Preprints

1. Bounds on the exceptional set in the abc conjecture (mit Tim Browning, Jared Duker Lichtman, Joni Teräväinen) [arXiv:2410.12234, aktualisiert May 2026]
2. Motivic counting of curves on split quintic del Pezzo surfaces (mit Lois Faisant, Jakob Glas) [arXiv:2603.27668]
3. The inverse problem for the Steiner–Wiener index via additive number theory (mit Joshua Shaw) [arXiv:2603.17559]
4. Side lengths of cubes with vertices in ${\mathbb{Z}}^n$ (mit Jens Reinhold) [arXiv:2602.22202]
5. Integral points over number fields: a Clemens complex jigsaw puzzle (mit Ulrich Derenthal, Judith Ortmann, Florian Wilsch) [arXiv:2601.08774]
6. The exceptional set in the abc conjecture [arXiv:2506.13364]
7. Integral points of bounded height on quintic del Pezzo surfaces over number fields (mit Ulrich Derenthal) [arXiv:2505.10077]
8. Points of bounded height on quintic del Pezzo surfaces over the rational numbers (mit Ulrich Derenthal) [arXiv:2505.06065]
9. Small solutions to homogeneous and inhomogeneous cubic equations [arXiv:2310.02039]

Veröffentlichungen

1. Points of bounded height on quintic del Pezzo surfaces over number fields
   mit Ulrich Derenthal
   Advances in Mathematics, 2025 [doi:10.1016/j.aim.2025.110561][arXiv:2405.20293]
2. The singular series of a cubic form in many variables and a new proof of Davenport’s Shrinking Lemma
   Bulletin London Math. Soc., 2025 [doi:10.1112/blms.13221] [arXiv:2310.02036]
3. Cubic forms over imaginary quadratic number fields and pairs of rational cubic forms
   mit Leonhard Hochfilzer
   Transactions AMS, 2025 [doi:10.1090/tran/9370] [arXiv:2307.10294]
4. Rational points and lines on cubic hypersurfaces, Dissertation an der Universität Göttingen