Mathematics
Research interests
Number theory, in particular local-global principles
Publications
A local-global principle for surjective polynomial maps. Journal of Pure and Applied Algebra 223(6), 2019, pp. 2371-2381.
Preprints
An arithmetic zeta function respecting multiplicities, version of Jan. 16th, 2022.
(This replaces my former preprint Global zeta classes and higher invariants of polynomials from 03/2020.)
Theses
On the Poincaré series of polynomial congruences. Bachelor's thesis, 2017, University of Vienna, supervised by Prof. Dr. Herwig Hauser.
Local methods in Diophantine equations. Master's thesis, 2019, University of Bonn, supervised by Dr. Alisa Sedunova.
Other mathematical notes
Number theory
In this article, we motivate the definition of Eisenstein (cohomology) classes and explain how they can be used to study special values of L-functions. For the sake of simplicity, we restrict ourselves to Eisenstein classes for SL_2 and special values of the Riemann zeta function.
Related: Slides for my talk in the Warwick Junior Number Theory Seminar on Dec. 5th, 2022 on this topic.
Cahen's constant (08/2022)
This article is mainly expository and provides proofs for well-known facts (e.g. transcendence) about Cahen's constant. However, it does not seem to appear in the existing literature that Cahen's constant has best approximation order q^{-3}. (My proof of this fact is currently displayed on the Wikipedia page on Cahen's constant.)
On the Diophantine equation x^2+y^3=z^4 (12/2022, based on an idea from 2014)
In this article, we construct (by elementary means) an infinite family of solutions to the above equation.
Algebraic Geometry
Quasi-compact schemes contain a closed point (03/2020).
Writing adressed to a wider public
Will Hunting und die Graphentheorie (2014). In diesem Text stelle ich eine Lösung für die scheinbar komplizierte Aufgabe aus dem Film Good Will Hunting vor, durch die Professor Lambeau auf Will Huntings mathematisches Talent aufmerksam wird.