Research Group Low-Dimensional Topology

The double tangle of a trefoil and its Heegaard Floer invariant, taken from Zibrowius: Heegaard Floer multicurves of double tangles, Proceedings of Symposia in Pure Mathematics 109 (2024), 253–284 (arXiv:2212.08501 | doi:10.1090/pspum/109/01999)

Low-dimensional topology deals with spaces of dimensions 0 through 4. The particular research focus of our group lies on categorified knot invariants, such as knot Floer homology and Khovanov homology, and their application to topological problems.

Current members of the research group

Group leader: Prof. Dr. Claudius Zibrowius
Secretary: Insa Meffert, M.A.
Postdoc since September 2024: Dr. Chen Zhang

Former members of the research group

Dr. Subhankar Dey, Assistant Professor, Department of Mathematics, IIT Palakkad

Third-party funding

Since 2022: Individual Research Grant (project number 505125645) from the German Research Foundation (DFG)
Since 2024: Starting Grant (project number 101115822) of the European Research Council (ERC).