The Boltzmann equation and partial differential equations


(Update August 2026: The course wrapped up in May, and I am rather behind in transcribing my notes, I will be uploading them here throughout the fall until all 26 lectures are transcribed)

For the Spring semester I will be teaching a graduate topics course at Courant -- the official class title is "Regularity Theory for Parabolic and Kinetic PDE". I am taking this as an opportunity to retake the habit of writing about mathematics in here. This page will serve as a repository of all the posts about the course.

Here is the first day handout.

I will be updating this page with lecture notes and some references.

Lectures