These are directions and possible project topics suggested to students. (PDF)

Student Projects

Hasse’s Theorem and Rational Points on the General Conic (PDF) (Courtesy of Dilip Das. Used with permission.)

A Few Elementary Facts about Elliptic Curves (PDF)

Elliptic Curve Cryptography (PDF)

On 1-dimensional Group Variety (PDF)

Best Kept Secrets: Elliptic Curves and Modern Cryptosystems (PDF) (Courtesy of Thomas Coffee. Used with permission.)

Waring’s Problem, Taxicab Numbers, and Other Sums of Powers (PDF)

Elliptic Curves in Public Key Cryptography: The Diffie Hellman Key Exchange Protocol and its relationship to the Elliptic Curve Discrete Logarithm Problem (PDF)

Course Info

As Taught In
Fall 2004
Learning Resource Types
Lecture Notes
Projects with Examples
Problem Sets with Solutions