May 2017, Notre-Dame de Paris. |

Department of Mathematics

Colgate University

M.S. '10, Ph.D. '13, Cornell University

**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)

**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.