Publications

[10] (with S. Chan, P. Koymans, and C. Pagano) On the negative Pell equation. ArXiv e-prints, page arXiv:1908.01752, 2019. [arXiv]

[9] (with S. Chan) Kuroda's formula and arithemtic statistics. ArXiv e-prints, page arXiv:1905.09745, 2019. [arXiv]

[8] On the equations $x^2-2py^2=-1, \pm 2$. ArXiv e-prints, page arXiv:1812.02650, 2018. [arXiv]

[7] (with P. Koymans) Joint distribution of spins. ArXiv e-prints, page arXiv:1809.09597, 2018. [arXiv]

[6] (with P. Koymans) On the 16-Rank of class groups of $\mathbb{Q}(\sqrt{-2p})$ for primes $p\equiv 1\bmod 4$. Int. Math. Res. Notices, rny010:1–22, 2018. [arXiv]

[5] Divisibility by 16 of class numbers in families. Nieuw Archief voor Wiskunde (5), 19(4):254-258, 2018.

[4] (with P. Koymans) Spins of prime ideals and the negative Pell equation $x^2 − 2py^2 = −1$. Compos. Math., 155(1):100-125, 2019. [arXiv]

[3] On the 8-rank of class groups of $\mathbb{Q}(\sqrt{-4pq})$, \mathbb{Q}(\sqrt{-8pq}), and $\mathbb{Q}(\sqrt{8pq})$. Int. J. Number Theory 14 (2018), no. 8, 2165-2193. [arXiv]

[2] On the 16-rank of class groups of $\mathbb{Q}(\sqrt{-8p})$ for $p\equiv -1 \bmod 4$. Geom. Funct. Anal. 27 (2017), no. 4, 973–1016. [arXiv]

[1] The infinitude of $\mathbb{Q}(\sqrt{-p})$ with class number divisible by $16$. Acta Arith. 178 (2017), no. 3, 201–233. [arXiv]