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

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

 

Selected Publications