18.783 - Elliptic Curves


Lecturer: Andrew Sutherland

Office: 2-341B

Email: drew@math.mit.edu

Time and Place: MW 1-2:30, 2-131

Office Hours: T 1:30-2:30, F 10-12, 3-5

Grader: Soohyun Park (office hours R 3-5 in 2-239)


COURSE DESCRIPTION

A computationally focused introduction to elliptic curves, with applications to number theory and cryptography. While this is an introductory course, we will (gently) work our way up to some fairly advanced material, including a high-level overview of the proof of Fermat's last theorem.

Prerequisites: A course in algebra covering groups, rings, and fields. May be taken concurrently with 18.702.


RECENT UPDATES

05-23-17  The notes for Lecture 24 have been updated to include some additional material on pairings that we did not have time to cover in class.

05-19-17  The notes for Lecture 26 have been posted.

05-17-17  The notes for Lecture 25 have been posted.

05-15-17  The notes for Lecture 24 have been posted.