About Me

I am Professor of Mathematics at Swansea University. My research focuses on the Analysis of Nonlinear Partial Differential Equations (PDE). I use methods from the Calculus of Variations and Potential Theory to explore fundamental properties of nonlinear elliptic equations, such as existence, asymptotic decay of solutions, concentration, blow-up, and singular phenomena.

My recent work is centered around Choquard and Schrödinger-Poisson type equations and other classes of nonlinear equations with nonlocal interactions. These equations describe the collective behavior of self-interacting many-body systems at different scales, from atoms and molecules to the formation of stars and galaxies.