# Topics in Number Theory: A Journey Towards the Herbrand-Ribet Theorem

MAT 419

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A course in algebraic number theory, consisting of two topics. The first topic is the algebraic number theory behind the statement of the Herbrand-Ribet theorem: number fields and their integer rings, local fields, global fields, the statement of class field theory. The second topic is one of the following five: The proof of the Herbrand-Ribet theorem, a proof of class field theory, the theory of cyclotomic fields, quadratic forms and higher composition laws (Bhargava 2001), or the basic theory of elliptic curves.

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## Section C01

- Type: Class
- Section: C01
- Status: O
- Enrollment: 6
- Capacity: 24
- Class Number: 42435
- Schedule: TTh 01:30 PM-02:50 PM - Fine Hall 601