master thesis
In my master thesis, I calculate the étale cohomology (with torsion coefficients) of FarguesScholze's stack \( \mathrm{Bun}_G \) for \( G = \mathrm{GL}_2 \). More precisely, I can show that the inclusion \(\mathrm{Bun}_2^{\mathrm{ss}} \hookrightarrow \mathrm{Bun}_2 \) of the semistable locus induces an isomorphism on étale cohomology. This calculation involves a proof that the dualizing complex \( R(\mathrm{Bun}_2 \to \mathrm{Spd}(\overline{\mathbb{F}}_q))^{!}\Lambda\) is given just by \( \Lambda \) itself. I am currently trying to remove the errors in a previous version, and will upload a new one as soon as this is done.
lecture notes

Condensed Mathematics
(Lecture notes for a lecture by A.C. Le Bras, LAGA, Summer 2022) 
Hochschild (Co)Homology
(Lecture notes for a lecture by P. Belmans, Bonn, Summer 2021)
seminar talks

Waldhausen \(S\)construction
(Graduate Seminar on Higher Segal spaces, October 2023) 
Cohomology of Galois Gerbes
(Graduate Seminar on the local Langlands conjecture for non quasisplit groups, July 2023) 
Motivic aspects of mixed Hodge theory
(Graduate Seminar on Motivic aspects of Hodge theory, June 2023) 
Tannakian Reconstruction and semisimplicity of the Satake category
(Kleine AG on Satake equivalence, March 2023)