Published/Accepted Research Articles

Generalizations of Erd\H{o}s-Kac theorem with applications (with W. Kuo, and Y.-R. Liu). Accepted, Canadian Journal of Mathematics. https://arxiv.org/abs/2506.02432.
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.
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). Journal of Mathematical Analysis and Applications, Volume 556, Issue 1, Part 3, (2026) 130212. https://doi.org/10.1016/j.jmaa.2025.130212.
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). Bordeaux Journal of Number Theory, 37 (2025), no. 3, 1041–1081. 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, 33 pages. https://arxiv.org/abs/2506.03215.
An effective version of Chebotarev's density theorem (with H. Kadiri, and N. Ng). Submitted, 56 pages. https://arxiv.org/abs/2508.09480.
On the Selberg-Delange Method in Function Fields (with W. Kuo, Y.-R. Liu, and O. Sharpe). Submitted, 14 pages.

Currently working on...

An explicit version of Chebotarev's density theorem II (with H. Kadiri and N. Ng).
A handbook on generalized weighted additive functions over subsets of abelian monoids satisfying the divisibility criterion (with W. Kuo, and Y.-R. Liu).