18.783 Elliptic Curves, Spring 2013

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Author(s)

Sutherland, Andrew

Alternative Title

Elliptic Curves

Date Issued

June 2013

Abstract

This graduate-level course is a computationally focused introduction to elliptic curves, with applications to number theory and cryptography.

Subjects

elliptic curves

number theory

cryptography

point-counting

isogenies

pairings

theory of complex multiplication

integer factorization

primality proving

elliptic curve cryptography

modular curves

Fermat's Last Theorem

MIT Department

Massachusetts Institute of Technology. Department of Mathematics

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