Dmitry Chelkak

I am interested in the interplay of complex analysis, probability, and statistical physics in 2d. On the discrete side, I work on critical and near-critical lattice models, notably planar Ising and dimer models, as well as planar random walks and LERW/UST. On the continuous side, I am generally interested in SLE curves, conformal loop ensembles (CLE), and related objects/theories such as GFF, LQG, and CFT. Related topics that recently appeared in my work are isomonodromic tau-functions and Dirac operators on surfaces in three- and four-dimensional Minkowski spaces. Before moving to this field, I also did some research on spectral theory of Schrodinger operators in 1d.