Published/Accepted Research Articles

On the distribution of the total number of generators of h-free and h-full elements in an abelian monoid (with W. Kuo, and Y.-R. Liu). Accepted, Czechoslovak Mathematical Journal. https://arxiv.org/abs/2508.12648.
On limiting distributions of arithmetic functions. The Ramanujan Journal (2025) 68:45. https://doi.org/10.1007/s11139-025-01190-8.
On the distribution of the number of distinct generators of h-free and h-full elements in an abelian monoid (with W. Kuo, and Y.-R. Liu). Accepted, Bordeaux Journal of Number Theory. https://arxiv.org/abs/2506.01030.
Distribution of ω(n) over h-free and h-full numbers (with W. Kuo, and Y.-R. Liu), Int. J of Num Th. (2025), World Scientific Publishing Company. https://dx.doi.org/10.1142/S1793042125500368.
On the number of prime factors with a given multiplicity over h-free and h-full numbers (with W. Kuo, and Y.-R. Liu), J. Number Theory 267 (2025), 176–201, https://doi.org/10.1016/j.jnt.2024.08.007.
On the number of irreducible factors with a given multiplicity in function fields (with E. Elma, W. Kuo, and Y.-R. Liu). Finite Fields Appl. 92 (2023), Paper No. 102281, 22 pp. 11N60 (11N37 11N56 11T06), https://doi.org/10.1016/j.ffa.2023.102281.
On the distributions of prime divisor counting functions, Ph.D. Thesis (2025), University of Waterloo, https://uwspace.uwaterloo.ca/items/6918341c-46d0-43ea-8f6e-6236716211b1.
An explicit version of Chebotarev's density theorem, M.Sc Thesis (2020), University of Lethbridge, https://opus.uleth.ca/items/f2d22538-ac3c-4a7a-90bb-0549c82a943e.
Distribution of Arithmetic Functions (with H. Pahwa and X. Xu). Notes from the Margin, Volume XVI (2024), Canadian Mathematical Society Student Committee, https://studc.math.ca/notes-from-the-margin/.

Preprints/Submitted Research Articles

A subset variant of Erdős–Kac theorem over number fields with applications (with W. Kuo, and Y.-R. Liu), Submitted. https://arxiv.org/abs/2506.03215.
Generalizations of Erdős–Kac theorem with applications (with W. Kuo, and Y.-R. Liu). Submitted. https://arxiv.org/abs/2506.02432.
New zero-free regions for Dedekind zeta-functions at small and large ordinates (with S. Gaba, E. S. Lee, A. Savalia, and P. J. Wong). Preprint. https://arxiv.org/abs/2506.19319.
An effective version of Chebotarev's density theorem (with H. Kadiri, and N. Ng). Submitted. https://arxiv.org/abs/2508.09480.

Currently working on...

An explicit version of Chebotarev's density theorem II (with H. Kadiri and N. Ng).
On the distribution of the number of distinct generators of a given multiplicity over subsets of abelian monoids (with W. Kuo, and Y.-R. Liu).