Our research agenda includes:

• advances in the Langlands program using categorical, representation-theoretic, and analytic methods
• new structures in algebra and geometry, exemplified by condensed mathematics
• inverse problems and reconstruction from both analytic and numerical perspectives
• probabilistic modeling and the study of limit behavior in complex systems
• optimal, problem-adapted approximation spaces for high-dimensional problems
• mathematical methods in economics, with a focus on information, mechanism, and market design
• combinatorial optimization with real-world applications
• formalized mathematics and computer-verified proofs

An integral component of our research profile is the Hausdorff Research Institute for Mathematics, a unique institution in Germany that hosts thematic Trimester Programs in all areas of mathematics and theoretical economics. Through its events and workshops, it attracts hundreds of international scientists each year, making Bonn a vibrant global hub for mathematical research.

The Hausdorff School for Mathematics is a comprehensive, competitive, and innovatively structured early-career program for PhD students and postdocs. Key initiatives that foster early independence include collaborative research retreats, an international exchange program, and specialized topic schools. The successful Bonn Junior Fellows program provides an excellent springboard for establishing a long-term academic career.

Involved Institution:

• Max Planck Institute for Mathematics