Department of Mathematics, University of Michigan
I am currently a postdoc at the University of Michigan. I will be a postdoctoral fellow at MSRI in the Diophantine Geometry program from January to May 2023.
I completed my PhD at University College London in August 2020 under the supervision of Andrew Granville.
My main interest lies in number theory, in particular arithmetic statistics.
My articles on arXiv
Publications and preprints
The 3-isogeny Selmer groups of the elliptic curves y²=x³+n², submitted.
Integral points on cubic twists of Mordell curves, submitted.
The average number of integral points on the congruent number curves, submitted.
A density of ramified primes (with Christine McMeekin, Djordjo Milovic), Res. Number Theory 8 (2022), no. 1, Paper No. 1.
- Integral points on the congruent number curve, Trans. Amer. Math. Soc. 375 (2022), no. 9, 6675–6700. [arXiv:2004.03331]
- 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]
- Kuroda's formula and arithmetic statistics (with Djordjo Milovic), Math. Z. 300 (2022), no. 2, 1509–1527. [arXiv:1905.09745]
- 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]
- Rational right triangles of a given area, Amer. Math. Monthly 125 (2018), no. 8, 689–703. [arXiv:1706.05919]