CV

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