## COURSE DESCRIPTION

A computationally focused introduction to elliptic curves, with applications to number theory and cryptography. Lecture notes from the 2017 edition of this course are available on **OCW**. The 2019 edition will include some additional material on isogeny graphs relevant to post-quantum ECC.

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

## RECENT UPDATES

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

**05-16-19** The notes for **Lecture 24** have been updated to correct an error in the statement of Corollary 24.31 (the point *P* must have order *n*).

**05-13-19** The notes for **Lecture 25** have been posted.

**05-12-19** If you have not already done so, please be sure to fill out the **Online Subject Evaluation** for 18.783.