18.783 - Elliptic Curves


Lecturer: Andrew Sutherland

Email: drew@math.mit.edu

Time and Place: TR 9:30-11, 2-136

Office Hours: R 14:30-16:30 (2-341B)
        F 9:30-11:30 (2-255)


COURSE DESCRIPTION

A computationally focused introduction to elliptic curves, with applications to number theory and cryptography. Lecture notes from the 2023 edition of 18.783 can be found here. See the course outline for more details.

Prerequisites: A year of algebra groups covering groups, rings, and fields (including Galois theory) at the level of 18.701/2. Complex analysis (18.112) is helpful but not required.


RECENT UPDATES

10-25-25Problem Set 8 has been posted. It is due Wednesday, November 12 (by midnight).

11-04-25 Reminder: The second mid-term will take place in class on Thursday, Nov 6.

11-04-25 The notes for Lecture 17 have been posted.

10-30-25 The notes for Lecture 16 have been posted.

10-28-25 The notes for Lecture 15 have been posted.