MATH-482 / 5 credits

Teacher: Michel Philippe

Language: English


Summary

Algebraic number theory is the study of the properties of solutions of polynomial equations with integral coefficients; Starting with concrete problems, we then introduce more general notions like algebraic number fields, algebraic integers, units, ideal class groups...

Content

Keywords

Rings, Fields, integers, ideals, lattices

Learning Prerequisites

Required courses

MATH-215

Recommended courses

MATH-311

MATH-313

MATH-317

 

Learning Outcomes

By the end of the course, the student must be able to:

  • Quote the main results of the course
  • Use the main results of the course
  • Prove the main results of the course

Teaching methods

ex-cathedra

Expected student activities

attendance to the course and active participation to the exercises sessions

Assessment methods

written exam

Supervision

Assistants Yes
Others moodle page

Resources

Notes/Handbook

a pdf of the course will be provided

Moodle Link

Prerequisite for

MATH-417

MATH-489

MATH-494

Fields medal

In the programs

  • Semester: Fall
  • Exam form: Written (winter session)
  • Subject examined: Number theory I.a - Algebraic number theory
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks

Reference week

 MoTuWeThFr
8-9     
9-10     
10-11     
11-12     
12-13     
13-14     
14-15     
15-16     
16-17     
17-18     
18-19     
19-20     
20-21     
21-22     

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