Research
Below are my publications and preprints.
Thesis
- Non-archimedean Relative Characters and the Orbit Method. PhD thesis.
Publications and Preprints
- Trajan Hammonds. Relative character asymptotics beyond stability for PGL2 x GL1 arXiv preprint (2026).
- Anshul Adve and Trajan Hammonds. Optimal L4 estimates via fourier analysis. Preliminary draft (2025).
- Trajan Hammonds, Seoyoung Kim, Steven J. Miller, Arjun Nigam, Kyle Onghai, Dishant Saikia, and Lalit Sharma. k-Diophantine m-tuples in finite fields. International Journal of Number Theory 19 (2023), No. 4, 891–912.
- Fatma Cicek, Giuliana Davidoff, Sarah Dijols, Trajan Hammonds, Aaron Pollack, and Manami Roy. The completed standard L-function of modular forms on G2. Mathematische Zeitschrift 302 (2022), 483–517.
Publications from undergrad
- Trajan Hammonds, Casimir Kothari, Noah Luntzlara, Steven J. Miller, Jesse Thorner, and Hunter Wieman. Explicit Sato-Tate conjecture for primes in arithmetic progressions. International Journal of Number Theory 17 (2021), No. 8, 1905–1923.
- Trajan Hammonds, Seoyoung Kim, Benjamin Logsdon, Alvaro Lozano-Robledo, and Steven J. Miller. Rank and bias in families of hyperelliptic curves via Nagao’s conjecture. Journal of Number Theory, Volume 215 (2020), 339–361.
- Trajan Hammonds, Jeremy Johnson, Angela Patini, and Robert Walker. Counting roots of polynomials over (Z/pZ)2. Houston Journal of Mathematics, Volume 44, Number 4 (2018), 1111–1119.