I am a junior professor (assistant professor) at the Karlsruhe Institute of Technology. Previously, I was a postdoc at Mathematics Münster: Dynamics  Geometry  Structure and before that at the University of Cambridge. I finished my PhD in October 2018 at the University of Copenhagen.
Contact Information
Address: 
Karlsruhe Institute of Technology
Department of Mathematics
Englerstraße 2
76131 Karlsruhe
Germany 
Office:  1.013 (Kollegiengebäude Mathematik 20.30)

Phone:  +49 (0)721 608 42058

Email:  


Research interests
Algebraic and Geometric Topology, in particular: topology of moduli spaces, manifold bundles and their characteristic classes, automorphism and embedding spaces of manifolds, mapping class groups, surgery theory, cobordism categories, configuration spaces, Ktheory, and applications to differential geometry.
For further information, see my CV.
News
Preprints
Publications
 Finiteness properties of automorphism spaces of manifolds with finite fundamental group (arXiv), with Mauricio Bustamante and Alexander Kupers.
Mathematische Annalen, to appear.
 Stability of concordance embeddings (arXiv), 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 (arXiv), with Alexander Kupers.
Algebraic & Geometric Topology, to appear.
 A homological approach to pseudoisotopy theory. I (arXiv).
Inventiones Mathematicae 227 (2022) no. 3 1093–1167.
 An HP^{2}bundle over S^{4} with nontrivial Âgenus (arXiv), with Alexander Kupers and Oscar RandalWilliams.
Comptes Rendus. Mathématique Tome 359 (2021) no. 2 pp. 149–154.
 Appendix to Geometric cycles and characteristic classes of manifold bundles (arXiv), by Bena Tshishiku.
Commentarii Mathematici Helvetici 96 (1) (2021) 1–45.
 Mapping class groups of highly connected (4k+2)manifolds (arXiv).
Selecta Mathematica 26 81 (2020).
 Mapping class groups of simply connected highdimensional manifolds need not be arithmetic (arXiv), with Oscar RandalWilliams.
Comptes Rendus. Mathématique, Tome 358 (2020) no. 4 pp. 469–473.
 A note on rational homological stability of automorphisms of manifolds (arXiv).
The Quarterly Journal of Mathematics 71 (3) (2020) 1069–1079.
 Some Hermitian Kgroups via geometric topology (arXiv), with Alexander Kupers.
Proceedings of the American Mathematical Society 149 (2021) 2745–2752.
 Characteristic numbers of manifold bundles over surfaces with highly connected fibers (arXiv), with Jens Reinhold.
Journal of the London Mathematical Society 102 (2) (2020) 879–904.
 On characteristic classes of exotic manifold bundles (arXiv).
Mathematische Annalen 379 (2021) 1–21. Erratum
 Homological stability of topological moduli spaces (arXiv).
Geometry & Topology 23 (5) (2019) 2397–2474.
Miscellaneous
 Stability of concordance embeddings. Oberwolfach Reports to appear.
 Moduli spaces of hcobordisms of discs. Oberwolfach Reports 17 (2020), no. 21, 1089–1090.
 Pseudoisotopies of even discs, revisited. Oberwolfach Reports 17 (2020), no. 1, 431–432.
 Weight decompositions and automorphism groups of manifolds (joint with M. Krannich), by Alexander Kupers. Oberwolfach Reports (2019), no. 3, 2223–2227.
 I compiled a list of problems from the workshop on Automorphisms of Manifolds at the Hausdorff Center for Mathematics in Bonn in September 2019.
 A video of me speaking about the Discstructure space during the conference Manifolds and Ktheory: the legacy of Andrew Ranicki at the ICMS in Edinburgh in June 2021.
 A video of me speaking about diffeomorphism groups of discs during the workshop Four Manifolds: Confluence of High and Low Dimensions at the Fields Institute in Toronto in July 2019.
 My thesis (University of Copenhagen, Sep 2018, winner of the SCIENCE PhD Award 2019).
Forthcoming and past talks
 Oct 2023, TBD, Lisbon.
 Aug 2023, TBD, Workshop: String topology and connections to BVquantization, symplectic topology and manifold topology, Dublin.
 July 2023, A homological approach to pseudoisotopy theory, Workshop: Algebraic Ktheory of spaces, Regensburg.
 June 2023, Exotic tori, actions by SLₙ(Z), and mapping class groups, Oberseminar Differentialgeometrie, Augsburg.
 June 2023, A rational pullback decomposition of spaces of homeomorphisms of manifolds, Oberseminar Topologie, Münster.
 May 2023, Automorphisms of the little ddiscs operad, Workshop on Homology of Configuration Spaces and related topics, Paris.
 Mar 2023, Pontryagin classes of Euclidean fibre bundles over spheres, Dublin Mathematics Colloquium, Dublin.
 Feb 2023, Diffeomorphisms of discs, Colloquium, LMU Munich.
 Jan 2023, Manifolds and calculus, Chromatic Homotopy, KTheory and Functors, CIRM  Luminy.
 Oct 2022, Manifolds and calculus, Ib Fest: Conference on the occasion of Ib Madsen's 80th birthday, Copenhagen.
 Sep 2022, Multirelative connectivity results in geometric topology, 4Manifolds: from Above and Below, CIRM  Luminy.
 Sep 2022, The Discstructure spaces, Classifying spaces in homotopy theory: in honour of Ran Levi's 60th Birthday, Edinburgh.
