Mathematics 129

Number Fields (115734)

Mark Kisin

2027 Spring (4 Credits)

Schedule: MF 0130 PM - 0245 PM

Instructor Permissions: None

Enrollment Cap: n/a

This course is an introduction to algebraic number theory. Topics will include unique factorization in rings of integers, finiteness of the class group and the Dirichlet unit theorem. There will also be applications of these results to solve Diophantine equations. We will also study p-adic fields, and if time permits, adeles.

Recommended Prep:

Knowledge of the material in Mathematics 123.

Requirements:

Prerequisite: Mathematics 123.

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