Professor in the Analysis of Nonlinear Partial Differential Equations
Mathematical Institute, University of Oxford
Fellow in Applied Mathematics, The Queen’s College
Research Topics:
- Kinetic equations: asymptotic behavior, modelling and numerical simulation.
- Nonlinear diffusion equations: asymptotic behavior and qualitative properties.
- 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…
- Numerical methods for nonlinear conservation laws.
Some News:
- An interview about our 2022 Kinetic Program at the INI.
- I was honoured to be included in the Siam Fellow Class 2019.
- You can listen to my Inaugural Lecture at Imperial College to understand part of my research.
- Some recent talk at Simon Fraser University on Repulsive-Attractive models.
- An interview about the 2018 Year of Mathematical Biology.
- An article in El Pais about computational neuroscience.
- A wide audience talk during the Spanish National Day celebration online at the Spanish Embassy in London on 2020 (1h:06m).
- A wide audience talk at The Queen´s College Symposium.
- 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.
- My Proust Test for the SIMAI.
Projects:
- 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.
- DMS-EPSRC: Stability Analysis for Nonlinear Partial Differential Equations across Multiscale Applications May 2022 – May 2025. Principal Investigator: Gui-Qiang Chen, Co-I: José A. Carrillo. Web Page Activities Project.
- 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.
- International Exchanges Scheme of the Royal Society-Chile, June 2022 – June 2024.
- 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.
- EPSRC Grant: Nonlinear Nonlocal Aggregation-Diffusion Partial Differential Equations and Applications, March 2013 – March 2016.
- Royal Society Wolfson Research Merit Award, October 2012 – September 2017.
- 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.
- 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.
- 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.
- 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 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–.
- Editorial Board of Communications in Mathematical Analysis and Applications, 2021–.
- Editorial Board of Journal of Evolution Equations, 2022–
- Editorial Board of Journal of Nonlinear Science, 2023–
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.
- Editorial Board of Royal Society Open Science, 2016–2023.
Awards and Recognition:
- SeMA Young Researcher Prize 2003.
- Richard von Mises Prize of the International Association of Applied Mathematics and Mechanics (GAMM) 2006.
- Royal Society Wolfson Research Merit Award 2012.
- 2016 SACA award for best supervisor.
- Member of the European Academy of Sciences since 2018.
- Changjiang Visiting Scholar, Ministry of Education of China, 2018-2021.
- Siam Fellow Class 2019.
- Foreign Member of the Royal Academy of Sciences of Spain since 2021.
- Echegaray Medal 2022 of the Royal Academy of Sciences of Spain.
Committee Members:
- Scientic and Program Committee of BIRS (Canada), 2022-.
- Comité Científico y Técnico de la Agencia Estatal de Investigación (Spain), 2021-2024.
- Vicepresident of the European Society for Mathematical and Theoretical Biology, 2021-2023.
- Head of the Division of Mathematics of the European Academy of Sciences 2020-2022.
- Program Officer of the SIAG in Analysis of PDEs 2019-2020.
- Chair of the Year of Mathematical Biology 2018.
- Chair of the Applied Mathematics Committee of the European Mathematical Society, 2014-2017.
- Member of the Applied Mathematics Committee of the European Mathematical Society, 2010-2013.
- Member of the ECMI Council, 2005- October 2012.
Science Policy:
- Member of the Science Policy Committee of the SRUK/CERU.
- Informe de Recomendaciones sobre la I+D en España para las Elecciones Generales SRUK.
- Taller: CienciaUK 2015. La carrera investigadora y alternativas profesionales en Reino Unido. Fundación Ramón Areces, Madrid 27 de Noviembre de 2015.
- Member of EU-MATHS-IN.
Research News:
- Sergio Pérez: UROP Student Departamental Award 2015.
- Franca Hoffmann: Imperial College Student Award for Outstanding Achievements 2017.
- Sergio Pérez: Imperial College Student Award for Outstanding Achievements 2019.
- Carles Falcó: Matemáticas para explicar cómo se unen las células, Café y teoremas, El País 2023.
Jose Antonio Carrillo 