18.783 - Elliptic Curves

Lecturer: Andrew Sutherland

Email: drew@math.mit.edu

Time and Place: TR 9:30-11, 2-132

Office Hours: M 18:00-19:00 (Zoom)
        T 11:00-12:00 (2-341B)


A computationally focused introduction to elliptic curves, with applications to number theory and cryptography. Lecture notes from the 2021 edition of this course are available on OCW. The 2023 edition will include some material on elliptic curves over ℚ that was not covered in 2021; see the course outline for more details.

This class will be taught live and will not be recorded. We are not using Canvas for this course, but you can find the Zoom link for virtual offices hours posted there (Touchstone authentication is required).

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) may be helpful but is not required.


12-12-23 The notes for Lecture 25 have been posted.

12-07-23 The notes for Lecture 24 have been posted.

12-07-23Problem Set 12 has been posted. It is due Wednesday, December 13, by midnight.

12-05-23 The notes for Lecture 23 have been posted.

11-21-23 The notes for Lecture 22 have been posted.

11-21-23 The notes for Lecture 21 have been posted.