Research

Completed Works

  1. Non-vanishing for quartic Hecke L-functions and ranks of elliptic curves (arXiv)
    With Alexandre de Faveri and Alex Dunn

  2. Arithmetic properties of generalized Frobenius partitions (arXiv, code)
    With Scott Ahlgren

  3. Eisenstein series modulo prime powers (arXiv, journal)
    with Scott Ahlgren and Clayton Williams
    The Proceedings of the AMS, 2026

  4. Surfaces associated to zeros of automorphic L-functions (preprint, website, video)
    with Debmalya Basak & Alexandru Zaharescu.

  5. Sign changes of the error term in the Piltz divisor problem. (arXiv, journal,video)
    with Siegfred Baluyot
    International Mathematics Research Notices, 2024.

Current Projects

  1. An explicit log-free zero density estimate for Dirichlet L-functions (In preparation)
    With Chiarra Belloti

  2. An explicit version of Linnik's Theorem (In preparation)
    With Michaela Cully-Hugill, Jewel Mahajan, Nathan Ng, and Chi Hoi Yip