Thorben Kastenholz

I'm a postdoc in mathematics at the University of Göttingen working under Thomas Schick. Before that I was a PhD student at the University of Bonn supervised by 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 or determining the simplicial volume of manifolds.
Outside of mathematics I'm mostly interested in powerlifting and coding various stuff ranging from simple programs that help with my research, over trying to build a trading bot, to solving the coding puzzles from Project Euler.
Teaching
Bounded Cohomology of Groups
The lecture will start on the 26th of April. A separate web page will follow soon.Time: Tue 14 c.t. - 16
Place: HS1
There is a slight chance that the lectures will be streamed/recorded. More information about that will be on the separate webpage
Publications
2021
-
The minimal genus problem for right angled Artin groups
with Rachael Boyd and Jean Pierre Mutanguha
Preprint: arXiv:2108.02914 -
Essentiality and simplicial volume of manifolds fibered over spheres
with Jens Reinhold
Preprint: arXiv:2107.05892
2020
-
The Minimal Genus of Homology Classes in a Finite 2-Complex
with Mark Pedron
Preprint: arXiv:2002.08485, to appear in Algebraic & Geometric Topology
2018
-
Homological Stability for Spaces of Subsurfaces with Tangential Structure
Preprint: arxiv:1812.06781, to appear in Quaterly Journal of Mathematics -
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
Contact
Thorben KastenholzMathematisches Institut
Bunsenstrasse 3-5
37073 Goettingen, Germany
Office: 204
E-Mail: thorben.kastenholz at mathematik.uni-goettingen.de