Preprints

1. Equidistribution and the torsor method (with Ulrich Derenthal and Florian Wilsch) [arXiv:2607.14866]
2. Motivic counting of curves on split quintic del Pezzo surfaces (with Loïs Faisant, Jakob Glas) [arXiv:2603.27668]
3. The inverse problem for the Steiner–Wiener index via additive number theory (with Joshua Shaw) [arXiv:2603.17559]
4. Side lengths of cubes with vertices in $\mathbb{Z}^n$ (with Jens Reinhold) [arXiv:2602.22202]
5. The exceptional set in the abc conjecture [arXiv:2506.13364]
6. Small solutions to homogeneous and inhomogeneous cubic equations [arXiv:2310.02039]

Publications

1. Bounds on the exceptional set in the abc conjecture
   with Tim Browning, Jared Duker Lichtman, Joni Teräväinen
   Comptes Rendus, accepted for publication [arXiv:2410.12234, updated May 2026]
2. Integral points of bounded height on quintic del Pezzo surfaces over number fields
   with Ulrich Derenthal
   Annali della S.N.S. di Pisa, accepted for publication [arXiv:2505.10077]
3. Points of bounded height on quintic del Pezzo surfaces over the rational numbers
   with Ulrich Derenthal
   Festschrift for Yuri Tschinkel’s 60th birthday (Simons Symposia), accepted for publication [arXiv:2505.06065]
4. Integral points over number fields: a Clemens complex jigsaw puzzle
   with Ulrich Derenthal, Judith Ortmann, Florian Wilsch
   Math. Zeitschrift, 2026 [doi:10.1007/s00209-026-04140-2] [arXiv:2601.08774]
5. Points of bounded height on quintic del Pezzo surfaces over number fields
   with Ulrich Derenthal
   Advances in Mathematics, 2025 [doi:10.1016/j.aim.2025.110561][arXiv:2405.20293]
6. 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]
7. Cubic forms over imaginary quadratic number fields and pairs of rational cubic forms
   with Leonhard Hochfilzer
   Transactions of the AMS, 2025 [doi:10.1090/tran/9370] [arXiv:2307.10294]
8. Rational points and lines on cubic hypersurfaces
   Ph.D. thesis, Göttingen 2023 [doi:10.53846/goediss-10116]