Johannes Witzig

About me

I was a PhD student in mathematics at the University of Regensburg, supported by the SFB 1085 Higher Invariants. My advisor was Clara Löh.

Broadly speaking, i can be interested in most forms of (pure) mathematics, including computer science. Currently, my main interests lie within algebraic topology and (∞-)category theory.

Particularly, i was working on topics related to functorial semi-norms, such as the ℓ¹-semi norm on singular homology. The latter is the main ingredient in the definition of simplicial volume.

(Pre)prints

• (06/2023) Universality and Examples in the Context of Functorial Semi-Norms
  Doctoral thesis. Available at epub.uni-regensburg.de/54396
• (09/2022) Universal finite functorial semi-norms. arXiv:2209.12971
  Joint work with Clara Löh.
• (03/2022) Abstract Excision and ℓ¹-Homology. arXiv:2203.06120

Contact

I don't have an office at the university anymore.