Education |
- B.S. and M.S. in Mathematics (Numerical Analysis), Universidad del País Vasco UPV/EHU, 1988. - D.E.A. d'Analyse Numérique, Laboratoire d'Analyse Numérique J.L. Lions, Université Pierre et Marie Curie - Paris VI (now Sorbonne Universités), 1989. - Ph.D. in Mathematics, Laboratoire d'Analyse Numérique J.L. Lions, Université Pierre et Marie Curie - Paris VI, 1993. Advisor: A. Haraux - Habilitation as Full Professor of Applied Mathematics, MEC, Spain, 2004. |
Professional appointments |
- Predoctoral researcher, Laboratoire J.L. Lions, Université Pierre et Marie Curie - Paris VI, Sept. 1988 - Feb. 1992. - Assistant Professor, Departamento de Matemática Aplicada, UCM, Feb. 1992 - Sept. 1994. - Postdoctoral Researcher, Oxford Center for Industrial and Applied Mathematics (OCIAM), University of Oxford, Feb. 1996 - Feb. 1997. - Associate Professor of Applied Mathematics, Departamento de Matemática Aplicada, UCM, Sept. 1994 - Jan. 2006. - Director, Research Group 'Mathematics applied to physical and biological systems', UCM, 2005 - Present. - Professor of Applied Mathematics, Departamento de Matemática Aplicada, UCM, Jan. 2006 - Present. - Member, Gregorio Millán Institute of Fluid Dynamics, Nanoscience and Industrial Mathematics, UC3M, 2007-Present. |
Visiting positions |
- Visiting Scholar, Stanford University, Palo Alto (California, USA), March - July, 2010. - Visiting Scholar, Harvard University, Cambridge (Massachussets, USA), February - July, 2012. - Visiting Researcher, University of Iceland, (Reikiavik, Iceland), July 2014, July 2015. - Visiting Researcher, Institut Henri Poincaré, Paris (France), May - June 2017. - Long term visitor, The Fields Institute, Toronto (Canada), April - May 2018. - Visiting Scholar, Courant Institute, New York University, New York (USA), September 2018 - August 2019. |
Honors and Awards |
- Award to the best PhD Thesis in the Facultad de Matemáticas, UCM, 1993. - SEMA (Spanish Society for Applied Mathematics) Prize for young researchers, 1998. - Madrid-MIT Vision program mention for innovative ideas in Biomedicine 2013. - Winning project in the Repsol Inspire program 2013. |
Some research projects |
- Mathematical models and techniques for biomedical applications, MICINN. - Matemática aplicada a modelos físicos y biológicos, CAM/UCM. |
Service in Committees |
CNEAI (2008-09, 2022-23), ANECA (2008-17), ESF (2018-present), ECMI (2020-2023) |
Societies |
SEMA, EMS, SIAM |
Main Fields |
Numerical analysis, Modeling and Simulation, Partial differential equations, Nonlinear analysis |
Current research Interests |
- Imaging and inverse problems - Optimization and data treatment - Pattern formation in bio and nanosystems - Mathematical models in biomedicine - Mathematical models of defects in nanostructures - Multiscale techniques - Nonlinear wave dynamics - Dynamics of line singularities - Asymptotic behavior in partial differential equations and kinetic equations |
Some research links |
- Oxford Center for Industrial and Applied Mathematics OCIAM, University of Oxford - Laboratoire d'Analyse Numérique J.L. Lions, Université Paris VI (Paris Sorbonne) - Gregorio Millán Institute of Fluid Dynamics, Nanoscience and Industrial Mathematics UC3M - School for Engineering and Applied Sciences (SEAS), Harvard University - Mathematics, Stanford University - Mathematics, UC Santa Barbara - Mathematics, UC Berkeley - Mathematics, Duke University - Computational and Applied Mathematics UCLA - Courant Institute, New York University |