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