Research

Publications:

1. "The Immersion Poset on Partitions" joint work with Lisa Johnston, David Kenepp, Digjoy Paul, Anne Schilling, Mary Claire Simone, and Regina Zhou. Submitted. arXiv: 2404.07393 

2.  "The kernel of newform Dedekind sums" joint work with Juan J. Ramirez and Matthew P. Young. Journal of Number Theory Vol 223, pp. 53-63 (2021).   

Undergraduate:

• In 2020, I participated in a virtual REU hosted by Texas A&M. I was a member of the Number Theory group mentored by Matthew P. Young. We expanded on work from previous REU students and examined the kernel of newform Dedekind sums which are a class of homomorphisms arising from newform Eisenstein series. Our work resulted in a publication in the Journal of Number Theory.

• For my undergraduate thesis, I developed Sage code to compute invariant polynomials of coregular representations of SL(n) which are representations admitting a Hilbert basis with no relations.