Our aim is to develop mathematical techniques and ideas which are relevant for applications in the natural and social sciences, and to investigate their implications in selected case studies. Mathematically, we focus on nonlinear analysis (calculus of variations, partial differential equations), numerical mathematics, probability theory and stochastic analysis. Presently the main application areas are physics and mechanics.

Our institute is a founding member of the excellence cluster Hausdorff Center for Mathematics (HCM) in Bonn and consists of the following research groups:

• Applied Analysis (S. Conti)
• Functional Analysis (J. López Velázquez)
• PDE and applications (B. Niethammer)
• Probability Theory (A. Bovier, A. Eberle)
• Stochastic Analysis (T. Sturm)
• Interacting Random Systems (P. Ferrari)
• Variational Methods and Mathematical Aspects of Materials Science (S. Müller, Hausdorff Chair; M. Disertori)
• Stochastic Partial Differential Equations

Bonn Research Chair

• M. Ortiz

Bonn Junior Fellows

• J. Alt, C. Brennecke, T. Laux, E. Peltola

Interdisciplinary Research Units

• A. Effland

Emeriti

• S. Albeverio, H. W. Alt, J. Frehse, R. Leis, M. Schäl

The Department of Mathematics offers 10 grants for Bachelor or Master students of Mathematics who had to leave their former university or their country because of the war in Ukraine. They are invited to continue their studies in Bonn and will receive special support. The grants will amount to 900 € per month for two years, with a possible prolongation. See here for more information on the application process and the admission requirements.