 02/16/2023.

**02/05/2023** Welcome to the spring semester!