Previous lectures/example classes/tutorials/seminars I taught:
2024/25: Arithmetic of Elliptic Curves, lecture and examples class, Frankfurt
2024: Algebraic number theory 2, exercise sheets, Heidelberg
2023/24: Étale cohomology 1, example classes, Heidelberg
2023: Galois cohomology 2, example classes, Heidelberg
2022/23: Galois cohomology 1, example classes, Heidelberg
2022/23: Visualising root systems, HEGL student project with A. Strupp, Heidelberg, link
2022: Galois and fundamental groups, seminar, Heidelberg
2021: Arithmetic of Elliptic Curves, lecture and example class, Heidelberg
2020/21: Algebra 1, teaching assistant and example classes, Heidelberg
2020/21: p-adic numbers, proseminar, Heidelberg
2020: Lubin-Tate-theory, seminar, Heidelberg
2020: E-Learning challenge about digital realisation of seminars, Heidelberg
2019: Number fields, supervision, Cambridge
2019: Algebraic geometry, supervision, Cambridge
2018: Lie algebras and their representations, teaching assistant, Cambridge
2018: Groups, rings, modules, supervision, Cambridge
2017: Lie algebras and their representations, teaching assistant, Cambridge
2017: Number fields, supervision, Cambridge
2016: Number fields, supervision, Cambridge
2016: Number theory, supervision, Cambridge
2016: Number fields, supervision, Cambridge
2016: Number fields, supervision, Cambridge
2015: Linear algebra, supervision, Cambridge
2015: Functional analysis, example class, Heidelberg
2014/15: Advanced mathematics 3 for physicists, example class, Heidelberg
2013: Coding and cryptography, seminar, Karlsruhe
2012/13: Mathematics 3 for economical engineers, example class, Karlsruhe
2012/13: Stochastic geometry, lecture notes, Karlsruhe
2012: Probability theory, example class, Karlsruhe
2012: Spatial stochastics, lecture notes, Karlsruhe
2011/12: Introduction to stochastics, example class, Karlsruhe
2011: Mathematics 2 for economical engineers, example class, Karlsruhe
2010/11: Mathematics 1 for economical engineers, example class, Karlsruhe
Undergraduate (bachelor and master) theses I supervised:
I. Gernand: Inverse Galois theory for the groups D_4 and C_5, Heidelberg
T. Karl: Wieferich's theorem, Heidelberg
D. Kliemann: Infinitely many irregular primes under congruence conditions, Heidelberg
P. Mack: Quadratic forms over Q, Heidelberg
C. Merten: Resolution of unbounded complexes, Heidelberg
J. Niederer: Inverse Galois theory for the groups C_4 and D_5, Heidelberg
R. Paus: Relations in ramification groups, Heidelberg
S. Sader: Hurwitz quaternions and the theorem of Lagrange, Frankfurt
T. Saldi: Algebraic geometry codes and the Weil conjectures, Frankfurt
C. Sautter: Solubility of the cubic Fermat equation in quadratic number fields, Heidelberg
K. Seefeldt: Henselian fields and Newton polygons, Heidelberg
J. Walizadeh: Axiomatic characterization of global fields using the product formula, Frankfurt
J. Wolff: Hilbert's Irreducibility Theorem, Heidelberg
Study groups I (co-)organised:
2025: Katz-Rabinoff-Zureick-Brown's uniformity for rational points, Boston
2025: Litt's arithmetic representations of fundamental groups, Frankfurt and Heidelberg
2023: Zavyalov's six functor formalism and Poincaré duality, Heidelberg
2023: "What is ...?" seminar, Heidelberg
2019: Kleine AG on Serre's Modularity Conjecture, Bonn
2017: Cerednik-Drinfeld's p-adic uniformization of Shimura curves, Cambridge
2017: perfectoid spaces and Scholze's torsion paper, Cambridge
Study groups (as participant):
2024/25: Mochizuki's proof of the Hom-Conjecture, Frankfurt and Heidelberg
2024: Petrov's universality of the Galois action on the thrice-punctured line, Frankfurt
2024: Cesnavicius' puritiy for flat cohomology, Heidelberg
2023/24: Bresciani's étale fundamental gerbe, Heidelberg and Frankfurt
2023/24: Darmon-Vonk's rigid meromorphic cocycles, Heidelberg
2022/23: K-theory of the integers, Heidelberg and Mainz
2022: Tamagawa's Grothendieck Conjecture for affine curves, Heidelberg and Frankfurt
2021/22: Hübner-Schmidt's tame cohomology, Heidelberg
2021/22: Fornea-Gehrmann's plectic Stark-Heegner points, Heidelberg
2021: Henselian Huber pairs, algebraic K-theory, Chabauty-Kim theory, Heidelberg
2021: Boxer-Pilloni's higher Hida theory, Heidelberg
2020/21: Clausen-Scholze's condensed mathematics, Heidelberg
2020: Lawrence-Venkatesh's Diophantine problems and p-adic period mappings, Heidelberg
2019: Deligne-Lusztig theory, Cambridge
2019: Deligne-Mumford's moduli space of stable curves, Cambridge
2018: Lawrence-Venkatesh's proof of the Mordell conjecture, Cambridge
2018: Cycles on Shimura varieties, Cambridge
2018: Geometric Satake equivalence, Cambridge
2018: V. Lafforgue's shtukas and excursion operators, Cambridge
2017: Scholze-Weinstein's moduli of p-divisible groups, Cambridge
2017: Drinfeld's work, Cambridge
2016: Kolyvagin's Euler system of Heegner points, based on notes by T. Weston, Cambridge
2016: Scholze's Langlands-Kottwitz method for the modular curve, Cambridge