Thomas Schick - Research

Deputy Speaker of the Research Training Group 2491 Fourier Analysis and Spectral Theory
Coordinator of the former Courant research center "Higher 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

Marco Tavano: L2-invariants and braid groups
Jan Bennet Wiskandt: L2-invariants and the Atiyah conjecture
Erfan Rezaei Gharebolgh: Differential Complexes in Sub-Riemannian Geometry
Sergio Romero (Malaga, advisor there Antonio Viruel): Cotutelle Malaga-Göttingen planned. Starting Fall 2024. Research on persistent cohomology or coarse cohomology
Luca dal Forno (incoming Oct 2024): Twisted complex bordism and its relation to twisted K-theory
Yuetong Luo: Homotopy invariance of L-theoretic signatures of submanifolds of codimension 1 and 2
Erik Babuschkin: spectral engineering
Basak Kücük: Homotopical obstructions to equivariant fixed points
Former students in math genealogy project