MATH-6180 (3) Algebraic Number Theory

Introduces number fields and completions, norms, discriminants and differents, finiteness of the ideal class group, Dirichlet's unit theorem, decomposition of prime ideals in extension fields, decomposition, and ramification groups. Department enforced prereqs., MATH 6110 and 6140. Instructor consent required for undergraduates. Requisites: Restricted to graduate students only.