معرفی
Alexey Kokotov is a Professor in the Department of Mathematics and Statistics at Concordia University, where his research focuses on geometric analysis of Riemann surfaces and related spectral theory.
Education
- Ph.D. from St. Petersburg State University (1992)
Research Interests
Professor Kokotov specializes in spectral geometry of Riemann surfaces with singularities, particularly conical points. His work examines determinants of Laplacians, moduli spaces, and the interplay between geometric structures and spectral invariants. This research bridges complex differential geometry, functional analysis, and mathematical physics, with applications to string theory and quantum field theory.
Recent Publications
His 2016-2024 publications demonstrate sustained focus on spectral determinants for Laplacians on singular Riemann surfaces. Key recurring themes include conical singularities, Hurwitz spaces, canonical bundles, and connections to theoretical physics. Notable contributions involve regularized determinants, Green functions on polyhedral surfaces, and spectral analysis in the context of Mandelstam diagrams for string interactions.
