I am interested in Partial Differential Equations (PDE), with a significant part of my work focusing on the application of computer-assisted techniques. I have worked in Analysis of Fluids, Dispersive PDE and Elliptic Overdetermined Problems, using computer assistance to prove existence of certain solutions or their stability properties. In particular, I have devoted an important part of my work to study existence and stability of self-similar solutions, which are classical candidates for singularity formation mechanisms, but very little is known about them in a lot of relevant PDE.