Degree theorems and Lipschitz simplicial volume for
non-positively curved manifolds of finite volume
joint with Clara Löh
[arXiv:0710.1635]
A Hochschild-Serre spectral sequence for extensions of
discrete measured groupoids
joint with Andreas Thom See also these slides
of a talk on this subject.
[arXiv:0707.0906]
Simplicial Volume of Hilbert modular varieties
joint with Clara Löh accepted for Commentarii Mathematici Helvetici.
[arXiv:0706.3904]
Homotopy invariance of almost flat Betti numbers
joint with Thomas
Schick accepted for L'Enseignement Mathematique.
Amenable covers, volume and L²-Betti numbers of
aspherical manifolds accepted for J. Reine Angew. Math (Crelle) See also these slides and extended notes of a talk on this
subject.
[math.AT/0605627]
Homological invariants and quasi-isometry appeared in Geom. Funct. Anal. (GAFA), Volume 16, Number 2 / April,
2006.
[math.AT/0312129]
[Journal]
[MR2231471]
L²-Betti numbers of discrete measured groupoids appeared in Internat. J. Algebra Comput. 15
(2005), no. 5-6.
[math.AT/0312411]
[Journal]
[MR2197826]
Power series over the group ring of a free group and applications to Novikov-Shubin invariants appeared in Proceedings of the School High-Dimensional
Manifold Topology, Trieste, 2003.
[pdf]
[MR2048733]
Current projects
Return probabilities of random walks, low-frequency behaviour
of Laplace operators, and isospectral profiles of amenable groups.
joint with Alexander Bendikov and
Christophe Pittet
l¹-Measure equivalence, simplicial volume, and rigidity of hyperbolic lattices.
joint with Uri Bader and Alex
Furman. See also these
slides of talk on this subject.
Teaching
I am not teaching this year. Here are some old courses.
