Mathematics 129

Introduction to Algebraic Number Theory

Some Student Final Projects

 

Balakrishnan ell-adic Representations and the Chebotarev Density Theorem
Bloom The Local-Global Principle for Conics
Escott Elliptic Curves
Getz Summary of the CM Theory of Elliptic Curves
Hamburg Construction of Cp and extensions of p-adic valuations to C
[updated 2004-10-11] See also Verrill's Page (search for Hamburg).
Li An Explicit Construction of Abelian Extensions via Formal Groups
Price Difference Sets and Algebraic Number Theory: An Exposition of Some Results of Schmidt
Schoenebeck Binary Quadratic Forms: Correspondence and Composition
Sinnott The Local-to-Global Principle for Quadratic Forms
Weissman Dirichlet’s Theorem on Primes in an Arithmetic Progression
Zakharevich Dirichlet’s Theorem on Primes in an Arithmetic Progression (yes, same title as Weissman's, but different approach and notation)