My research is mainly focused on homotopy theory and its applications in algebraic and arithmetic geometry. For more information, please see my research articles and notes from talks and lecture series below.
If you are interested in working on a project which may lead to a Bachelor or Master Theses or if you would like to work on a StudForsk-Project, I would be very happy to talk to you. You find some suggestions for possible topics here. Please contact me for more information.
Publications, Preprints, Notes
Examples of non-algebraic classes in the Brown-Peterson tower
Mathematische Zeitschrift 293 (2019) 25-37
Unstable splittings in Hodge filtered Brown-Peterson cohomology
Journal of Homotopy and Related Structures 14 (2019)
An Abel-Jacobi invariant for cobordant cycles
Documenta Mathematica 21 (2016) 1645-1668
Profinite and discrete G-spectra and iterated homotopy fixed points (with Daniel G. Davis)
Algebraic & Geometric Topology 16 (2016) 2257-2303
Existence of rational points as a homotopy limit problem
Journal of Pure and Applied Algebra 219 (2015) 3466-3481