José A. Carrillo is Professor of the Analysis of Nonlinear Partial Differential Equations at the University of Oxford in England. His research field is Partial Differential Equations (PDE) that is constitutive for the basic language in which most of the laws in physics or engineering can be written and one of the most important mathematical tools for modeling in life and socio-economical sciences. His expertise comprises long-time asymptotics, qualitative properties and numerical schemes for nonlinear diffusion, hydrodynamic, and kinetic equations in the modelling of collective behaviour of many-body systems such as gas molecules in rarefied gases, sand beads in granular media, charge particle transport in semiconductors, synchronization of neurons in computational neuroscience or cell movement by chemotaxis or adhesion forces.