About the Chair
Probability theory (aka stochastics) is the branch of mathematics which tells us how to deal with random events, how to quantify risk and model uncertainty. Probability has a long tradition at TU Dresden, the first “statistical seminar” was founded as early as 1875 and the first professorship in actuarial sciences & statistics was created in 1919. The chair of probability was founded in 1959, the current research focus is on analytic methods in probability theory, the theory of random processes and stochastic differential equations.
Research and Teaching
Chance. Whatever it is, you cannot ignore it. “Probability” is a quantification of “chance” and probabilities determine insurance rates (how likely is an accident?), your personal decision to have a vaccination against flu (what are the chances to fall ill?) or criminal courts relying on expert opinions which are correct “beyond reasonable doubt”.
Prof. Schilling and his team focus in both research and teaching is on stochastic processes which describe random events over time. At the centre of interest are so-called jump processes which can be used to model “shocks” and other extreme events. Our methods are an attractive mix of probabilistic and analytic tools (profile).
For students we offer courses at all levels: BSc, MSc and PhD, starting from measure & integration, introductory probability, discrete random processes, probability with martingales, stochastic calculus. There is also a variety of (annually changing) special courses e.g. on Lévy processes, Dirichlet forms or Malliavin calculus. Topics for final theses can be found here.