Welcome to my webpage. I am a Professor of Mathematical Analysis with the Universidad Complutense de Madrid. In the last few years my research has been focused on smooth approximations and extensions of convex functions.

For instance, is it true that every convex function on \mathbb{R}^{n} coincides, up to a subset of arbitrarily small measure, with a convex function of class C^2? Also, given a set C\subset\mathbb{R}^n and a collection of affine hyperplanes \{H_p\}_{p\in C} with p\in H_p for every p\in C, what conditions are necessary and sufficient for the existence of a C^1 convex hypersurface S\subset\mathbb{R}^n} such that H_p is tangent to S at p for every p\in C?

If you browse through my papers you may find some answers to these questions as well as some information about other related problems.

If you are a student, you may find material pertaining to the classes I teach.