Alexei Daletskii

Dr. Alexei Daletskii is a Professor of Mathematics at the University of York, specializing in stochastic analysis, mathematical physics, and global analysis. He holds a PhD and Dr Sci from the Institute of Mathematics, Kiev, and has conducted research at the Institute of Applied Mathematics in Bonn. His current roles include membership in the Maths and Economics/Finance Combined Degree Executive Committee.

Research Overview: His work focuses on stochastic processes, stochastic differential equations, and infinite-dimensional spaces, with applications to statistical mechanics. Key areas include Gibbs measures, stochastic dynamics of infinite particle systems, and representations of quantum commutation relations. He explores phase transitions, marked point processes, and braided Fock spaces in quantum mechanics.

Recent Trends in Articles: Recent publications emphasize stochastic dynamics on manifolds, particle systems on unbounded graphs, and quantum models like anyons. His work bridges stochastic analysis with geometric and algebraic structures, addressing foundational questions in infinite-dimensional analysis.

Awards: No scientific awards explicitly mentioned.

Advising & Grants: Currently supervising Asma Alalyani (PhD student). Offers PhD projects in stochastic/functional analysis, statistical mechanics models, and representation theory of infinite-dimensional groups.

Labs/Teams: Active in the Mathematical Finance and Stochastic Analysis, and Mathematical Physics and Quantum Information research groups at York.