# Faculty of Mathematics

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

A note on rational homological stability for automorphisms of manifolds
M Krannich
– Quarterly Journal of Mathematics
(2020)
71,
1069
Mapping class groups of simply connected high-dimensional manifolds need not be arithmetic
M Krannich, O Randal-Williams
– Comptes Rendus Mathematique (Academie des Sciences)
(2020)
358,
469
Characteristic numbers of manifold bundles over surfaces with highly connected fibers
M Krannich, J Reinhold
– Journal of the London Mathematical Society
(2020)
Homological stability of topological moduli spaces
M Krannich
– Geometry and Topology
(2019)
23,
2397
On characteristic classes of exotic manifold bundles
M Krannich
– Mathematische Annalen
(2019)
1
Mapping class groups of highly connected $(4k+2)$-manifolds
M Krannich
– Selecta Mathematica
A homological approach to pseudoisotopy theory. I
M Krannich
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

## Research Group

Differential Geometry & Topology

E0.02

01223 766846