Publications
- Exponential Sums and Arithmetic Problems in Function Fields
PhD Thesis, UNSW Sydney, 2025 — unsworks - Bilinear Kloosterman sums in function fields and the distribution of irreducible polynomials
Canadian Journal of Mathematics, 2025 — arxiv - Lattices in function fields and applications
Mathematika, 2024, with B. Kerr — arxiv - Bilinear forms with Kloosterman and Gauss sums in function fields
Finite Fields and Their Applications, 2024 — arxiv - Improved methods for finding imaginary quadratic fields with high n-rank
Proceedings of LuCaNT, 2023, with M. Jacobson, N. Rollick and R. Scheidler — pdf - Square-free smooth polynomials in residue classes and generators of irreducible polynomials
Proceedings of the American Mathematical Society, 2023 — arxiv - Energy bounds, bilinear forms and their applications in function fields
Finite Fields and Their Applications, 2022, with I. Shparlinski — arxiv