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Searched for: "18.783" Subjects offered any term 1 subject found.
18.783 Elliptic Curves
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(Subject meets with 18.7831)
Prereq: 18.703; or Coreq: 18.702; or permission of instructor
Units: 3-0-9
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.
A. Sutherland
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