I'm a third year PhD student under the supervision of Ursula Hamenstädt
I'm mainly interested in geometric and differential topology. To be more precise I'm interested in characteristic classes and understanding fiber bundles. Furthermore I'm interested in understanding the quantitative and geometric properties of a given singular or bordism homology class, like for example finding a surface representative of minimal genus of a second homology class.
Outside of mathematics I'm mostly interested in powerlifting and dealing with my two adorable but demanding cats.
The Minimal Genus of Homology Classes in a Finite 2-Complex with Mark Pedron
Homological Stability for Spaces of Subsurfaces with Tangential Structure
Exponential torsion growth for random 3-manifolds with Hyungryul Baik, David Bauer, Ilya Gekhtman, Ursula Hamenstädt, Sebastian Hensel, Bram Petri and Daniel Valenzuela
Appeared in Int. Math. Res. Not. IMRN, 21: 6497 - 6534
Endenicher Allee 60
53115 Bonn, Germany
E-Mail: Kastenholz at math.uni-bonn.de