PUBLICATIONS AND PREPRINTS

16. Sums of three powerful numbers (with Tim Browning), 2026. (https://arxiv.org/abs/2608.24512)

15. Towards linear growth for biprojective hypersurfaces of small dimension (with Tim Browning), 2026. (https://arxiv.org/abs/2610.13163)

14. Selmer groups of families of elliptic curves with an ℓ-isogeny (with Stephanie Chan), 2025. (https://arxiv.org/abs/2508.21406) 

13. Counting rational points on smooth hypersurfaces with high degree, International Mathematics Research Notices,  Issue 16, 1--18, 2025.  DOI: doi.org/10.1093/imrn/rnaf249. (https://arxiv.org/abs/2503.19451)

12. The density of elliptic curves over Q_p with a rational 3-torsion point or a rational 3-isogeny (with Stevan Gajović and Lazar Radičević), 2025. (https://arxiv.org/abs/2502.08583)

11. Counting integer points on affine surfaces with a side condition (with Tim Browning), Discrete Analysis, Article 12, 1--25, 2025. DOI: doi.org/10.19086/da.143787. (https://arxiv.org/abs/2408.11453)

10. On the L-polynomials of curves over finite fields (with Francesco Ballini and Davide Lombardo), Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 1--49, 2025. DOI: doi.org/10.1017/prm.2025.7. (https://arxiv.org/abs/1807.07370)

9. Divisibility sequences related to abelian varieties isogenous to a power of an elliptic curve (with Stefan Barańczuk and Bartosz Naskręcki), Journal of Number Theory, Volume 279, 170--183, 2026. DOI: doi.org/10.1016/j.jnt.2025.06.001. (https://arxiv.org/abs/2309.09699)

8. Strong divisibility sequences and sieve methods (with Tim Browning), Mathematika, Volume 70 (4), 1--26, 2024. DOI: 10.1112/mtk.12269. (https://arxiv.org/abs/2402.19301)

7. Common valuations of division polynomials (with Bartosz Naskręcki), Proceedings of the Royal Society of Edinburgh Section A: Mathematics 155(5) (2025), 1646--1660. DOI: 10.1017/prm.2024.7. (https://arxiv.org/abs/2203.02015)

6. On the local-global principle for isogenies of abelian surfaces (with Davide Lombardo), Selecta Mathematica, Volume 30 (18), 1--68, 2024. DOI: 10.1007/s00029-023-00908-0. ( https://arxiv.org/abs/2206.15240)

5. Some effectivity results for primitive divisors of elliptic divisibility sequences, Pacific Journal of Mathematics, Volume 325 (2), 331--351, 2023. DOI: 10.2140/pjm.2023.325.331. (https://arxiv.org/abs/2001.02987)

4. A recurrence relation for elliptic divisibility sequences, Rivista di Matematica della Università di Parma, Volume 13 (1), 223--242, 2022. A volume in honour of Roberto Dvornicich on the occasion of his 70th birthday. Link: www.rivmat.unipr.it/vols/2022-13-1/12-verzobio.html.  (https://arxiv.org/abs/2102.07573)

3. Primitive divisors of sequences associated to elliptic curves with complex multiplication, Research in Number Theory, Volume 7 (37), 1--29, 2021. DOI: 10.1007/s40993-021-00267-9. (https://arxiv.org/abs/2010.10175)

2. Primitive divisors of elliptic divisibility sequences for elliptic curves with j=1728, Acta Arithmetica, Volume 198, 129--168, 2021. DOI: 10.4064/aa191016-30-7.  (https://arxiv.org/abs/2001.09634)

1. Primitive divisors of sequences associated to elliptic curves,  Journal of Number Theory, Volume 209, 378--390, 2020. DOI: 10.1016/j.jnt.2019.09.003. (https://arxiv.org/abs/1906.00632)