Thomas Schick - Research

Speaker of the Research Training Group 2491 Fourier Analysis and Spectral Theory
Coordinator of the former Courant research centerHigher order structures in Mathematics
Deputy speaker of the former Research Training Group 1493 "Mathematische Strukturen in der modernen Quantenphysik"
Existence and non-existence of Riemannian metrics with positive scalar curvature
Higher rho invariants in topology and geometry (with Paolo Piazza, Mehran Seyedhosseini, Vito Zenobi)
Twisted generalized cohomology theories
Exotic Baum-Douglas (M,E,f)-theory, for spaces with actions of discrete and totally disconnected groups (with Paul Baum, Nigel Higson )
L2-cohomology, in particular the Atiyah conjecture
K-theory for C*-algebras and the Baum-Connes conjecture

prospective: NN Algebraic topology
Tom Dove: Topological T-duality
Zhicheng Han: L2-invariants of locally symmetric spaces
Anne Prepeneit: Chern characters in equivariant K-theory (?)
Tim Martin Höpfner: Novikov-Shubin invariants of nilpotent Lie groups
Thorsten Hertl (joint supervision with Wolfgang Steimle)
Ivonne Callejas beschäftigt sich mit Anwendungen von algebraischer Topologie (insbesondere von Fixpunktsätzen) auf Spieltheorie