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Research Topics:
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Kinetic equations: asymptotic behavior, modelling
and numerical simulation.
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Nonlinear diffusion equations: asymptotic behavior
and qualitative properties.
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Applications of kinetic equations: charged particles
transport in semiconductors and plasmas, rarefied gas dynamics, granular
gases...
- Kinetic and Diffusive Models in Mathematical Biology: chemotaxis, swarming and flocking, computational neuroscience...
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Numerical methods for nonlinear conservation laws.
You can also listen to the 3-minute Thesis competition at Imperial College by my PhD student Franca Hoffmann.
I won the 2016 SACA award for best supervisor nominated by my own PhD students!!
An interesting discussion with diplomats of the Spanish Embassy in London.
Projects:
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ERC Advanced Grant 2019: Nonlocal-CPD (Nonlocal PDEs for Complex Particle Dynamics: Phase Transitions, Patterns and Synchronization)
of the European Research Council Executive Agency (ERC) under the European Union's Horizon 2020 research and innovation programme (grant agreement No. 883363), October 2020 - October 2025.
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EPSRC Grant: Nonlocal Partial Differential Equations: entropies, gradient flows, phase transitions and applications,
September 2017 - March 2021. Principal Investigator: Greg Pavliotis,
Co-I: José A. Carrillo.
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EPSRC Grant:
Spectral element methods for
fractional differential equations, with applications in applied
analysis and medical imaging, July 2021 - July 2024. Principal Investigator:
Sheehan Olver, Co-I: José A. Carrillo.
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- International Exchanges Scheme of the Royal Society-CNRS, March 2014 - June 2016.
- International Exchanges Scheme of the Royal Society-Japan, August 2015 - August 2017.
- International Exchanges Scheme of the Royal Society-HongKong, May 2017.
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KI-net,
Kinetic description of emerging challenges in multiscale problems of natural sciences,
NSF Research Network in Mathematical Sciences, 2012-2016. Node: University of Cambridge.
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Proyecto MICINN MTM2011-27739-C04-02/MTM: Ecuaciones en derivadas parciales en
Física y Biología-Matemática: modelos micro y macroscópicas. Principal Investigator till October 2012. January 2012-December 2015.
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Proyecto MTM2014-52056-P: EDPs no locales para sistemas de partículas: análisis y simulación numérica. Principal Investigator: José A. Cañizo. Participating Foreign Investigator. January 2015-December 2017.
Editorial Board Member:
- Editorial Board of Kinetic
and Related Models, 2008--.
- Editorial Board of Publicacions Matemàtiques, 2009--.
- Editorial Board of Rivista Matematica della Università di Parma, 2010--.
- Editorial Board of SIAM Journal on Mathematical Analysis (SIMA), 2010--.
- Editorial Board of
AIMS Book Series in Applied Mathematics, 2011--.
- Editorial Board of
Discrete and Continuous Dynamical Systems - Series A (DCDS-A), 2013--.
- Editorial Board of Journal of the London Mathematical Society, 2013--.
- Editorial Board of Bulletin of the London Mathematical Society, 2013--.
- Editorial Board of
Interfaces and Free Boundaries: Mathematical Analysis, Computation and Applications, 2014--.
- Editorial Board of Journal of Elliptic and Parabolic Equations, 2014--.
- Editorial Board of Advances in Differential Equations, 2015--.
- Editorial Board of
Communications in Contemporary Mathematics, 2016--.
- Editorial Board of
SeMA Journal, 2016--.
- Editorial Board of
Royal Society Open Science, 2016--.
- Editorial Board of Transactions of Mathematics and its Applications: A Journal of the IMA, 2017--.
- Editorial Board of Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2017--.
- Editorial Board of
De Gruyter Series in Applied and Numerical Mathematics, 2017--.
- Editorial Board of
Quarterly of Applied Mathematics, 2018--.
- Editorial Board of
Boletín de la Sociedad Matemática Mexicana, 2018--.
- Editorial Board of
Advances in Nonlinear Analysis, 2021--.
- Editorial Board of Networks
& Heterogeneous Media, 2021--.
Past Editorial Boards:
- Editorial Board of Mathematics, 2013-2014.
- Editorial Board of Proceedings of the London Mathematical Society, 2013--2019.
- Editorial Board of Nonlinear Analysis and Differential Equations, 2015--2020.
- Editorial Advisory Board of Open Mathematics, 2018--2019.
- Editorial Board of Acta Applicandae Mathematicae, 2010--2020.
Awards and Recognition:
Committee Members:
Science Policy:
Research News:
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