Dr. Dmitry Chelkak

Biography

Dmitry Chelkak is a Keeler Professor at the University of Michigan, specializing in the fields of Probability Theory, Mathematical Physics, and Analysis. His research interests include the interplay between complex analysis and probability, particularly focusing on two-dimensional discrete models, such as the critical and near-critical lattice models, planar Ising dimer models, and planar random walks like the loop-erased random walk (LERW) and uniform spanning tree (UST). On the continuous side, he is generally interested in Schramm-Loewner evolution (SLE) curves, conformal loop ensembles (CLE), and related concepts found in Gaussian Free Field (GFF), Liouville Quantum Gravity (LQG), and conformal field theory (CFT). He has also contributed to studying isomonodromic tau-functions and Dirac operators in the context of surfaces in three- and four-dimensional Minkowski spaces, as well as the spectral theory of Schrödinger operators in one-dimensional systems.

Research Interests

Experience