Thorben Kastenholz

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.

Publications

2020

• The Minimal Genus of Homology Classes in a Finite 2-Complex with Mark Pedron
  Preprint: arXiv:2002.08485