18.783 Elliptic Curves

Class Info

Computationally focused introduction to elliptic curves, with applications to number theory and cryptography. Topics include point-counting, isogenies, pairings, and the theory of complex multiplication, with applications to integer factorization, primality proving, and elliptic curve cryptography. Includes a brief introduction to modular curves and the proof of Fermat's Last Theorem.

This class has 18.702, and 18.703 as prerequisites.

18.783 will be offered this semester (Fall 2019). It is instructed by A. Pixton.

Lecture occurs 9:30 AM to 11:00 AM on Tuesdays and Thursdays in 2-190.

This class counts for a total of 12 credits.

You can find more information at the 18.783 Home site.

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