My research area is the study of partial differential equations, my particular interest concerns the analysis of problems motivated by applications in Physics and Biology. In particular, I am interested in the study of models of cellular aggregation induced by chemotaxis. In recent times I became interested in the study of aggregation of biological organisms induced by nondiffusive cell to cell interactions.
I am also interested in the study of kinetic equations with particle fluxes between the different regions of the phase space characterizing the system.
Academic Career and Awards
|1990||PhD in Mathematics, Universidad Complutense, Madrid|
|1991–1992||Postdoctoral stay, IMA, University of Minnesota|
|1992–1997||Associate Professor at the Applied Mathematics Department, Universidad Complutense, Madrid|
|1997–2008||Full Professor at the Applied Mathematics Department, Universidad Complutense, Madrid|
|2008–2011||Research Professor at Instituto de Ciencias Matematicas, CSIC, Madrid|
|2011–||Full Professor (W3), Bonn|
|2005||A. v. Humboldt-J. C. Mutis Research Award (Alexander von Humbouldt Foundation)|
Selected invited Lectures
|1999||Keynote speaker in the Equadiff Congress, Berlin|
|2006||PDE session of the International Congress of Mathematicians (Madrid)|
|2007||Keynote speaker in the Equadiff Congress, Vienna|