Teaching

• Exercise class for the lecture Linear algebra for computer science of Prof. Dr. Karpfinger
• Teaching assistant for the lecture Mathematics for physicists 1 (Linear algebra) of  Prof. Dr. Viehmann (WS 2021/22)
• Exercise class for the lecture Linear algebra for computer science of Prof. Dr. Bauer (SS 2021)
• Abelian varieties (WS 2020/21)
• Exercise class for the lecture Linear algebra for computer science of Prof. Kemper
• Teaching assistant and Zentralübung for the lecture Mathematics for physicists 1 (linear algebra) of Prof. Viehmann (WS 2019/20)
• Exercise class for the lecture Linear algebra for computer science of Prof. Liedtke (SS 2019)
• Algebra 1 (WS 2018/19)
• Teaching assistant for the lecture Linear algebra for computer science of Prof. Viehmann (SS 2018)
• Teaching assistant for the lecture Linear algebraic groups of Prof. Viehmann (WS 2017/18)
• Seminar Quadratic forms (WS 2017/18)
• Teaching assistant for the lecture Algebra 2 of PD Dr. Himstedt (SS 2017)
• Exercise class for the lecture Lineare Algebra und diskrete Strukturen 2 of Prof. Dr. Kemper (SS 2017)
• TeamTUM: Preparatory course for international mathematical competitions (WS 2013/14, SS 2014)
• Seminar Shimura varieties with infinite level structure at pShimura varieties with infinite level structure at p, together with Dr. Ivanov. (WS 2013/14)
• Exercise class for the lecture Linear algebra and analytic geometry 2 von Prof. Dr. Viehmann (SS 2013)
• Seminar Linear algebraic groups together with Prof. Viehmann (WS 2012/13)
• Teaching Assistant for the lecture Algebra 2 of Prof. Viehmann (SS 2012)

Papers and Preprints

• Point Counting on Igusa varieties over funktion fields, with Wansu Kim (preprint)
• On the Tate conjecture in Codimension One for varieties with h^2,0 = 1 over finite fields, with  Ziquan Yang and Xiaolei Zhao (preprint)
• On affine Deligne Lusztig varieties for quasi-split groups (preprint)
• On G-isoshtukas over function fields, with Wansu Kim (preprint)
• Finiteness properties of affine Deligne-Lusztig varieties, with Eva Viehmann, Doc. Math. 25 (2020), p. 899-910 (preprint)
• On the generalisation of cohomology with compact support to non-finite type schemes (preprint)
• l-adic étale cohomology of Shimura varieties of Hodge type with non-trivial coefficients, with Wansu Kim,Math. Ann. 375 (2019), Issue 3-4, pp 973–1044. (preprint)
• Irreducible components of minuscule affine Deligne Lusztig varieties, with Eva Viehmann, Algebra Number Theory 12 (2018), no. 7, 1611–1634. (preprint)
• The product structure of Newton strata in the good reduction of Shimura varieties of Hodge type, J. Algebraic Geom. 28 (2019), 721-749 (preprint)
• The almost product structure of Newton strata in the deformation space of Barsotti-Tate groups with crystalline Tate tensors, Mathematische Zeitschrift, 287 (2017), Issue 3–4, pp 1255–1277 (preprint)
• The geometry of Newton strata in the reduction modulo p of Shimura varieties of PEL type, Duke Mathematical Journal 164 (2015), no. 15, 2809–2895. (preprint)
• The dimension of affine Deligne-Lusztig varieties in the affine Grassmannian of unramified groups, International Mathematical Research Notices, IMRN 2015, no. 23, pp. 12804–12839 (preprint)
• The geometry of Newton strata in the reduction modulo p of Shimura varieties of PEL type, Dissertation, München, 2014
• The p-rank stratification on the Siegel moduli space with Iwahori level structure, Manuscripta Mathematica 143 (2014), pp. 51-80 (preprint)

Links

ERC Consolidator Grant "Newton strata"
Kleine AG "Algebraische Geometrie und Zahlentheorie" in Bayern
Kleine AG "Algebraische Geometrie und Zahlentheorie"