Publications

 

1. Abelian Subgroups of Any Order in Class Groups of Global Function Fields, Journal of Number Theory, 106 (2004), 26-49.

2. Quadratic Reciprocity via Theta Functions, (with Ram Murty), Ramanujan Mathematical Society Lecture Notes Series, Volume 1 (2005), 107-116.

3. Subgroups of the Class Groups of Global Function Fields: The Inert Case, (with Y. Lee), Proceedings of the American Mathematical Society, 133 (2005), 2883-2889.

4. A Lower Bound on the Number of Cyclic Function Fields with Class Number Divisible by n, Canadian Mathematical Bulletin, 49 (2006), 448 - 463.

5. The Prime at Infinity and the Rank of the Class Group of Global Function Fields, Journal of Number Theory, 116 (2006), 311 - 323.

6. Higher Rank Subgroups in the Class Groups of Imaginary Function Fields (with Y. Lee), Journal of Pure and Applied Algebra, 207 (2006), 51 - 62.

7. Parametrized Families of Quadratic Number Fields with 3-Rank at Least 2 (with undergraduates C. Erickson, N. Kaplan, N. Mendoza, T. Shayler), Acta Arithmetica, 130 (2007), 141 - 147.

8. Class groups of quadratic fields of 3-rank at least 2: Effective bounds (with F. Luca), to appear in the Journal of Number Theory.

9.Quadratic, Cubic, and Sextic Number Fields with Class Number Indivisible by 3, submitted.

10. Function Fields with 3-rank at least 2, submitted.

11. Adjusted Winner in the Middle East(with undergraduates Shomik Dutta, Zach Ulman, and Noam Yuchtman), submitted.

12. Mathematics and Politics: Strategy, Voting, Power, and Proof, second edition (with Alan Taylor), Springer-Verlag, to appear 2008.