Here you can find my publications.
- "On the prime power conjecture for finite projective planes" (master's thesis), 2020 (click here to download)
My master's thesis deals with the conjecture that the order of a finite projective plane is always a prime power. Besides the history of the conjecture I wrote down a proof of the conjecture for translation planes that needs only few preliminary results and an overview of all known finite projective planes that are not translation planes. The rest of the thesis deals with various approaches to the conjecture by a Chinese mathematician which however contained some errors. At the end I also made some calculations on my own. -
"Über Assoziationsschemata und Codes" (bachelor's thesis), 2017 (click here to download)
My bachelor's thesis deals with association schemes, in particular the association scheme of symmetric bilinear forms. The goal was to collect the basic results of the theory of association schemes, to analyse the association scheme of symmetric bilinear forms, and to prove bounds on the size of codes in this scheme. Starting point was the article "Symmetric bilinear forms over finite fields with applications to coding theory" by Kai-Uwe Schmidt.