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 18.703 as a prerequisite. This class has 18.702 as a corequisite.

18.783 will be offered this semester (Spring 2019). It is instructed by A. Sutherland.

Lecture occurs 1:00 PM to 2:30 PM on Mondays and Wednesdays in 2-143.

This class counts for a total of 12 credits.

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