José A. Carrillo is currently Professor of the Analysis of Nonlinear Partial Differential Equations in the Mathematical Institute at the University of Oxford and Tutorial Fellow in Applied Mathematics at The Queen's College. He previously held academic positions at Imperial College London, Universitat Autònoma de Barcelona, and Universidad de Granada, where he did his PhD.
He works on kinetic equations, nonlinear nonlocal diffusion equations. He has contributed to the theoretical and numerical analysis of PDEs, and their simulation in different applications such as granular media, semiconductors and lately in collective behavior. His main scholarship contributions in Analysis of PDEs are in nonlinear Fokker-Planck type equations; the use of optimal transport techniques and entropy methods to analyse theoretically and numerically gradient-flow structures for PDEs and their singularities; the analysis of kinetic models for self-organization, and their implications in mathematical biology and global optimization.
He served as chair of the Applied Mathematics Committee of the European Mathematical Society 2014-2017 and chair of the 2018 Year of Mathematical Biology. He was the Program Director of the SIAM activity group in Analysis of PDE 2019-2020. He has been elected as member of the European Academy of Sciences, Section Mathematics, in 2018 and SIAM Fellow Class 2019. He is currently the head of the Division of Mathematics of the European Academy of Sciences.
He was recognised with the SEMA prize (2003) and the GAMM Richard Von-Mises prize (2006) for young researchers. He was a recipient of a Wolfson Research Merit Award by the Royal Society 2012. He was awarded the 2016 SACA award for best PhD supervision at Imperial College London. He has been Highly Cited Researcher 2015-2020 by Web of Science. He has been awarded an ERC Advanced Grant 2019 to pursue his investigations in complex particle dynamics: phase transitions, patterns, and synchronization.
- Geometric Methods in Optimization and Sampling, Fall 2021. Visiting Scientist.