Faculty Profile

Lea Beneish

Title
Assistant Professor
Department
Mathematics
College
College of Science

    

Education

PhD, Emory University, 2019.
Major: Mathematics

Current Scheduled Teaching*

MATH 5520.001, Modern Algebra, Fall 2024
MATH 4900.705, Special Problems, Fall 2024
MATH 5900.704, Special Problems, Fall 2024

* Texas Education Code 51.974 (HB 2504) requires each institution of higher education to make available to the public, a syllabus for undergraduate lecture courses offered for credit by the institution.

Previous Scheduled Teaching*

MATH 3510.002, Abstract Algebra I, Spring 2024 Syllabus SPOT
MATH 2700.005, Linear Algebra and Vector Geometry, Fall 2023 Syllabus SPOT
MATH 2700.009, Linear Algebra and Vector Geometry, Fall 2023 Syllabus SPOT

* Texas Education Code 51.974 (HB 2504) requires each institution of higher education to make available to the public, a syllabus for undergraduate lecture courses offered for credit by the institution.

Published Publications

Published Intellectual Contributions

Journal Article
Beneish, L., Berg, J., Goedhart, E., Kadhem, H. M., Serrano López, A., Treneer, S. (2024). 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., 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
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. (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

Awarded Grants

Contracts, Grants and Sponsored Research

Grant - Research
Beneish, L., "AIM Squares grant," Sponsored by American Institute for Mathematics, Other, $30960 Funded. (December 21, 2021 – Present).
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. (January 1, 2024December 31, 2026).
Beneish, L., "AMS-Simons Travel Grant," Sponsored by American Mathematical Society and Simons, Private, $5000 Funded. (July 1, 2022June 30, 2024).
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Overall
Summative Rating
Challenge and
Engagement Index
Response Rate

out of 5

out of 7
%
of
students responded
  • Overall Summative Rating (median):
    This rating represents the combined responses of students to the four global summative items and is presented to provide an overall index of the class’s quality. Overall summative statements include the following (response options include a Likert scale ranging from 5 = Excellent, 3 = Good, and 1= Very poor):
    • The course as a whole was
    • The course content was
    • The instructor’s contribution to the course was
    • The instructor’s effectiveness in teaching the subject matter was
  • Challenge and Engagement Index:
    This rating combines student responses to several SPOT items relating to how academically challenging students found the course to be and how engaged they were. Challenge and Engagement Index items include the following (response options include a Likert scale ranging from 7 = Much higher, 4 = Average, and 1 = Much lower):
    • Do you expect your grade in this course to be
    • The intellectual challenge presented was
    • The amount of effort you put into this course was
    • The amount of effort to succeed in this course was
    • Your involvement in course (doing assignments, attending classes, etc.) was
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