Mathematics Research:
I am a number theorist and enjoy studying Galois representations, modular forms, and elliptic curves. I really enjoy problems that blend computation and theory. More specifically, I am currently studying entanglement fields of elliptic curves. Recently, I have also become interested in arithmetic dynamics.
Papers:
Entanglement of elliptic curves upon base extension (with R. Gajek-Leonard) – International Journal of Number Theory, 21(06), 1297–1315. https://doi.org/10.1142/S1793042125500678 (2025)
Dynamical Irreducibility of Certain Polynomials Over Finite Fields (with R. DeLand, J. Juul , C. Thomas , B. Thompson , and B. Tobin) [project from RNT 4 ] – Finite Fields and Their Applications, 108, 102666. https://doi.org/10.1016/j.ffa.2025.102666 (2025)
Scholarship of Teaching and Learning (SOTL):
As a mathematics educator, I enjoy learning about how students learn and developing innovative pedagogy (especially when that pedagogy lets me collaborate with other campus partners). I am also interested in applying queer theory and queer pedagogy to the higher ed math classroom. Most recently, I’ve been participating in workshops through MHC’s IGD Center to learn more about integroup dialogue pedagogy.
Papers:
How can your writing center make your math students better mathematicians? (with J.E.Lassonde ) MAA Focus, 46(2), 54–56. (2026)
With Students:
I love working with students on research problems! If you are interested in learning more about number theory or getting involved in a research project with me, please reach out. Here is a short list of students I have worked and their project topics:
- Anita Chiragia ’28: worked on writing and using Sage code to compute the cartographic group of a given bipartite graph (alternatively, monodromy group of a given dessin d’enfant) [Summer 2026]
- Namuuna Negi ’27: worked on constructing trees given a partition of 2n and computing their cartographic groups [Summer 2026]
- Minh Le ’28: worked on generalizing an algorithm to look for dynamically irreducible cubics over finite fields and collecting data with that algorithm [Summer 2025]
- Tram Nguyen ’28: worked on looking for dynamically irreducible quartic polynomials over finite fields [Summer 2025]