Mathematics : Algebraic Number Theory (MATH 4151A/9051A)
Instructor:Duy Tan Nguyen, MC 128. Email: email@example.com.
Office hours: Mondays Wenesdays 4:30-5:30pm or by appointment.
Textbook: Milne's lecture notes: Algebraic Number Theory, which is available online here.
Additional references: P. Samuel's Algebraic theory of numbers and J. Neukirch's Algebraic Number Theory (Chapters I-II).
Prerequisites: Mathematics 4120A/B Field theory.
Course outline: The goal of the course is to cover the following basic topics: rings of algebraic integers, Dedekind rings, class groups, the two finiteness theorems: finiteness of class numbers and Dirichlet's theorem on units, cyclotomic fields, the first case of Fermat's last theorem. Other topics will be included if time permits.
Final exam: Click here.
Assignments = 60% of the final mark.
FInal exam = 40% of the final mark.