Expository Papers

1. Dirichlet's prime number theorem: Algebraic and analytic aspects, The Harvard College Math Review 1, no. 1, 15-29 (2007) (pdf)

2. The Brauer group of a field (pdf)

3. A proof of the Kronecker-Weber Theorem (pdf)

4. On Bézout's theorem and some of its applications (pdf) 

5. Elliptic functions and elliptic curves (pdf) 

6. Elliptic Curves with Complex Multiplication and Kronecker's Jugendtraum (pdf)

7. An arithmetic Riemann-Roch-Grothendieck theorem (pdf)