The main research focus of our group is on understanding random discrete structures. This includes various aspects, from developing randomized algorithms over analyzing games all the way to proving results on methods and tools for handling random structures. All this research is of foundational nature, i.e., we usually do not have any concrete application in mind. While this kind of research is close to our heart and forms our daily business, we also like to show how useful our way of thinking - and our understanding of random structures - is for attacking challenging problems that come from applications or other areas of science. In particular, we are interested in the role of randomness in neuroscience.