Research interests: Analytic Number Theory, focusing on Multiplicative Number Theory, Sieve Methods, Character Sums, Distribution of Primes, and L-functions.
Research papers:
Diophantine approximation with integers having no large prime factors (with Habibur Rahaman). Preprint (2026), 32 pages, submitted. [arXiv]
Real zeros of L'(s, \chi_d) (with Youness Lamzouri). Preprint (2026), 30 pages, submitted. [arXiv]
On binary correlations of Fourier coefficients of holomorphic cusp forms at prime arguments (with Jiseong Kim). Preprint (2025), 22 pages, submitted. [arXiv]
Almost primes and primes that are sums of two squares plus 1 (with Likun Xie). Acta Arith. 223 (2026), 51-82. DOI: 10.4064/aa250227-19-11, [arXiv]
The distribution of the maximum of cubic character sums (with Youness Lamzouri). Mathematische Annalen, accepted for publication, 32 pages. [arXiv, slides]
Poisson behavior for chains of small quadratic non-residues (with Debmalya Basak and Alexandru Zaharescu). Int. Math. Res. Not. IMRN 2024, no. 4, 3356-3390. DOI: 10.1093/imrn/rnad168, [pdf, slides]
Gaussian phenomena for small quadratic residues and non-residues (with Debmalya Basak and Alexandru Zaharescu). Trans. Amer. Math. Soc. 376 (2023), no. 5, 3695-3724. DOI: 10.1090/tran/8853, [pdf, slides]
Primes with a missing digit: Distribution in arithmetic progressions and an application in sieve theory. J. Lond. Math. Soc. (2) 109 (2024), no. 1, e12837. DOI: 10.1112/jlms.12837, [arXiv, slides]
Ph.D. Thesis:
Primes with a missing digit: distribution in arithmetic progressions and sieve-theoretic applications. Thesis (Ph.D.), Université de Montréal, 2021.
DOI: 1866/26278. The main results can be found in the paper [8] above.
Refereed for Journals:
Acta Arithmetica (3), Canadian Mathematical Bulletin, Forum Mathematicum, International Mathematics Research Notices (2), Journal de Theorié des Nombres de Bordeaux, Journal of Mathematical Analysis and Applications, Mathematical Proceedings of the Cambridge Philosophical Society, Mathematika, Research in Number Theory.