Probability and Stochastics

Study of random curves, surfaces and other random geometric structures, that help to geometrically encode and describe the large-scale behaviour of complex systems like, for example, 2D statistical physics models
Probability theory, Stochastic Processes, Stochastic Analysis, Stochastic Partial Differential Equations, Stochastic Control
Mathematical physics, probability, statistical mechanics, field theories, conformal symmetry, complex analysis, lattice models, exactly solvable models, neural networks.
Brownian Sheet – Brownian Motion.
Development of statistical methodology, investigation of probability models and analysis of data that arise in natural sciences.