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.

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 Kastenholz
Mathematisches Institut
Bunsenstrasse 3-5
37073 Goettingen, Germany

Office: 204
E-Mail: thorben.kastenholz at mathematik.uni-goettingen.de