Morrey Visiting Assistant Professor

Research Primary Research Area:
Algebra

Research Interests:
Number theory, representation theory

Contact Information 1055 Evans Hall

leabeneish [at] berkeley [dot] edu

https://sites.google.com/view/lea-beneish/home

Year Appointed:
2021


Publications Selected Publications:
On the proportion of locally soluble superelliptic curves. With Christopher Keyes.https://arxiv.org/abs/2111.04697
Rank Jumps and Growth of Shafarevich--Tate Groups for Elliptic Curves in Z/pZ-Extensions. With Debanjana Kundu and Anwesh Ray.https://arxiv.org/abs/2107.09166
Quadratic Chabauty for Atkin-Lehner Quotients of Modular Curves of Prime Level and Genus 4, 5, 6. With Nikola Ad?aga, Vishal Arul, Mingjie Chen, Shiva Chidambaram, Timo Keller, and Boya Wen.https://arxiv.org/abs/2105.04811
Fields generated by points on superelliptic curves. With Christopher Keyes.https://arxiv.org/abs/2103.16672
Module constructions for certain subgroups of the largest Mathieu group. Accepted, Advances in Theoretical and Mathematical Physics.https://arxiv.org/abs/1912.04373
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.https://doi.org/10.1007/s00209-020-02499-4https://arxiv.org/abs/1910.06942
Quasimodular moonshine and arithmetic connections. Transactions of the American Mathematical Society. Volume 372, Number 12, Pages 8793 - 8813, 2019.https://doi.org/10.1090/tran/7874https://arxiv.org/abs/1810.12900
Moonshine modules and a question of Griess. With Victor Manuel Aricheta. Journal of Algebra. Volume 536, Pages 215 - 228, 2019.https://doi.org/10.1016/j.jalgebra.2019.06.039https://arxiv.org/abs/1610.01689
p-adic properties of certain half-integral weight modular forms . With Claire Frechette.Journal of Number Theory. Volume 168, Pages 413 - 432, 2016.https://doi.org/10.1016/j.jnt.2016.04.002https://arxiv.org/abs/1509.00383>
Traces of singular values of Hauptmoduln . With Hannah Larson. International Journal of Number Theory, Vol. 11, No. 3, Pages 1027 - 1048, 2015.https://doi.org/10.1142/S1793042115500542https://arxiv.org/abs/1407.4479