JProf. Dr. Manuel Krannich
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By appointment.
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Kollegiengebäude Mathematik (20.30)
1.013
+49 721 608 42058
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krannich@kit.edu
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Karlsruher Institut für Technologie
Fakultät für Mathematik
Institut für Algebra und Geometrie
Englerstr. 2
76131 Karlsruhe
Germany
See here for further information.
Preprints
- Framed configuration spaces and exotic spheres (arXiv) (2025), with Alexander Kupers and Fadi Mezher.
- Pontryagin–Weiss classes and a rational decomposition of spaces of homeomorphisms (arXiv) (2025), with Alexander Kupers.
- Isoparametric foliations and bounded geometry (arXiv) (2025), with Alexander Lytchak and Marco Radeschi.
- ∞-operadic foundations for embedding calculus (arXiv) (2024), with Alexander Kupers.
- Diffeomorphisms of discs and the second Weiss derivative of BTop(–) (arXiv) (2021), with Oscar Randal-Williams.
Publikationen
- Two remarks on spaces of maps between operads of little cubes, with Geoffroy Horel and Alexander Kupers. Higher Structures, 9 (1) (2025) 329-339.
- On Torelli groups and Dehn twists of smooth 4-manifolds, with Alexander Kupers. Bulletin of the London Mathematical Society, 57-3 (2025) 956–963.
- The Disc-structure space, with Alexander Kupers. Forum of Mathematics, Pi Vol. 12 (2024) E26 1–98.
- Mapping class groups of exotic tori and actions by SLₙ(Z), with Mauricio Bustamante, Alexander Kupers, and Bena Tshishiku. Transactions of the American Mathematical Society 11 (2024) pp. 1316–1349.
- A note on homotopy and pseudoisotopy of diffeomorphisms of 4-manifolds, with Alexander Kupers. Comptes Rendus. Mathématique 362 (2024) pp. 1515–1520.
- Finiteness properties of automorphism spaces of manifolds with finite fundamental group, with Mauricio Bustamante and Alexander Kupers. Mathematische Annalen 388 (2024) 3321–3371.
- Stability of concordance embeddings, with Thomas Goodwillie and Alexander Kupers. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 154 (6) (2024) 1713--1748.
- Embedding calculus for surfaces, with Alexander Kupers. Algebraic & Geometric Topology 24-2 (2024), 981--1018.
- A homological approach to pseudoisotopy theory. I. Inventiones Mathematicae 227 (2022) no. 3 1093–1167.
- An HP2-bundle over S4 with nontrivial Â-genus, with Alexander Kupers and Oscar Randal-Williams. Comptes Rendus. Mathématique Tome 359 (2021) no. 2 pp. 149–154.
- Appendix to Geometric cycles and characteristic classes of manifold bundles, by Bena Tshishiku. Commentarii Mathematici Helvetici 96 (1) (2021) 1–45.
- Mapping class groups of highly connected (4k+2)-manifolds. Selecta Mathematica 26 81 (2020).
- Mapping class groups of simply connected high-dimensional manifolds need not be arithmetic, with Oscar Randal-Williams. Comptes Rendus. Mathématique Tome 358 (2020) no. 4 pp. 469–473.
- A note on rational homological stability of automorphisms of manifolds. The Quarterly Journal of Mathematics 71 (3) (2020) 1069–1079.
- Some Hermitian K-groups via geometric topology, with Alexander Kupers. Proceedings of the American Mathematical Society 149 (2021) 2745–2752.
- Characteristic numbers of manifold bundles over surfaces with highly connected fibers, with Jens Reinhold. Journal of the London Mathematical Society 102 (2) (2020) 879–904.
- On characteristic classes of exotic manifold bundles. Mathematische Annalen 379 (2021) 1–21.
- Homological stability of topological moduli spaces. Geometry & Topology 23 (5) (2019) 2397–2474.
Current List of Courses
| Semester | Titel | Typ |
|---|---|---|
| Winter Semester 2025/26 | AG Algebraic und Geometric Topology | Seminar |
| 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 | Lectures on exotic spheres | Lecture |
| 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 |
| GCD Seminar | Seminar | |
| AG Algebraic and Geometric Topology | Seminar | |
| Summer Semester 2022 | Vector Bundles and Topological K-Theory | Seminar |