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 at fkranhold.de.
Current List of Courses
| Semester | Titel | Links | Typ |
|---|---|---|---|
| Sommersemester 2025 | Topics in Algebraic Topology | Vorlesung (V) | |
| Tutorial for 0100022 (Topics in Algebraic Topology) | Übung (Ü) |
| Semester | Titel | Typ |
|---|---|---|
| Summer Semester 2025 | Topics in Algebraic Topology | Lecture |
| AG Algebraic und Geometric Topology | Seminar | |
| Winter Semester 2024/25 | Algebraic Topology | Lecture |
| AG Algebraic und Geometric Topology | Seminar | |
| Summer Semester 2024 | Fundamentalgruppen und Überlagerungstheorie | Seminar |
| AG Algebraic and Geometric Topology | Seminar | |
| Winter Semester 2023/24 | Elementare Geometrie | Lecture |
| AG Algebraic and Geometric Topology | Seminar | |
| Summer Semester 2023 | Cohomology and Characteristic Classes | Seminar |
| AG Algebraic and Geometric Topology | Seminar | |
| Winter Semester 2022/23 | Algebraic Topology | Lecture |
| AG Algebraic and Geometric Topology | Seminar |
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.
Publications
- Segal K-theory of vector spaces with an automorphism (2024), with Andrea Bianchi, to appear in International Mathematical Research Notices.
- A stable splitting of factorisation homology of generalised surfaces (2023), to appear in the Journal of the London Mathematical Society.
- Computations in the unstable homology of moduli spaces of Riemann surfaces (2022), with Carl-Friedrich Bödigheimer and Felix Boes.
- Parametrised moduli spaces of surfaces as infinite loop spaces (arXiv), with Andrea Bianchi and Jens Reinhold, Forum of Mathematics, Sigma 10, e39 (2022).
- Configuration spaces of clusters as Ed-algebras (arXiv), Homotopy, Homology and Applications 26.1 (2024), pp. 319–339.
- Vertical configuration spaces and their homology (arXiv), with Andrea Bianchi, Quarterly Journal of Mathematics 73.4 (2022), pp. 1279–1306.
Theses
- Coloured topological operads and moduli spaces of Riemann surfaces with multiple boundary curves (2022), Doctoral thesis, University of Bonn.
- Moduli spaces of Riemann surfaces and symmetric products: a combinatorial description of the Mumford–Morita–Miller classes (2018), Master’s thesis, University of Bonn.