معرفی
Professor Eugene Lytvynov is a mathematician affiliated with Swansea University's School of Mathematics and Computer Science. He holds the academic rank of Professor in the Mathematics department. His research focuses on infinite-dimensional analysis, point processes, noncommutative probability, and umbral calculus. Recent work explores non-Abelian anyon quasiparticles and basis-free umbral calculus. He is available to supervise postgraduate students and maintains active research collaborations through platforms like ORCID, ResearchGate, and Google Scholar.
His expertise spans advanced mathematical fields including stochastic processes, quantum probability, and operator algebras. Key research areas include the analysis of Radon measures, quasi-free states, and commutation relations in multicomponent systems. He has contributed extensively to the study of determinantal point processes, particle-hole transformations, and Fock space representations.
Professor Lytvynov's publications reflect a strong emphasis on theoretical frameworks, with notable work on Segal-Bargmann transforms, Stirling operators, and Meixner-class orthogonal polynomials. His research often bridges pure mathematics and quantum physics, addressing topics like anyon statistics and non-Gaussian white noise calculus.
He is accessible via email at e.lytvynov@swansea.ac.uk and can be reached at the Computational Foundry, Bay Campus. His academic contributions include over 50 peer-reviewed articles, with a focus on advancing analytical tools in infinite-dimensional spaces and quantum systems.
