Algebraic numbers, cyclotomic fields, low dimensional Galois cohomology, Brauer groups, quadratic forms, local and global class fields, class field theory, Galois group representations, modular forms and elliptic curves, zeta function and L-series.

Prerequisite(s): Mathematics 4120A/B; Mathematics 3151A/B strongly recommended but not required.

Extra Information: 3 lecture hours.