I am a Research Associate in Mathematics at the University of Cambridge in the group of Oscar RandalWilliams. Previously, I was at the University of Copenhagen where I finished my PhD in October 2018.
Contact Information
Address: 
Centre for Mathematical Sciences
University of Cambridge
Wilberforce Road
Cambridge CB3 0WB
United Kingdom 
Office:  E0.02

Phone:  +44 (0)1223766846

Email:  krannich(at)dpmms.cam.ac.uk 


Research interests
Geometric and Algebraic 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. My side interests include the cohomology of arithmetic groups and (computational) stable and unstable homotopy theory.
For further information, see my CV.
Preprints
Publications
 An HP^{2}bundle over S^{4} with nontrivial Âgenus (arXiv) (2020), with Alexander Kupers and Oscar RandalWilliams.
Comptes Rendus. Mathématique, to appear.
 Appendix to Geometric cycles and characteristic classes of manifold bundles (arXiv), by Bena Tshishiku.
Commentarii Mathematici Helvetici, to appear.
 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 (preprint), with Oscar RandalWilliams.
Comptes Rendus. Mathématique, Tome 358 (2020) no. 4, pp. 469473.
 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, to appear.
 Characteristic numbers of manifold bundles over surfaces with highly connected fibers (arXiv), with Jens Reinhold.
Journal of the London Mathematical Society 102 (2) (2020) 879904.
 On characteristic classes of exotic manifold bundles (arXiv).
Mathematische Annalen, 379 (2021) 121. Erratum
 Homological stability of topological moduli spaces (arXiv).
Geometry & Topology 23 (5) (2019) 2397–2474.
Miscellaneous
Teaching and service
Forthcoming and past talks
 Summer 2021, TBD, International Workshop on Algebraic Topology (IWoAT 2021), Beijing.
 April 2021, TBD, Séminaire de l'équipe Topologie Algébrique, Université Sorbonne Paris Nord (Paris 13).
 April 2021, TBD, 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.