Our research addresses the microscopic, precise spiking dynamics in neural networks, the le­vel of mesoscopic col­lective dynamics as well as emer­gent large-scale phenomena such as control and lear­ning of behavior. The long-term aim is a theoretical understanding of the complex dynamics and the resulting computations of neural systems. For this goal, it is essential to join strict mathemat­ical approaches and perspectives from neurophysiology and neurobiology and to apply and to fur­ther develop methods from com­puter science and theoretical physics.