# 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

Mapping class groups of highly connected $(4k+2)$-manifolds
M Krannich
– Selecta Mathematica
(2020)
26,
81
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
– Comptes Rendus Mathematique
(2020)
358,
469
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)
379,
1
On Torelli groups and Dehn twists of smooth 4-manifolds
M Krannich, A Kupers
A homological approach to pseudoisotopy theory. I
M Krannich
Embedding calculus for surfaces
M Krannich, A Kupers
Finiteness properties of automorphism spaces of manifolds with finite fundamental group
M Bustamante, M Krannich, A Kupers

E0.02

01223 766846