Course Description

Mathematics 411a/b Algebraic Number Theory

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.

Antirequisite: The former Mathematics 311b.

Prerequisite: Mathematics 403a/b; Mathematics 313a/b strongly recommended but not required.

3 lecture hours, half course.

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