Fakultät für Mathematik | Universität Regensburg |
I am a PhD student at the University of Regensburg, supervised by
Prof. Dr. Clara Löh.
I am a member and partially funded by the SFB 1085 "Higher Invariants".
I'm interested in: L^{2}-Betti numbers, log-torsion growth,
simplicial volume,
proof assistants for the working mathematician (especially
Lean)
Invited talks
06.12.2022 | “Homology growth of inner amenable groups in degree one” at Oberseminar Topology, Georg-August-Universität Göttingen |
27.09.2022 | “Implementing Amenable Groups in Lean” at the workshop Recent Advances in Bounded Cohomology, University of Regensburg (Lean source code) |
09.05.2022 | “$L^2$ -Betti numbers and computability of reals” at the International young seminar on bounded cohomology and simplicial volume |
24.03.2022 | “Computability of $L^2$ -Betti Numbers” at the Geometry Graduate Colloquium, ETH Zürich |
21.01.2022 | “Computability and $\ell^2$ -Betti Numbers” at Oberseminar Algebra und Geometrie, Heinrich Heine-Universität Düsseldorf |
Preprints
Master's thesis
I wrote my master's thesis “Computability and $\ell^2$ -Betti Numbers” (pdf) under the supervision of Prof. Dr. Clara Löh. Some of the results were implemented using the Lean Theorem Prover. The project can be found here.Miscellaneous
Teaching
Winter term 2022/23 | TA for Open Covers and complexity (à la Lusternik--Schnirelmann) Tutor for Applied Algebraic Topology Organiser of the Online Seminar on Bounded Cohomology and Simplicial Volume (joint with Federica Bertolotti and Kevin Li) |
Summer term 2022 | Tutor for Geometric Group Theory |
Winter term 2021/22 | TA for Proof Lab: Simplicial Topology Tutor for Algebraic Topology |
Summer term 2021 | Tutor for Geometrie (Lehramt Gymnasium) |
Winter term 2020/21 | Tutor for Analysis I |
Summer term 2020 | Tutor for Analysis auf Mannigfaltigkeiten (Analysis IV) |
Summer term 2019 | Tutor for Einführung in Wahrscheinlichkeitstheorie und Statistik |
Winter term 2018/19 | Tutor for Algebra |
Summer term 2018 | Tutor for Lineare Algebra II |
Winter term 2017/18 | Tutor for Lineare Algebra I |
Short CV
2021 - present | PhD student at the University of Regensburg |
2019 - 2021 | MSc in Mathematics at the University of Regensburg
Master's thesis: “Computability and $\ell^2$ -Betti Numbers” |
09/2019 - 01/2020 | ERASMUS stay at the Université de Bordeaux |
2016 - 2019 | BSc in Mathematics at the University of Regensburg
Bachelor's thesis: “Chromatic Number of Groups” |
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Last Updated: Dec 18, 2022