Research

Interests

  • rational and integral points

  • arithmetic geometry

  • Cox rings and universal torsors

 

Preprints

 
 

Publications

 

  1. Integral points on cubic surfaces: heuristics and numerics

    with Tim Browning
    Selecta Math. 31 (81), 1-65, 2025
    preprint: arXiv:2407.16315*
    code • data and notebooks

  2. Integral points of bounded height on a certain toric variety

    Trans. Amer. Math. Soc. Ser. B 11 (2024), 567-599
    preprint: arXiv:2202.10909
    interactive version of Figure 1

  3. Equidistribution and freeness on Grassmannians

    with Tim Browning and Tal Horesh
    Algebra Number Theory 16 (10), 2385–2407, 2022
    preprint: arXiv:2102.11552

  4. Integral points on singular del Pezzo surfaces

    with Ulrich Derenthal
    J. Inst. Math. Jussieu 23 (3), 1259–1294, 2024
    preprint: arXiv:2109.06778

  5. Integral points of bounded height on a log Fano threefold

    Int. Math. Res. Not. IMRN 8, 6780–6808, 2023
    preprint: arXiv:1901.08503

*preprint differs from published version

 

PhD Thesis

 

Integral points of bounded height via universal torsors

doi:10.15488/9870, 2020