Preprints
15. How often does a cubic hypersurface have a rational point? With Christopher Keyes.
arXiv:2405.06584. Submitted.
14. The Gross--Kohnen--Zagier theorem via p-adic uniformization. With Henri Darmon, Lennart Gehrmann, and Martí Roset.
arXiv:2403.18688. Submitted.
13. Generalized Ramanujan-Sato Series Arising from Modular Forms. With Angelica Babei, Manami Roy, Holly Swisher, Bella Tobin, Fang-Ting Tu.
arXiv:2202.13253. Submitted.
12. Fields generated by points on superelliptic curves. With Christopher Keyes.
arXiv:2103.16672. Submitted.
Publications
11.Replicable functions arising from code-lattice VOAs fixed by automorphisms. With Jennifer Berg, Eva Goedhart, Hussain M. Kadhem, Allechar Serrano López, Stephanie Treneer.
Journal of Algebra. Volume 642, Pages 159-202, 2024.
10. Rank Jumps and Growth of Shafarevich--Tate Groups for Elliptic Curves in ℤ/pℤ-Extensions. With Debanjana Kundu and Anwesh Ray.
Journal of the Australian Mathematical Society. Volume 116, Issue 1, Pages 1-38, February 2024.
9. Quadratic Chabauty for Atkin-Lehner Quotients of Modular Curves of Prime Level and Genus 4, 5, 6. With Nikola Adžaga, Vishal Arul, Mingjie Chen, Shiva Chidambaram, Timo Keller, and Boya Wen.
Acta Arithmetica. Volume 208. Pages 15-49, 2023.
8. On the proportion of locally soluble superelliptic curves. With Christopher Keyes.
Finite Fields and their Applications. Volume 85, Paper No. 102128, 2023.
7. Module constructions for certain subgroups of the largest Mathieu group.
Advances in Theoretical and Mathematical Physics. Volume 25, Number 7, Pages 1703-1734, 2021.
6. On Weierstrass mock modular forms and a dimension formula for certain vertex operator algebras. With Michael H. Mertens.
Mathematische Zeitschrift. Volume 297, Pages 59–80, 2021.
5. Quasimodular moonshine and arithmetic connections.
Transactions of the American Mathematical Society. Volume 372, Number 12, Pages 8793 - 8813, 2019.
4. Moonshine modules and a question of Griess . With Victor Manuel Aricheta.
Journal of Algebra. Volume 536, Pages 215 - 228, 2019.
3. p-adic properties of certain half-integral weight modular forms . With Claire Frechette.
Journal of Number Theory. Volume 168, Pages 413 - 432, 2016.
2. Traces of singular values of Hauptmoduln . With Hannah Larson.
International Journal of Number Theory, Vol. 11, No. 3, Pages 1027 - 1048, 2015.
1.Two kinds of Frobenius problems in $\mathbb{Z}[\sqrt{m}]$. With Brent Holmes, Peter Johnson, and Tim Lai.
International Journal of Mathematics and Computer Science, (7), no. 2, 93 - 100, 2012.