About Research Handouts Competition Math CV

Research

Research projects (preprint and unpublished).

  • On the Existence of Hyperelliptic Curves over $\mathbb{Q}(T)$ with Certain Jacobian Ranks (arXiv, August 2026)

    joint work with Lucas Chen, Steven J. Miller, and Devayani Pradhan.

  • The Fourier Ratio of Elliptic and Hyperelliptic Families (in progress)

    joint work with Yuval Amit, Lucas Chen, Christopher Housholder, Alex Iosevich, Steven J. Miller, Eyvindur Palsson, and Devayani Pradhan.

  • Product and Quotient Set Dominance in Finite Groups (in progress)

    joint work with Yuval Amit, Lucas Chen, Christopher Housholder, Joshua Khan, Steven J. Miller, Mateo Palomares, and Devayani Pradhan.

  • Symmetric and sub-symmetric sums of Dirichlet L-functions (unpublished)

    joint work with Joshua Kou and Alice Wang.