Forschungsfelder und Projekte
► Forschungsfelder
- Geometrische Gruppentheorie
- Nichtkommutative Geometrie
- Funktionalanalysis/Operatoralgebren
- Ergodentheorie von Gruppenoperationen
- Algebraische K-Theorie
- Reelle Algebraische Geometrie
► Aktuelle Forschungsprojekte
- Homotopy groups of algebraic K-theory (joint with Guillermo Cortinas)
- Connes embeddings conjecture and embedability of particular groups
- About the geometry of spectahedra and RZ-polynomials (joint Tim Netzer)
- Metric geometry of the space of positive invertible operators on Hilbert space
- L2-invariants of groups and manifolds
- John von Neumann's continuous geometries - old and new
- Algebraic Geometry of topological spaces (joint with Guillermo Cortinas)
- G-equivariant Morse theory (joint with Matthias Schwarz)