I am an assistant professor at the Faculty of Mathematics of the University Complutense of Madrid, Department of Mathematical Analysis and Applied Mathematics.
Email: miguel_garcia@ucm.es
Office 523
I am a mathematician whose research is focused in functional analysis and geometric measure theory. I have studied Morse-Sard type results, both in finite and infinite dimensions. In the second case the problem is related with the approximation of continuous functions between Banach spaces by smooth ones without critical points. The geometry of Banach spaces, convex sets, tilings, the theory of renormings and operator theory are also part of my interests. Nowadays I am also working on the theory of Sobolev extensions domains, both in the classical euclidean setting and in metric measure spaces.
