Genericity and Randomness in Computability Theory Klaus Ambos-Spies, Universitaet Heidelberg Genericity and randomness play a major role in some areas of computability theory like the degrees of unsolvability and structural complexity theory. Based on some recent work on resource-bounded genericity and randomness, we will present some open problems in the latter area. In part, these questions are related to open problems about the relations among different concepts of general algorithmic randomness.