Cruz Castillo

Hello! I am a VAP at Georgia Tech under the supervision of Alex Dunn. I was PhD student at UIUC in Number Theory. My advisor is Scott Ahlgren. I was also a Sloan Scholar and a NSF graduate research fellow. Modular forms, Maass forms, and L-functions are all of great interest to me. I enjoy using a blend of theoretical tools and computations in my research. With Alex, I will be organizing PANTS XLI at Georgia Tech. Here is a link if you are interested in attending: PANTS XLI.

Cruz Castillo

Accepted/Submitted Papers arXiv

  1. Non-vanishing for quartic Hecke L-functions and ranks of elliptic curves (65pp., arXiv)
    With Alexandre de Faveri and Alex Dunn

  2. Arithmetic properties of generalized Frobenius partitions (16pp., arXiv, code)
    With Scott Ahlgren

  3. Eisenstein series modulo prime powers (12pp., arXiv)
    with Scott Ahlgren and Clayton Williams
    Accepted for publication at The Proceedings of the AMS

  4. Surfaces associated to zeros of automorphic L-functions (48pp., preprint, website, video)
    with Debmalya Basak & Alexandru Zaharescu.

  5. Sign changes of the error term in the Piltz divisor problem. (29pp., arXiv, journal, video)
    with Siegfred Baluyot
    International Mathematics Research Notices, 2024.

Computations