Research interests in Johannes Zimmer’s group include partial differential equations and their underlying particle models. One focus is on scale-bridging from stochastic many-particle systems to partial differential equations which describe the collective behaviour of such systems. A particular interest of our group is the thermodynamic formulation of the resulting equations in terms of evolution of energy and entropy, including variational formulations related to large deviation theory.  We are particularly fascinated by equations of fluctuating hydrodynamics, which describe fluctuations (small deviations) around the limit equation. We study these equations analytically, and utilise their structure in machine learning to infer evolution equations in form of partial differential equations from particle data. In terms of applications, we study models from mathematical physics and mechanics, for example active matter.