| Numerical verification of the Birch and Swinnerton-Dyer conjecture for hyperelliptic curves of higher genus over ℚ up to squares R van Bommel Experimental Mathematics 31 (1), 138-145, 2022 | 23 | 2022 |
| Explicit arithmetic intersection theory and computation of Néron-Tate heights R Van Bommel, D Holmes, JS Müller Mathematics of Computation 89 (321), 395-410, 2020 | 23 | 2020 |
| Boundedness in families with applications to arithmetic hyperbolicity R van Bommel, A Javanpeykar, L Kamenova arXiv preprint arXiv:1907.11225, 2019 | 18 | 2019 |
| A user's guide to the local arithmetic of hyperelliptic curves AJ Best, LA Betts, M Bisatt, R van Bommel, V Dokchitser, O Faraggi, ... Bulletin of the London Mathematical Society 54 (3), 825-867, 2022 | 14 | 2022 |
| Abelian varieties of prescribed order over finite fields R van Bommel, E Costa, W Li, B Poonen, A Smith arXiv preprint arXiv:2106.13651, 2021 | 6 | 2021 |
| Almost all hyperelliptic Jacobians have a bad semi-abelian prime R van Bommel Masters thesis, Algant, 2014 | 5 | 2014 |
| Computing isogeny classes of typical principally polarized abelian surfaces over the rationals R van Bommel, S Chidambaram, E Costa, J Kieffer LuCaNT: LMFDB, Computation, and Number Theory 796, 187, 2023 | 4 | 2023 |
| Boundedness in families with applications to arithmetic hyperbolicity R van Bommel, A Javanpeykar, L Kamenova Journal of the London Mathematical Society 109 (1), e12847, 2024 | 3 | 2024 |
| Reduction of Plane Quartics and Cayley Octads R van Bommel, J Docking, V Dokchitser, R Lercier, EL García arXiv preprint arXiv:2309.17381, 2023 | 2 | 2023 |
| Computing torsion for plane quartics without using height bounds R van Bommel arXiv preprint arXiv:2301.08312, 2023 | 2 | 2023 |
| Efficient computation of BSD invariants in genus 2 R van Bommel Arithmetic Geometry, Number Theory, and Computation, 237-258, 2021 | 2 | 2021 |
| Inverse Galois problem for ordinary curves R van Bommel International Journal of Number Theory 14 (05), 1305-1315, 2018 | 2 | 2018 |
| Computing isogeny classes of typical principally polarized abelian surfaces over the rationals R van Bommel, S Chidambaram, E Costa, J Kieffer LuCaNT: LMFDB, Computation, and Number Theory 796, 187, 2024 | 1 | 2024 |
| Reduction of Plane Quartics and Dixmier-Ohno invariants R van Bommel, J Docking, R Lercier, EL García arXiv preprint arXiv:2401.13902, 2024 | 1 | 2024 |
| 17T7 is a Galois group over the rationals R van Bommel, E Costa, ND Elkies, T Keller, S Schiavone, J Voight arXiv preprint arXiv:2411.07857, 2024 | | 2024 |
| The Birch and Swinnerton-Dyer conjecture for an elliptic curve over Q 5 4 R van Bommel Archiv der Mathematik 114 (2), 159-169, 2020 | | 2020 |
| Kwack’s theorem and its applications R van Bommel | | 2019 |
| Models of curves: the birch and Swinnerton-Dyer conjecture & ordinary reduction R Bommel Leiden University, 2018 | | 2018 |
| How to compute regulators using Arakelov intersection theory R van Bommel | | 2018 |
| Models of curves R van Bommel | | 2017 |
