Research

Research Interests

My primary research interests lie in analytic number theory. I am particularly drawn to classical problems, including the distribution of primes, the theory of Riemann zeta function, Dirichlet L-functions and related multiplicative functions, exponential and character sums, and applications of sieve methods.

My work also explores number-theoretic problems that arise from, or intersect with, other areas of mathematics, such as arithmetic combinatorics, dynamical systems, harmonic analysis, and probability theory. This includes the study of Poissonian statistics I recently investigated, as well as the Chowla and Sarnak conjectures, which highlight the interplay between multiplicative number theory and topological dynamics.

Preprints & Publications

Metric Poissonian pair correlation for real sequences and energy estimates,

(joint with Bryce Kerr), submitted, 2025. arXiv:2506.17031

Dissertations

Pseudorandomness in Analytic Number Theory,

(in progress), Master thesis, UNSW Canberra, Feb 2024 - Feb 2026 (expected).

Analytic and Sieve Methods in Prime Number Theory,

Honours thesis, University of Queensland, Feb - Nov 2023.

Conferences & Talks

The 69th Annual Meeting of the Australian Mathematical Society, La Trobo University (Melbourne, Australia), Dec 2025

“Optimal energy condition for metric Poissonian pair correlation“

Number Theory Down Under 13, University of Canterbury (Christchurch, New Zealand), Aug 2025

"Metric Poissonian pair correlation for real sequences"

Progress and Emergent Theories in Zeta and L-Functions, Max Planck Institute for Mathematics (Bonn, Germany), July 2025

"Metric Poissonian pair correlation for real sequences"

Algebraic Combinatorics, Special Functions, and Representation Theory, University of Queensland (Brisbane, Australia), July 2025

"Metric Poissonian pair correlation for real sequences"

Early-Career Invited Speaker

The Joint Meeting of the NZMS, AustMS and AMS, University of Auckland (Auckland, New Zealand), Dec 2024

"Partial sum of the Möbius function under the Riemann hypothesis"

Number Theory Down Under 12, La Trobe University (Bendigo, Australia), Sept 2024

"On the Fourier uniformity conjecture"

Harmonic Analysis in Australia, Australian National University (Canberra, Australia), Aug 2024

The 67th Annual Meeting of the Australian Mathematical Society, University of Queensland (Brisbane, Australia), Dec 2023

Number Theory Down Under 10, University of Queensland (Brisbane, Australia), Sept 2022

Other Talks

  • "On the metric Poissonian pair correlation for real sequences", UNSW Number Theory Seminar, May 2025

  • "On the metric Poissonian pair correlation for real sequences", UNSW Canberra Number Theory Seminar, May 2025

  • "Additive energy of real-valued polynomials", UNSW Canberra Number Theory Seminar, April 2025

  • "Distribution of sequences modulo one", UNSW Canberra Number Theory Seminar, Oct 2024

  • "Averages of multiplicative functions", UNSW Canberra Number Theory Seminar, May 2024