Webpage of Michel Pain

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Current teaching

I am currently teaching with Pascal Maillard the Master 2 course Branching Processes. Handwritten notes are posted below after each lecture:

  • Lecture 7: Starting the study of extremal particles (07/01/2026).
  • Lecture 8: The logarithmic correction (14/01/2026).
  • Lecture 9: The logarithmic correction 2nd part (19/01/2026).
  • Lecture 10: Link with F-KPP equation (21/01/2026).
  • An exercise to prepare for the lecture on 28/01/2026.
  • Lecture 11: Traveling waves, back to the maximum and the derivative martingale (28/01/2026). (Be careful, there is a sign error in Exercicse 1, it should be \(u(t,x+v(\lambda)t) \to w(x)\))
  • Lecture 12: Derivative martingale and convergence of the maximum (04/02/2026).

Exam info: the exam will take place on February 18 from 9:00 to 12:00 in room U4-212. The only authorized material is a handwritten double-sided A4 sheet, where you can write whatever you want.

Last year exam: It is available here as well as its correction. However, the content of the class was slightly different last year so Exercise 3 is now out of the scope of the class (even if it is still understandable with what has been seen).

Past teaching

At Université Toulouse III - Paul Sabatier

In Spring 2023 and Spring 2024, I taught lectures and tutorials for the course Advanced Continuous Probability and Statistics. The lecture notes in French can be found here.

At NYU

During my postdoc at NYU, I taught the following classes:

  • Spring 2021: Functions of a Complex Variable.
  • Fall 2020: Discrete Mathematics.
  • Spring 2020: Theory of Probability.
  • Fall 2019: Math for Economics I.

At the ENS Paris

I taught the exercise session for the course Integration and Probability during three years. The material (in French) can be found here.