Teaching

Master course on polynomial automorphism of the plane

• Lecture notes updated regularly (in french): pdf.
• Exercises:
  • Session 1.
  • Session 2.
  • Session 3.
  • Session 4.
  • Session 5.
  • Session 6.
  • Session 7.
  • Session 8.
  • Session 9.
  • Session 10.
  • Session 11.
  • Session 12.

Cryptography graduate course - Algorithms on polynomials, lectures and exercise session

• Exercise session
• Exercise sheet on graph theory 1
• Exercise sheet on graph theory 2
• Exercise sheet on fast multiplication of polynomials
• Exercise sheet on formal power series
• Exercise sheet on fast evaluation and interpolation algorithm
• Exercise sheet on resultant
• Practical sessions
• Practical session on fast multiplication of polynomials
• Practical session on formal power series and fast euclidian division
• Practical session on fast evaluation and interpolation algorithms

Courses for the agrégation.

• Lecture on field extensions
• Lecture on finite fields
• Lecture on finitely generated abelian groups [Answers for the exercises]
• Lecture on topology of set of matrices