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
12-09-25 Special office hours this week: Tuesday 3-4:30pm, Thursday 10-12am.
12-09-25 The notes for Lecture 25 have been posted.
12-08-25 The notes for Lecture 24 have been posted.
12-07-25 The notes for Lecture 23 have been revised to use an alternative definition of the Weil pairing and a self-contained proof of Corollary 23.25 (dual of the sum is sum of the duals).
12-04-25 The notes for Lecture 23 have been posted.
12-02-25 The notes for Lecture 22 have been posted.
