George Wells Beadle Distinguished Service Professor
Departments of Mathematics, Statistics, and the College
B.A., 1976, University of Virginia; Ph.D., 1979, Princeton University
Random walks and continuous analogues (Brownian motion and diffusions) with a special emphasis on processes arising in statistical physics such as self-avoiding random walk, loop-erased random walk (uniform spanning trees), and percolation. Conformally invariant quantities such as Schramm-Loewner evolution (SLE), Gaussian free field (GFF), and loop measures in two dimensions.
Applications of probability to other areas of mathematics, in particular, complex analysis.