I am a postdoctoral researcher at the Karlsruhe Institute of Technology in the working group of Manuel Krannich, specialising in the area of Algebraic Topology. Before that, I was a doctoral and postdoctoral researcher at the University of Bonn and the Max Planck Institute for Mathematics in Bonn, in the working group of Carl-Friedrich Bödigheimer.

My research interests lie in the area of Algebraic and Geometric Topology: more specifically, I am interested in configuration spaces and topological moduli spaces, topological operads and their algebras, factorisation homology, automorphisms of manifolds and manifold bundles, as well as cobordism categories.

- F. Kranhold. ‘A stable splitting of factorisation homology of generalised surfaces’. arXiv:2310.07688.
- C.-F. Bödigheimer, F. Boes, and F. Kranhold. ‘Computations in the unstable homology of moduli spaces of Riemann surfaces’. arXiv:2209.08148.
- A. Bianchi, F. Kranhold, and
J. Reinhold.
‘Parametrised moduli spaces of surfaces as infinite loop spaces’.
*Forum Math. Sigma***10**, e39 (2022), arXiv:2105.05772. - F. Kranhold. ‘Configuration spaces of clusters
as
`E`-algebras’. To appear in_{d}*Homotopy Homol. Appl.*, arXiv:2104.02729. - A. Bianchi and F. Kranhold.
‘Vertical configuration spaces and their homology’.
*Q. J. Math.***73**(4 2022), pp. 1279–1306, arXiv:2103.12137.

*Coloured topological operads and moduli spaces of surfaces with multiple boundary curves*. Doctoral thesis, University of Bonn, 2022.*Moduli spaces of Riemann surfaces and symmetric products: A combinatorial description of the Mumford–Miller–Morita classes*. Master’s thesis, University of Bonn, 2018.

Here you can find handwritten notes or recordings of some talks I have given in the last years, some of them at multiple occasions:

*Parametrised moduli spaces of surfaces as infinite loop spaces*. Recording Purdue.*Configuration spaces of clusters as*. Recording Copenhagen.`E`-algebras_{d}*Vertical configuration spaces and their homological stability*.*The homotopy type of the cobordism category*.*Homotopy coherent multiplications and loop spaces*.*An introduction to model categories*.

*Kategorientheorie: Grundlagen*. Lecture notes (German) for a course I gave at the CdE-WinterAkademie 2023/24. It was accompanied by a set of exercises.