Ana Carpio, Applied Mathematics - Short 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), ANECA (2008-17), ESF (2018-present), ECMI (2020-present)

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
  • Laboratoire d'Analyse Numérique J.L. Lions  Paris VI
  • Gregorio Millán Institute of Fluid Dynamics, Nanoscience and Industrial Mathematics UC3M
  • School for Engineering and Applied Sciences (SEAS), Harvard
  • Mathematics, Stanford
  • Mathematics, UC Santa Barbara
  • Mathematics, UC Berkeley
  • Mathematics, Duke
  • Computational and Applied  Mathematics UCLA
  • Courant Institute, NYU

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last modified: 30-Mar-2022