Graduate student in mathematics

Office: Eckhart E12

Email: billc@uchicago.edu

Broadly speaking, I'm interested in studying the large-scale structure of discrete, random, or periodic objects using PDE methods.

I'm fortunate to be advised by Professor Charles Smart.

Here's my CV.

- Rigidity of harmonic functions on the supercritical percolation cluster, with Ahmed Bou-Rabee and Paul Dario
- Slow periodic homogenization for Hamilton-Jacobi equations
- Exponential mixing by shear flows
- On the random G equation with nonzero divergence
- Quantitative stochastic homogenization of the G equation

To appear in in Probability Theory and Related Fields. - A near-optimal rate of periodic homogenization for convex Hamilton-Jacobi equations.

Arch Rational Mech Anal**245**, 809–817 (2022).