Mathematics Division

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 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 behaviour. His main scholarship contributions in Analysis of PDEs are in aggregation-diffusion problems: 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, control engineering and global optimization.He served as chair of the Applied Mathematics Committee of the European Mathematical Society 2014-2017. He was the 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 Foreign Member of the Royal Academy of Sciences of Spain in 2021 and SIAM Fellow Class in 2019. 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 2012-2017. He has been awarded an ERC Advanced Grant 2019 to pursue his investigations in complex particle dynamics: phase transitions, patterns, and synchronization.