Institute for applied mathematics

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


Selected Publications


The Department of Mathematics and the Hausdorff Center for Mathematics of the University of Bonn mourn over
Prof. Dr. Kazumasa Kuwada. (more)

The Universidad Politécnica de Madrid (UPM) has awarded Professor Michael Ortiz a Doctorate Honoris Causa (honorary doctorate). (10.12.2018)

Prof. Stefan Müller has been elected as Fellow of the European Academy of Sciences (15.10.2018).

Prof. Sergio Albeverio was awarded on 28/09/2018 the title Doctor Honoris Causa
at the Dept. of Mathematics, Stockholm University. (08.10.2018)

Prof. Jens Frehse (em.) hat die Golden Commemorative Medal der Fakultät für Mathematik und Physik der Karls-Universität Prag erhalten für sein außerordentliches wissenschaftliches Lebenswerk sowie für seine bedeutenden Beiträge zur Analysis Partieller Differentialgleichungen. (01.06.2018)

Die ehemalige Doktorandin am IAM, Lisa Hartung (aktuell: Courant Institute of Mathematical Sciences, New York), wurde für ihre herausragende Doktorarbeit "Extremal Processes in Branching Brownian Motion and Friends" (Betreuer: Prof. Bovier) mit dem Förderpreis der DMV-Fachgruppe Stochastik ausgezeichnet. Details hier. (14.03.2018)

Prof.  Patrik Ferrari erhält den ersten Alexandros Award zusammen mit Ivan Corwin (Columbia University) und Alexei Borodin (MIT) für den Artikel "Free energy fluctuations for directed polymers in random media in 1+1 dimensions".
Details siehe hier. (12.03.2018)


Managing Director: Prof. Dr. Massimiliano Gubinelli
Chief Administrator: Dr. B. Doerffel
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Mailing address

Institute for Applied Mathematics
University of Bonn
Endenicher Allee 60
D-53115 Bonn / Germany