(1) Global analysis and Geometrical analysis.
(2) Convexity, Differentiability, and Geometry of Banach spaces.
(3) Hipercyclicity and multilinear analysis in Banach spaces.
The research team Geometric and nonlinear functional analysis has been doing mathematics and getting national research grants for more than 20 years. During this time the team has engaged new members and broadened its research interests. Our team also includes mathematicians from Universidad Politecnica de Madrid (UPM), Universidad Autonoma de Madrid (UAM), and Universidad Nacional de Educacion a Distancia (UNED). Our current research concerns are in the interplay of three main lines: