Research

I study the geometry of (integral models and special fibres of) moduli spaces of shtukas and Shimura varieties and their applications towards the Langlands programme. 

Preprints:

• Normality of Schubert varieties in affine Grassmannians (with Timo Richarz), December 2023, [arxiv]

Refereed Publications (published/accepted):

• Integral models of moduli spaces of shtukas with deep Bruhat-Tits level structures, accepted at IMRN, DOI: 10.1093/imrn/rnae091, [arxiv]

• Compactification of Level Maps of Moduli Spaces of Drinfeld Shtukas, Journal of Algebra 634 (2023) pp. 404-455, [journal], DOI: 10.1016/j.jalgebra.2023.07.033, [arxiv]

• Invariants for the Weil representation and Modular Units for Orthogonal Groups of Signature (2,2), Journal of Number Theory 250 (2023) pp.155-182, [journal], DOI:10.1016/j.jnt.2023.03.002,  [arxiv] 

Other texts:

• The Hecke algebra and Hecke category, Arbeitsgemeinschaft: Geometric Representation Theory, Oberwolfach Reports 18, 2022, [Link] 

• Universally locally acyclic sheaves, Workshop on the Geometric Satake Equivalence after Fargues-Scholze, Clermont Ferrand, 2022, [Link]

Thesis: 

Integral Models of Moduli Spaces of Shtukas with Deep Level Structures, PhD thesis, TUprints, [Link], DOI: 10.26083/tuprints-00022825