Prof. Velázquez
Research Interests
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 |
Special Award
| 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 |
