Dr. Florian Kranhold
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By appointment
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Kollegiengebäude Mathematik (20.30)
1.019
+49 721 608-42385
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kranhold@kit.edu
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Karlsruher Institut für Technologie
Fakultät für Mathematik
Institut für Algebra und Geometrie
Englerstr. 2
76131 Karlsruhe
Germany
I am a postdoctoral researcher in the working group of Manuel Krannich. Before that, I was a doctoral and a postdoctoral researcher at the University of Bonn, in the working group of Carl-Friedrich Bödigheimer. Further information can be found on my private website.
| Semester | Titel | Typ |
|---|---|---|
| Summer Semester 2023 | Seminar (Cohomology and Characteristic Classes) | Seminar |
| AG Algebraic and Geometric Topology | Seminar | |
| Winter Semester 2022/23 | Algebraic Topology | Lecture |
| AG Algebraische und Geometrische Topologie | Seminar |
My research interests lie in the area of algebraic topology: more specifically, I am interested in (coloured) topological operads and their algebras, configuration spaces and their homological stability, as well as diffeomorphism groups and mapping class groups, moduli spaces of surfaces and their (unstable) homology. More recently, I have been studying low-dimensional equivariant and parametrised cobordism categories and their homotopy type.
Preprints
- Computations in the unstable homology of moduli spaces of Riemann surfaces (2022, arXiv), with Carl-Friedrich Bödigheimer and Felix Boes
- Configuration spaces of clusters as
-algebras (2021, arXiv)
Publications
- Parametrised moduli spaces of surfaces as infinite loop spaces. Forum Math. Sigma 10 (2022, DOI), with Andrea Bianchi and Jens Reinhold
- Vertical configuration spaces and their homology. Q. J. Math. (2022, DOI), with Andrea Bianchi