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)
- Mathematical Methods in Physics (B. Niethammer)
- Probability Theory (A. Bovier, A. Eberle, N. Tran)
- Stochastic Analysis (T. Sturm, P. Ferrari, J. Neeman)
- Variational Methods and Mathematical Aspects of Materials Science (S. Müller, Hausdorff Chair, M. Disertori)
- M. Gubinelli, Hausdorff Chair

Bonn Junior Fellows:

- J. Neeman
- N. Tran

Emeriti

- S. Albeverio, H. W. Alt, J. Frehse, R. Leis, M. Schäl, K. Scherer, W. Vogel