Mathematics : Algebraic Number Theory (MATH 4151A/9051A)

Fall 2013



Instructor: Duy Tan Nguyen, MC 128. Email: dnguy25@uwo.ca.

Time: Mondays Wednesdays Fridays: 9:30-10:30am. Class room: MC 106.

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.

Assignments:

  • Assignment 1.
  • Assignment 2.
  • Assignment 3.
  • Assignment 4.
  • Assignment 5.
  • Final exam: Click here.

    Evaluation:

    Assignments = 60% of the final mark.

    FInal exam = 40% of the final mark.


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