July 2017, atop Edinburgh Castle. |

(Click on image for more travels in Summer 2017) |

'17: Berlin | Bielefeld | Bonn | London | Paris || Bielefeld '16 || Bonn '12. |

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 Schrödinger operators on self-similar spaces, with applications to PDEs, quantum mechanics, and statistical mechanics.

**My research in pictures:** Click on the image to see the relevant paper on arXiv.

**Teaching (Fall '17):** MATH 163 A: Calculus III, and MATH 214 A/B: Linear Algebra.

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.