MATH-337 / 5 credits

Teacher: Richter Florian Karl

Language: English


Summary

This is an introductory course to combinatorial number theory. The main objective of this course is to learn how to use combinatorial, probabilistic, and analytic methods to solve problems in number theory.

Content

Keywords

Combinatorial number theory, additive combinatorics, arithmetic combinatorics, additive number theory, Ramsey theory

Learning Prerequisites

Required courses

first year math courses

Learning Outcomes

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

  • Apply tools from combinatorics, probability theory, and discrete harmonic analysis to solve problems in number theory
  • Prove results in additive combinatorics and Ramsey theory

Transversal skills

  • Use a work methodology appropriate to the task.
  • Continue to work through difficulties or initial failure to find optimal solutions.
  • Demonstrate a capacity for creativity.
  • Demonstrate the capacity for critical thinking

Teaching methods

lectures in hybrid form, exercise sessions with the teaching assistant in hybrid form

Assessment methods

Written homework assignments, written final exam

Supervision

Office hours Yes
Assistants Yes
Forum No

Resources

Notes/Handbook

Lecture notes will be provided

Moodle Link

In the programs

  • Semester: Fall
  • Exam form: Written (winter session)
  • Subject examined: Combinatorial 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  GCD0386  
9-10    
10-11  GCD0386  
11-12    
12-13     
13-14     
14-15     
15-16     
16-17     
17-18     
18-19     
19-20     
20-21     
21-22     

Wednesday, 8h - 10h: Exercise, TP GCD0386

Wednesday, 10h - 12h: Lecture GCD0386