KIT - Department of Mathematics - JProf. Dr. Manuel Krannich

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Department of Mathematics

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Institute of Algebra and Geometry

Research Group Algebraic and Geometric Topology

JProf. Dr. Manuel Krannich

JProf. Dr. Manuel Krannich

JProf. Dr. Manuel Krannich

$Office hour for students$ By appointment.
$Building$ Kollegiengebäude Mathematik (20.30)
$Room$ 1.013
$Tel.$ +49 721 608 42058
krannich@kit.edu

Karlsruher Institut für Technologie
Fakultät für Mathematik
Institut für Algebra und Geometrie
Englerstr. 2
76131 Karlsruhe
Germany

See here for further information.

Preprints

∞-operadic foundations for embedding calculus (arXiv) (2024), with Alexander Kupers.
Two remarks on spaces of maps between operads of little cubes (arXiv) (2022), with Geoffroy Horel and Alexander Kupers.
Diffeomorphisms of discs and the second Weiss derivative of BTop(–) (arXiv) (2021), with Oscar Randal-Williams.
On Torelli groups and Dehn twists of smooth 4-manifolds (arXiv) (2021), with Alexander Kupers.

Publikationen

The Disc-structure space, with Alexander Kupers. Forum of Mathematics, Pi, to appear.
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, to appear.
A note on homotopy and pseudoisotopy of diffeomorphisms of 4-manifolds, with Alexander Kupers. Comptes Rendus. Mathématique, to appear.
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 (Memorial volume in honour of Andrew Ranicki), to appear.
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 2024/25	Algebraic Topology	Lecture
	AG Algebraische und Geometrische Topologie	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