Algebra und Geometrie
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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 have written a textbook on elementary math (corresponding to the lecture series `Elementarmathematik') that is going to be published by Springer in the course of 2023.
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 |