May 2017, Notre-Dame de Paris.
Research interests: Probability, Analysis and Mathematical Physics on graphs, resistance spaces, and metric measure spaces, such as fractals.
Most recently I have been studying the scaling limits of discrete stochastic processes which are many-particle extensions of the (simple) random walk process, such as the exclusion process, sandpile models, and internal diffusion-limited aggregation, on weighted graphs. I also continue to study spectral aspects of Laplace or Schrodinger operators on self-similar spaces, with applications to PDEs, quantum mechanics, and statistical mechanics.
Some pictures (click on the image to see the relevant paper)
6th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals (June 13-17, 2017).
NEW! Summer '17: Research tutorials & lectures at Cornell and Bielefeld. Side project: Math doodles in Paris.
The origins of "toothpaste university." See also Colgate's graduate school of dentistry, which has an application deadline of April 1. Apply now!
I rarely pick sides on the Yale-UConn rivalry or the Cornell-Colgate rivalry. I will, however, use math humor to defuse the rivalries.