NSF Postdoctoral Fellow at the Courant Institute,

sponsored by Vlad Vicol

Email: bill@cprmn.org

I like to study the large-scale structure of discrete, random, or periodic objects using PDE methods.

I recently graduated from the University of Chicago, where I was fortunate to be advised by Professor Charles Smart.

Here's my CV.

- Exponential scalar mixing for the 2D Navier-Stokes equations with degenerate stochastic forcing

with Keefer Rowan - A Harris theorem for enhanced dissipation, and an example of Pierrehumbert

with Gautam Iyer and Seungjae Son - Unique continuation on planar graphs

with Ahmed Bou-Rabee and Shirshendu Ganguly - Rigidity of harmonic functions on the supercritical percolation cluster

with Ahmed Bou-Rabee and Paul Dario - Slow periodic homogenization for Hamilton-Jacobi equations

in Communications in Partial Differential Equations. - Exponential mixing by shear flows

in SIAM Journal on Mathematical Analysis. - On the random G equation with nonzero divergence

in Calculus of Variations and PDE. - Quantitative stochastic homogenization of the G equation

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

in Archive for Rational Mechanics and Analysis.