Teaching

De Giorgi’s regularity theory

I gave lectures at UC Berkeley during the fall 2025. The corresponding lecture notes are available on arXiv.

C. Imbert, De Giorgi’s regularity theory for elliptic, parabolic and kinetic equations, arXiv:2601.15238, V1, 135 p.

Analyse des EDP

Cours de M1 au département de mathématiques et applications de l’ENS sur l’analyse des EDP.

Fully nonlinear parabolic equations

I gave three lectures in Marrakech in October 2011 about Fully Nonlinear Parabolic Equations.
We then wrote with L. Silvestre complete proofs of all the results stated during these lectures (and others!).

C. Imbert and L. Silvestre, An Introduction to Fully Nonlinear Parabolic Equations.
In An Introduction to the Kähler-Ricci Flow. Lecture Notes in Mathematics 2086, Springer, 2013, pp. 7–88.

Cours d’EDP non-linéaires

Avec J. Droniou, nous avons donné un cours de M2 à l’université Montpellier II.

J. Droniou et C. Imbert, Solutions de viscosité et solutions variationnelles pour EDP non-linéaires, 2004, 80 p.