Research interests

• topological significance of spectral invariants (index theory, higher torsion)

• differential cohomology theory (axiomatics, model construction, applica- tion in global analysis)

• twisted cohomology (homotopy theoretic foundations and applications in global anaysis)

• mathematical aspects of string theory (e.g. T-duality)

• homotopical and higher-categorial aspects (stacks in topology and differ- ential geometry, bordism categories, toplogical field theories)