 July 2022, Stability of concordance embeddings, Topologie, Oberwolfach.
 June 2022, The Discstructure space, Topology Seminar, Kansas State University.
 June 2022, The Discstructure space, Topology Seminar, Bonn.
 May 2022, Top(d) and orthogonal calculus, Topology Seminar, Stockholm.
 Feb 2022, The Discstructure space, Higher algebraic structures in algebra, topology and geometry, Institut MittagLeffler.
 Feb 2022, Pseudoisotopies of discs and K(Z), Oberseminar Geometrie und Topologie, Göttingen.
 Dec 2021, Smoothing fibre bundles and diffeomorphism groups of discs, IMUNAM Algebraic Topology Seminar, Mexico City.
 Oct 2021, Top(d) and orthogonal calculus, Topology Seminar, Münster.
 July 2021, (In)finiteness properties of automorphism spaces of manifolds, AGSeminar, Regensburg.
 June 2021, The Discstructure space, Conference "Manifolds and Ktheory: the legacy of Andrew Ranicki", Edinburgh.
 Apr 2021, Embedding calculus, factorisation homology, and surfaces, Séminaire de l'équipe Topologie Algébrique, Université Sorbonne Paris Nord (Paris 13).
 Apr 2021, Embedding calculus in codimension zero, Building Bridges Seminar: Invariants of Embedding spaces, virtual.
 Feb 2021, Smoothing fibre bundles and diffeomorphism groups of discs, Geometry & Topology Seminar, Toronto.
 July 2020, Moduli spaces of hcobordisms of discs, Topologie, Oberwolfach.
 May 2020, Pseudoisotopies of discs and algebraic Ktheory of the integers, Topology Seminar, Purdue.
 May 2020, The pseudoisotopy stable range, Topology Seminar, Bonn.
 Mar 2020, Pseudoisotopies of even discs and algebraic Ktheory of the integers, Topology Seminar, Wayne State.
 Mar 2020, Pseudoisotopies of even discs and algebraic Ktheory of the integers, Geometry & Topology Seminar, Brown.
 Mar 2020, Pseudoisotopies of even discs and algebraic Ktheory of the integers, Topology Seminar, Brandeis.
 Feb 2020, Pseudoisotopies of even discs, revisited, Manifolds and Groups, Oberwolfach.
 Jan 2020, A homological approach to pseudoisotopy theory, Algebraic Topology Seminar, Warwick.
 Dec 2019, A homological approach to pseudoisotopy theory, Topology Seminar, Münster.
 Nov 2019, Diffeomorphism groups of discs, Topology Seminar, Aberdeen.
 Oct 2019, Mapping class groups, signatures, and arithmeticity, MPI Topology Seminar, Bonn.
 July 2019, Diffeomorphism groups of discs, Four Manifolds: Confluence of High and Low Dimensions, Fields Institute Toronto.
 June 2019, Rational homotopy groups of diffeomorphism groups of discs, revisited (short talk), Conference: SYM 10 years old, Copenhagen.
 Apr 2019, Mapping class groups of highly connected manifolds, Geometry Centre Seminar, Utrecht.
 Apr 2019, Mapping class groups of highly connected manifolds, Seminar in Algebra & Geometry, Stockholm.
 Mar 2019, Mapping class groups of highly connected manifolds, Topology Seminar, MIT.
 Jan 2019, Mapping class groups of highly connected manifolds, Geometry and Topology Seminar, Durham.
 Dec 2018, On the signature of bundles over surfaces, Oberseminar Differentialgeometrie, Augsburg.
 Dec 2018, Mapping class groups of highly connected manifolds, Bavarian Geometry/Topology Seminar, Augsburg.
 Dec 2018, Mapping class groups of highly connected manifolds, Workshop "Manifolds" during the programme "Homotopy harnessing higher structures", Newton Institute Cambridge.
 Nov 2018, Detecting exotic smooth structures in diffeomorphism groups, Differential Geometry and Topology Seminar, Cambridge.
 Sept 2018, Topological moduli spaces, E₂algebras, and homological stability, Workshop Cohomological study of mapping class groups and related topics, Strasbourg.
 June 2018, On the signature of smooth bundles over surfaces, Conference "Manifolds, Groups, and Homotopy", Isle of Skye. (Slides)
 Apr 2018, Characteristic numbers of manifold bundles over surfaces with highly connected fibres, Oxford–Cambridge–Aberdeen Meeting on Manifolds, Cambridge.
 Apr 2018, Homological stability of topological moduli spaces, Topology Seminar, Purdue.
 Apr 2018, Detecting exotic smooth structures in diffeomorphism groups, Topology Seminar, Northwestern.
 Apr 2018, Topological moduli spaces, E₂algebras, and homological stability, Geometry/Topology Seminar and Topology Seminar (joint), University of Chicago.
 Jan 2018, On characteristic classes of exotic manifold bundles, Topology Seminar, Bonn.
 Jan 2018, On characteristic classes of exotic manifold bundles, Topology Seminar, Karlsruhe.
 Jan 2018, On characteristic classes of exotic manifold bundles, Topology Seminar, Münster.
 Dec 2017, On characteristic classes of exotic manifold bundles, Topology Seminar, Copenhagen.
 July 2017, On the cohomology of moduli spaces of manifolds connect summed with an exotic sphere, Young Topologists' Meeting, Stockholm.
 Mar 2017, Homological stability of E₁modules over E₂algebras and twisted stability of topological moduli spaces, Topology Seminar, Aberdeen.