Last updated on June 17, 2007.

You may find a list of publications with abstracts here in either DVI or PDF.


Articles on Galois Representations

Extending the Serre-Faltings Method for Q-Curves
In Preparation

DVI

PDF

On the Modularity of Wildly Ramified Galois Representations
Submitted

DVI

PDF

Icosahedral Q-Curve Extensions
Math. Res. Lett. 10 (2003), no. 2-3

DVI

PDF

Artin's Conjecture and Elliptic Curves
Council for African-Americans in the Mathematical Sciences, Vol. III; Contemp. Math. 275 (2001)

DVI

PDF

Elliptic Curves and Icosahedral Galois Representations
Thesis for Stanford University (1999)

DVI

PDF

Abstract


Articles on Elliptic Curves

Semi-Magic Squares and Elliptic Curves
Submitted

DVI

PDF

Heron Triangles via Elliptic Curves with Davin Maddox
Rocky Mountain Journal of Mathematics, Vol. 36-5 (2006)

DVI

PDF

Explicit Descent via 4-Isogeny on an Elliptic Curve
Submitted

DVI

PDF

Heron Triangles, Diophantine Problems and Elliptic Curves with Garikai Campbell
Submitted

PDF


Miscellaneous Articles

Pythagorean Quadruplets with Alain Togbe
International Journal of Pure and Applied Mathematics, Vol. 35-3 (2007)

DVI

PDF

A Ternary Algebra with Applications to Binary Quadratic Forms
Council for African-Americans in the Mathematical Sciences, Vol. IV; Contemp. Math. 284 (2001)

DVI

PDF

On the Distribution of Fractional Parts with Melvin Currie
Council for African-Americans in the Mathematical Sciences, Vol. III; Contemp. Math. 275 (2001)

DVI

PDF

It's Part of Our Past: A Look Into the History of Caltech's Black Students
California Tech, Caltech Student-Run Newspaper (1994)

PDF

History of Caltech's Underrepresented Students
Caltech Summer Undergraduate Research Project (1993)

PDF