Stochastics and Financial Mathematics

The research group investigates key issues in stochastics, mathematical physics, and financial and actuarial mathematics. These include the analysis of complex many-particle systems, phase transitions, and dynamic models, as well as non-Markovian processes. Another focus is on the study of random discrete structures and efficient random-based algorithms. In the field of financial and actuarial mathematics, the group addresses the mathematical modeling of valuation, risk management, and optimization under uncertainty in financial and insurance markets. In addition, the group investigates machine learning, stochastic optimization, and related differential equations from both theoretical and applied perspectives. The research activities thus combine fundamental probabilistic research with applications in other disciplines, such as physics, computer science, and economics.