Publications and preprints

1. Almost all elliptic curves with prescribed torsion have Szpiro ratio close to the expected value. [arXiv:2407.13850]
2. 6-torsion and integral points on quartic surfaces (with Peter Koymans, Carlo Pagano, Efthymios Sofos), submitted. [arXiv:2403.13359]
3. Averages of multiplicative functions along equidistributed sequences (with Peter Koymans, Carlo Pagano, Efthymios Sofos), submitted. [arXiv:2402.08710]
4. Almost all quadratic twists of an elliptic curve have no integral points (with Tim Browning), submitted. [arXiv:2401.04375]
5. The 3-isogeny Selmer groups of the elliptic curves y²=x³+n², Int. Math. Res. Not. IMRN (2024), no.9, 7571–7593. [arXiv:2211.06062]
6. Integral points on cubic twists of Mordell curves, Math. Ann. 388 (2024), 2275–2288. [arXiv:2203.11366]
7. The average number of integral points on the congruent number curves, submitted. [arXiv:2112.01615]
8. A density of ramified primes (with Christine McMeekin, Djordjo Milovic), Res. Number Theory 8 (2022), no. 1, Paper No. 1. [arXiv:2005.10188]
9. Integral points on the congruent number curve, Trans. Amer. Math. Soc. 375 (2022), no. 9, 6675–6700. [arXiv:2004.03331]
10. The 8-rank of the narrow class group and the negative Pell equation (with Peter Koymans, Djordjo Milovic, Carlo Pagano), Forum Math. Sigma 10 (2022), Paper No. e46. [arXiv:1908.01752]
11. Kuroda's formula and arithmetic statistics (with Djordjo Milovic), Math. Z. 300 (2022), no. 2, 1509–1527. [arXiv:1905.09745]
12. Ranks, 2-Selmer groups, and Tamagawa numbers of elliptic curves with ℤ/2ℤ×ℤ/8ℤ-torsion (with Jeroen Hanselman, Wanlin Li), Proceedings of the Thirteenth Algorithmic Number Theory Symposium, 173–189, Open Book Ser., 2, Math. Sci. Publ., Berkeley, CA, 2019. [arXiv:1805.10709]
13. Rational right triangles of a given area, Amer. Math. Monthly 125 (2018), no. 8, 689–703. [arXiv:1706.05919]

• PhD Thesis: On the 2-part of class groups and Diophantine equations, 2020.
• MMath Dissertation: Topics in the theory of zeta functions of curves, 2016.