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
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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!