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)