July 2017, atop Edinburgh Castle.
(Click on image for more travels in Summer 2017)
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.