# 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

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
Characteristic numbers of manifold bundles over surfaces with highly connected fibers
M Krannich, J Reinhold
– Journal of the London Mathematical Society
Mapping class groups of highly connected $(4k+2)$-manifolds
M Krannich
A note on rational homological stability for automorphisms of manifolds
M Krannich
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

E0.02

01223 766846