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Department of Pure Mathematics and Mathematical Statistics

Research Interests: Algebraic and Geometric Topology, in particular: topology of moduli spaces, manifold bundles and their characteristic classes, automorphism and embedding spaces of manifolds, surgery theory, cobordism categories, and configuration spaces.

Publications

Characteristic numbers of manifold bundles over surfaces with highly connected fibers
M Krannich, J Reinhold
– Journal of the London Mathematical Society
(2020)
102,
879
Mapping class groups of simply connected high-dimensional manifolds need not be arithmetic
M Krannich, O Randal-Williams
РComptes Rendus. Math̩matique
(2020)
358,
469
A note on rational homological stability for automorphisms of manifolds
M Krannich
– Quarterly Journal of Mathematics
(2020)
71,
1069
Homological stability of topological moduli spaces
M Krannich
– Geometry & Topology
(2019)
23,
2397
On characteristic classes of exotic manifold bundles
M Krannich
– Mathematische Annalen
(2019)
1
A homological approach to pseudoisotopy theory. I
M Krannich
Mapping class groups of highly connected $(4k+2)$-manifolds
M Krannich
– Selecta Mathematica
Some hermitian K-groups via geometric topology
M Krannich, A Kupers
– Proceedings of the American Mathematical Society
An ${\bf H}P^2$-bundle over $S^4$ with nontrivial $\hat{A}$-genus
M Krannich, A Kupers, O Randal-Williams
– Comptes Rendus Mathematique (Academie des Sciences)

Room

E0.02

Telephone

01223 766846