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, and 18.702 as prerequisites.

18.783 will not be offered this semester. It will be available in the Spring semester, and will be instructed by A. Sutherland.

This class counts for a total of 12 credits.

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