L2-Invariants (in particular: L2-torsion of finite aspherical CW-complexes, Atiyah conjecture)
Farrell-Jones conjecture
Surgery (in particular: fake lens spaces)
Publications, Preprints
Christian Wegner: L2-Invariants of finite aspherical CW-complexes, manuscripta mathematica 128 (2009), no. 4, 469--481.
Christian Wegner: On the behaviour of the Atiyah Conjecture under taking subgroups and under taking quotients with finite kernel, Journal of Pure and Applied Mathematics: Advances and Applications 2 (2009), no. 1, 1--17.
Wolfgang Lück, Roman Sauer, Christian Wegner: L2-torsion, the measure theoretic determinant conjecture, and uniform measure equivalence, arXiv: 0903.2925, to appear in Journal of Topology & Analysis.
Tibor Macko, Christian Wegner: On fake lens spaces with the fundamental group of order a power of 2, Algebraic & Geometric Topology 9 (2009), no. 3, 1837--1883.
Tibor Macko, Christian Wegner: On the classification of fake lens spaces, arXiv: 0810.1196, to appear in Forum Mathematicum.
Diplomarbeit (Äquivariante Hindernistheorie für topologische Gruppen)
Dissertation (L2-Invariants of Finite Aspherical CW-Complexes with Fundamental Group Containing a Non-trivial Elementary Amenable Normal Subgroup)