Felix Göbler

Research

For my research I want to somehow generalize well known results about the Proj of a graded ring to arbitrary gradings by finitely generated abelian groups. This leads to the notion of multihomogeneous spectra, first introduced by Brenner/Schröer in 2007.
It turns out that the grading has major influence on the constructed spectra, in particular on the separatedness.
My final goal is to find a correspondence of the multigrading of a polynomial ring and the separatedness of the corresponding toric prevariety.


Teaching

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

Winter Term 2019/2020 Algebraic Geometry I
Elementarmathematik I
Summer Term 2020 Algebraic Geometry II
Elementarmathematik II
Winter Term 2020/2021 Algebraic Geometry III
Linear Algebra I
Summer Term 2021 Linear Algebra II
Winter Term 2021/2022 Algebra
Summer Term 2022 Commutative Algebra
Elementarmathematik II

My supervisor Prof. Alex Küronya and me are also currently working on a textbook on elementary math (corresponding to the lecture series `Elementarmathematik') that is going to be published by Springer in the course of 2022.


Talks

24.10.2019 Oberseminar Algebra Ulm Numer field sieve (talk on my master thesis)
22.04.2021 DaFraHeiMai/GAUS-Seminar SoSe 2021 The Betti moduli space
09.12.2021 GAUS-Seminar – WiSe 2021/22 A crash course on toric varieties