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

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 (starting WS 22/23)
Anne Prepeneit: Chern characters in equivariant K-theory (?)
Former students in math genealogy project