I study differential geometry; my focus is on sub-Riemannian geometry, index theory, stochastic analysis, and the intersection of these fields.
On the blog page, I post some notes on my research, comments about conferences I’ve had the opportunity to attend, as well as expository and lecture notes. Please feel welcome to leave comments; you can also subscribe to periodically receive emails when new posts go up.
The research page is a compilation of the various talks I’ve given, conferences I’ve attended, and papers I’ve written, among other things.
The teaching page is a short list of past classes I’ve taught, as well as an expanding list of resources for students.