Publications

Preprints

• Refined Chabauty–Kim computations for the thrice-punctured line over Z[1/6]
  accepted for ANTS XVI proceedings in Research in Number Theory
  arXiv:2402.03573
  Sage code: https://github.com/martinluedtke/RefinedCK

• Chabauty–Kim and the Section Conjecture for locally geometric sections
  with L. A. Betts and T. Kumpitsch
  May 2023, submitted
  arXiv:2305.09462

Publications

• Refined Selmer equations for the thrice-punctured line in depth two
  with A. Best, L. A. Betts, T. Kumpitsch, A. McAndrew, L. Qian, E. Studnia, Y. Xu
  Math. Comp. 93 (2024), 1497–1527
  https://doi.org/10.1090/mcom/3898
  arXiv:2106.10145
  Associated Sage code: https://github.com/martinluedtke/dcw_coefficients

• Linear and quadratic Chabauty for affine hyperbolic curves
  with J. S. Müller and M. Leonhardt
  Int. Math. Res. Not. IMRN 21 (2023), 18752–18780
  https://doi.org/10.1093/imrn/rnad185
  arXiv:2301.11193

• The p-adic section conjecture for localisations of curves
  Dissertation, 2020, Goethe-Universität Frankfurt am Main
  Supervisor: Jakob Stix
  urn:nbn:de:hebis:30:3-574318

• Birational Anabelian Geometry of Curves over Algebraically Closed Fields in Arbitrary Characteristic
  Israel Journal of Mathematics 227 (2018), 987–1011
  https://doi.org/10.1007/s11856-018-1757-2
  arXiv:1706.01713

Expository writing

• Foundations of the nonabelian method of Chabauty
  with M. Kim
  Lecture notes for M. Kim’s course at the Arizona Winter School 2020