Dmitry Belyaev

Dmitry Belyaev is a Professor of Mathematics at the University of Oxford and a Tutorial Fellow at St. Anne's College. His research focuses on the intersection of analysis and probability, particularly Gaussian fields, critical phenomena, and Schramm-Loewner Evolution (SLE). He has made significant contributions to understanding the geometry of random functions, including work on zeros of random plane waves and Diffusion-Limited Aggregation models. His teaching includes advanced courses such as Metric Spaces, Complex Analysis, and Continuous Martingales.

Research Interests:

• Geometry of Gaussian fields and critical points
• Stochastic processes in complex systems
• SLE and conformal maps
• Random fractals and percolation theory
• Harmonic measure and multifractal analysis

Publications highlight studies on nodal domains, excursion sets, and critical point correlations in Gaussian fields. His work often bridges probability theory with geometric analysis, addressing questions about universality, continuity, and phase transitions. Supervised students include notable researchers in stochastic processes and mathematical physics.