I am a Professor of Mathematics at the Universidade Federal da Paraíba (UFPB), João Pessoa, Brazil. My research focuses on geometric and analytical techniques for partial differential equations (PDEs) and free boundary problems (FBPs), in particular on regularity of solutions and of free boundaries. My work combines analysis, PDE theory, and geometric methods with applications in stability and numerical modelling. Topics of interest: nonlinear elliptic and parabolic PDEs, infinity Laplacian, regularity estimates, geometric analysis, and free boundary problems.