MATH5020-Elliptic_Curves

This is the repository for my graduate course “The Arithmetic of Elliptic Curves” that I teach (every few years) at UConn. Things that can be found here:

• Lecture notes
• Homework sets
• Apps

More information about the course (including links to the videos by lecture) can be found at the course’s website:

https://alozano.clas.uconn.edu/math5020-elliptic-curves/

Videos

Here is a list of video playlists that may be useful:

• Videos of lectures for this class.
• A mini-course on elliptic curves.
• Videos on elliptic curve cryptography.
• A mini-course on Galois representations.
• A list of video introductions to the LMFDB, Magma, and Sage/CoCalc.

Apps

• Elliptic curve addition and multiplication app Rational Points
• Homework problem browser, by topic, with hints and an accessible-mode toggle EC Problem Explorer