Publications

Here are all of my papers.

Publications:

  1. Elliptic curves with complex multiplication and abelian division fields, with Álvaro Lozano-Robledo
    (Journal of the London Mathematical Society, Vol. 110, No. 6 (2024), e70031)
  2. Sums of powers by L’Hopital’s rule, with Eduardo Dueñez and Steven J. Miller
    (To appear in Fibonacci Quarterly)
  3. Towards a classification of \(p^2\)-discriminant ideal twins over number fields, with Alyson Deines, Andreea Iorga, Changningphaabi Namoijam, Manami Roy, and Lori D. Watson
    (To appear in Research Directions in Number Theory: Women in Numbers VI)
  4. The probability of non-isomorphic group structures of isogenous elliptic curves in finite field extensions, II, with John Cullinan, Shanna Dobson, Linda Frey, Roberto Hernandez, Nathan Kaplan, Jorge Mello, and Gabrielle Scullard
    (Journal of Number Theory, Vol. 266 (2025), 131-165)
  5. Asymptotic Distribution of the Partition Crank, with Aaron Kriegman and Wei-Lun Tsai
    (Ramanujan Journal, Vol. 56 (2021), 803–820)
  6. Eta-quotients of prime or semiprime level and elliptic curves, with Michael Allen, Nicholas Anderson, Ben Oltsik, and Holly Swisher
    (Involve, Vol. 13, No. 5 (2020), 879-900)

Preprints:

  1. Genus formulas for families of modular curves, with Jun Bo Lau
    (Submitted)
  2. Bounds for the relative class number problem for function fields, with Santiago Arango-Piñeros, María Chara, Kiran Kedlaya, and Gustavo Rama
    (Submitted, SageMath and Magma Code)
  3. The maximal abelian extension contained in a division field of an elliptic curve over \(\mathbb{Q}\) with complex multiplication
    (Submitted, Magma Code)

In Preparation:

  • Towards a classification of n-discriminant ideal twins over number fields, with Alyson Deines, Andreea Iorga, Changningphaabi Namoijam, Manami Roy, and Lori D. Watson

Ph.D. Thesis:

Undergraduate Honors Thesis: