Vitaly Moroz

Vitaly Moroz is a Professor of Mathematics at Swansea University, specializing in the analysis of nonlinear partial differential equations (PDEs) and calculus of variations. His research investigates nonlocal interactions in equations such as the Choquard and Schrödinger-Poisson-Slater types, focusing on existence, decay, concentration, and blow-up phenomena in solutions.

• Department of Mathematics, Swansea University
• Research areas: Nonlinear PDEs, Calculus of Variations, Potential Theory, Nonlocal Equations

His work connects mathematical models to physical systems, from quantum mechanics (graphene charge screening) to cosmology (formation of stars and galaxies). Recent publications emphasize asymptotic profiles for nonlocal equations and critical phenomena in nonlinear problems.

He has held significant administrative roles, including Head of Department (2021-2024), and actively contributes to editorial boards (e.g., Philosophical Transactions of the Royal Society A, Proceedings of the Royal Society of Edinburgh: Section A Mathematics). Moroz has organized international workshops on PDEs and delivered invited talks across Europe, Asia, and the Americas.