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,
(with Bryce Kerr), submitted, 2025. arXiv:2506.17031
Conferences & Talks
FOUVRY73 — a FOUr-week Voyage thRough analYtic number 7h3ory, Bernoulli Center at EPFL (Lausanne, Switzerland), 17-28 Aug 2026 (upcoming)
TBA
Dynamical Systems Summer School, Tsinghua University (Beijing, China), July 2026 (upcoming)
2026 Chen Jing-Run Prize Conference, Morningside Center of Mathematics CAS (Beijing, China), 15-17 June 2026
Xi’an Meili Number Theory Forum, Xi’an Jiaotong University (Xi’an, China), 12-13 June 2026
The 69th Annual Meeting of the Australian Mathematical Society, La Trobe University (Melbourne, Australia), 9-12 Dec 2025
“Optimal energy condition for metric Poissonian pair correlation“
Number Theory Down Under(er) 13, University of Canterbury (Christchurch, New Zealand), 25-29 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), 21-25 July 2025
"Metric Poissonian pair correlation for real sequences"
Algebraic Combinatorics, Special Functions, and Representation Theory, University of Queensland (Brisbane, Australia), 14-18 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), 9-13 Dec 2024
"Partial sum of the Möbius function under the Riemann hypothesis"
Number Theory Down Under 12, La Trobe University (Bendigo, Australia), 9-12 Sept 2024
"On the Fourier uniformity conjecture"
Harmonic Analysis in Australia, Australian National University (Canberra, Australia), 19-30 Aug 2024
The 67th Annual Meeting of the Australian Mathematical Society, University of Queensland (Brisbane, Australia), 5-8 Dec 2023
Number Theory Down Under 10, University of Queensland (Brisbane, Australia), 26-29 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