Teaching

Integrable Probability and the Kardar-Parisi-Zhang universality class

M2 course in PSL Master MATH . Lectures are at ENS in the Spring. The plan of the course is (subject to change)

  1. Introduction to the KPZ equation and universality class
  2. Schur measures and processes
  3. Determinantal point processes
  4. The stochastic six-vertex model and Hall-Littlewood polynomials
  5. KPZ equation
  6. Random walks in random environment

Some preliminary lecture notes are accessible here.
Additional material can be found in this Dropbox folder. The password to access the files is the last name of the German mathematician after whom the classroom is named, starting with a capital letter.

Schedule 2026

Date Topic
February 3, 2026 Lecture 1: Introduction
February 10, 2026 Lecture 2: Schur measure
February 17, 2026 Lecture 3: Determinantal point processes
February 24, 2026 Lecture 4: Asymptotic analysis
March 3, 2026 Lecture 5: Yang–Baxter equation and Hall–Littlewood polynomials
March 10, 2026 Lecture 6: KPZ equation
March 17, 2026 Lecture 7: TBD
March 24, 2026 Lecture 8: TBD
March 31, 2026 Exam

Practical Information 2026

The course is given in room Noether on Tuesdays 15:45 -- 18:45. The room is located on the level -2 of building Rataud at école normale supérieure (45 rue d'Ulm 75005 PARIS), i.e. under the maths department (directions).