Research

The Brenner-Schröer generalization of the Proj construction to more arbitrary graded rings yields a scheme that is not separated in many cases. In return, it is possible to assign a system of fans to a multigraded ring, giving the Proj construction the structure of a toric prevariety.  
The goal is to find a reverse construction that also applies to the coordinate ring of a toric variety as well as to study the properties of the multigraded Proj compared to the classical one

Teaching

I prepare(d) the exercise classes for the following lectures

My supervisor Prof. Alex Küronya and me have written a textbook on elementary math (corresponding to the lecture series `Elementarmathematik') that has been published by Springer in august 2023.

Talks