MATH-337 / 5 crédits

Enseignant: Richter Florian Karl

Langue: Anglais


Summary

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

Content

Keywords

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

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
  • Transpose ideas from analysis and number theory

Transversal skills

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

Teaching methods

Weekly leactures, weekly exercises classes, weekly homework assignments

Expected student activities

Paritcipation in lectures and exercise calsses

Assessment methods

25% written homework assignments, 75% written final exam

Supervision

Office hours No
Assistants Yes
Forum Yes

Resources

Notes/Handbook

Lecture notes will be provided

Moodle Link

Dans les plans d'études

  • Semestre: Automne
  • Forme de l'examen: Ecrit (session d'hiver)
  • Matière examinée: Number theory I.c - Combinatorial number theory
  • Cours: 2 Heure(s) hebdo x 14 semaines
  • Exercices: 2 Heure(s) hebdo x 14 semaines

Semaine de référence

 LuMaMeJeVe
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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