Research Interests

My research lies in both algebraic and analytic number theory. I am particularly interested in density problems related to integral sequences, as my PhD focuses on such problems in the theory of Lucas sequences and other related sequences. I also study arithmetic properties of sequences, such as their primitive divisors.

Published papers and preprints

• Divisibility of the Multiplicative Order Modulo Monic Irreducible Polynomials Over Finite Fields
  Journal of Number Theory, 277 (2025), 105–123, journal, arXiv, PDF
• Primitive Prime Divisors of Polynomial Lucas Sequences
  Journal of Algebra, 672 (2025), 400–412, journal, arXiv, PDF
• Multinomial Catalan Numbers and Lucas Analogues
  Journal of Integer Sequences, 26 (2023), Article 23.9.7, journal, arXiv, PDF