Lea Beneish

Previous Scheduled Teaching

Published Intellectual Contributions

Journal Article

• Beneish, L., Keyes, C. (2025). How often does a cubic hypersurface have a rational point?. Selecta Mathematica. 31 (5) 34.
• Beneish, L., Keyes, C. (2025). Fields generated by points on superelliptic curves. Journal of Number Theory. 278 380-421. https://www.sciencedirect.com/science/article/pii/S0022314X2500143X
• Beneish, L., Darmon, H., Gehrmann, L., Roset, M. (2024). The Gross–Kohnen–Zagier theorem via p-adic uniformization. Mathematische Annalen. . (.) 49. Berlin, Springer Science and Business Media LLC. https://doi.org/10.1007/s00208-024-03061-x
• Beneish, L., Kundu, D., Ray, A. (2024). Rank Jumps and Growth of Shafarevich--Tate Groups for Elliptic Curves in ℤ/pℤ-Extensions. Journal of the Australian Mathematical Society. 116 1-38. https://doi.org/10.1017/S1446788723000034
• Babei, A., Beneish, L., Roy, M., Swisher, H., Tobin, B., Tu, F. (2024). Generalized Ramanujan–Sato Series Arising from Modular Forms. 87-131. Springer International Publishing. https://doi.org/10.1007/978-3-031-51677-1_3
• Beneish, L., Keyes, C. (2023). On the proportion of locally soluble superelliptic curves. Finite Fields and Their Applications. 85 (102128) 85 Pages. https://doi.org/10.1016/j.ffa.2022.102128
• Adžaga, N., Arul, V., Beneish, L., Chen, M., Chidambaram, S., Keller, T., Wen, B. (2023). Quadratic Chabauty for Atkin-Lehner Quotients of Modular Curves of Prime Level and Genus 4, 5, 6. Acta Arithmetica. 208 15--49. https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/online/115146/quadratic-chabauty-for-atkin-lehner-quotients-of-modular-curves-of-prime-level-and-genus-4-5-6
• Beneish, L., Berg, J., Goedhart, E., Kadhem, H.M., Serrano López, A., Treneer, S. Replicable functions arising from code-lattice VOAs fixed by automorphisms. Journal of Algebra. 642 159-202. https://doi.org/10.1016/j.jalgebra.2023.12.008
• Beneish, L. (2021). Module constructions for certain subgroups of the largest Mathieu group. Advances in Theoretical and Mathematical Physics. 25 (7) 1703--1734. https://www.intlpress.com/site/pub/pages/journals/items/atmp/content/vols/0025/0007/a002/index.php
• Beneish, L., Mertens, M. (2021). On Weierstrass mock modular forms and a dimension formula for certain vertex operator algebras. Mathematische Zeitschrift. 297 (1-2) 59-80. https://doi.org/10.1007/s00209-020-02499-4
• Aricheta, V., Beneish, L. (2019). Moonshine modules and a question of Griess. Journal of Algebra. 536 215--228. https://doi.org/10.1016/j.jalgebra.2019.06.039
• Beneish, L. (2019). Quasimodular moonshine and arithmetic connections. Transactions of the American Mathematical Society. 372 (12) 8793--8813. https://doi.org/10.1090/tran/7874
• Beneish, L., Frechette, C. (2016). p-Adic properties of coefficients of certain half-integral weight modular forms. Journal of Number Theory. 168 413-432. https://doi.org/10.1016/j.jnt.2016.04.002
• Beneish, L., Larson, H. (2015). Traces of singular values of Hauptmoduln. International Journal of Number Theory. 11 (3) 1027--1048. https://www.worldscientific.com/doi/abs/10.1142/S1793042115500542
• Beneish, L., Holmes, B., Johnson, P., Lai, T. (2012). Two Kinds of Frobenius Problems in Z[\sqrt{m}]. International Journal of Mathematics and Computer Science. 7 (2) 93-100. http://ijmcs.future-in-tech.net/7.2/R-Johnsonpjtwo.pdf

Contracts, Grants and Sponsored Research

Grant - Research

• Beneish, L., "Simons MP-TSM," sponsored by Simons, Private, $42000 Funded. (2024 - 2029).
• Beneish, L. (Principal), Richter, O.K. (Co-Principal), Shepler, A.V. (Co-Principal), "TORA Conference Grant NSF (DMS-2347096)," sponsored by National Science Foundation, Federal, $20000 Funded. (2024 - 2026).
• Beneish, L., "LEAPS-MPS: Geometric Arithmetic Statistics: on the relative abundance of points on plane curves (DMS-2418835)," sponsored by NSF, Federal, $249971 Funded. (2024 - 2026).
• Beneish, L. (Principal), Bertoloni-Meli, A. (Co-Principal), Kundu, D. (Co-Principal), Richter, O.K. (Co-Principal), "NSF (DMS-2442586) Conference: Workshop on Automorphic Forms and Related Topics," sponsored by National Science Foundation, Federal, $33800 Funded. (2025 - 2025).
• Beneish, L., "AIM Squares grant," sponsored by American Institute for Mathematics, National, $30000 Funded. (2021 - 2025).
• Beneish, L., "Number Theory Foundation grant for TORA Conference," sponsored by Number Theory Foundation, National, $2000 Funded. (2024 - 2024).
• Beneish, L., "AMS-Simons Travel Grant," sponsored by American Mathematical Society and Simons, Private, $5000 Funded. (2022 - 2024).