The group's main focus is on the application driven development of optimization methods, the close connection to machine learning, and an efficient implementation on computers. Main technologies and fields of expertise comprise nonlinear and integer optimization, as well as optimal control. A specialization is in numerical algorithms for mixed-integer optimization with differential equations. Most of our mathematical models arise from applications in clinical decision support, energy, and mobility.

Our research has been receiving funding from an ERC consolidator grant, the DFG Research Training Group 2297 Mathematical Complexity Reduction, the Excellence Synergy Programme of Sachsen-Anhalt, the IMPRS Advanced Methods in Process and Systems Engineering and several DFG, BMBF, and industry projects.