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Graduiertenkolleg 1150Homotopy and Cohomology |
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Research interests and PhD projects
Rheinische Friedrich-Wilhelms-Universität Bonn
Bonn Topology group
Prof. Carl-Friedrich Bödigheimer
Mathematisches Institut,
Universität Bonn, Endenicher Allee 60, 53115 Bonn
Tel.: (0228) 73-7794,
Email: boedigheimer@math.uni-bonn.de
Research interests:
unstable and stable homotopy theory, in particular mapping spaces and configuration spaces;
moduli spaces of Riemann surfaces and mapping class groups.
PhD projects (current and future):
Homotopy type of configuration spaces,
(Segal) Gamma-spaces, transfer functors;
homology computations of moduli spaces, graph homology,
filtrations of group homology and Rips-like complexes,
Hopf algebras and shuffle algebras on group rings.
Prof. Stefan Schwede
Mathematisches Institut,
Universität Bonn, Endenicher Allee 60, 53115 Bonn
Tel.: (0228) 73-3158,
Email: schwede@math.uni-bonn.de
Research interests:
unstable and stable homotopy theory,
in particular homotopical algebra over
structured ring spectra, topological modular forms; triangulated categories.
PhD projects (current and future):
rigidity and exotic models for module categories of ring spectra;
algebraic versus topological triangulated categories;
comparison of enhancements for triangulated categories;
united elliptic homology
Prof. Catharina Stroppel
Mathematisches Institut,
Universität Bonn, Endenicher Allee 60, 53115 Bonn
Tel.: (0228) 73-6838,
Email: stroppel@math.uni-bonn.de
Research interests:
Representation theory of Lie algebras,
connections to Topology (in particular knot invariants, manifold invariants).
Categorification and TQFT.
Combinatorial aspects of representation theory (Schubert calculus, Kazdhan-Lusztig theory, canonical bases etc.).
Hecke algebras and their representation theory.
Diagram algebras categorification and higher category theory.
PhD projects (current and future):
Constructions and comparison of categorifications,
topological invariants arising from representation theory, quantum
groups and their knot invariants, autoequivalences of derived
categories, categorical braid group actions
Prof. Peter Teichner
Max Planck Institut für Mathematik ,
Vivatsgasse 7, 53111 Bonn
Tel.: (0228) 402-202,
Email: teichner@mpim-bonn.mpg.de
Research interests:
Spaces of field theories, relation to generalized cohomology and the Witten genus, higher category theory,
topological 4-manifolds and their invariants, knots and links.
PhD projects (current and future):
Super symmetric field theories, categories of modules over von Neumann algebras, string
structures on homogenous spaces, relations between different notions of topological field theories, equivariant cohomology via
field theories, Whitney towers on 2-spheres in 4-manifolds.
Ruhr-Universität Bochum
Prof. Gerd Laures
Fakultät für Mathematik,
Universität Bochum,
Universitätsstr. 150, 44801 Bochum
Tel.: (0234) 32-22160,
Email: gerd.laures@ruhr-uni-bochum.de
Research interests: stable homotopy theory, elliptic cohomology,
manifolds with corners.
PhD projects (current and future):
Toda brackets, manifolds with corners and f-invariant;
higher homotopy invariants via topological automorphic forms and
applications to framed Stiefel manifolds; generalization of Browder's
theorem from Poincaré complexes to manifolds with corners;
K(1)-local E_infty cell decomposition of MU;
cell decompositions of K(2)-local E_infty spectra;
K-theory as an ad theory; L-theory of ring spectra with involution
Heinrich-Heine-Universität Düsseldorf
Prof. Wilhelm Singhof
Mathematisches Institut,
Universität Düsseldorf,
Universitätsstr. 1, 40225 Düsseldorf
Tel.: (0211) 81-0,
Email: singhof@math.uni-duesseldorf.de
Research interests:
PhD projects (current and future):
Last modified:30.08.2012