Research interests: Analytic Number Theory, focusing on Multiplicative Number Theory, Sieve Methods, Character Sums, and Distribution of Primes.
Research papers:
On binary correlations of Fourier coefficients of holomorphic cusp forms at prime arguments (with Jiseong Kim).
Submitted (2025), 22 pages. [arXiv]
Real zeros of L'(s, \chi_d) (with Youness Lamzouri).
Submitted (2025), 24 pages. [arXiv]
Almost primes and primes that are sums of two squares plus one (with Likun Xie).
Acta Arithmetica, to appear, 26 pages. [arXiv]
The distribution of the maximum of cubic character sums (with Youness Lamzouri).
Submitted (2024), 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. 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 [7] above.
Undergraduate Reading Projects:
Theta Functions, Eisenstein Series and Ramanujan's Congruences for Partition Functions (under Prof. Nayandeep Deka Baruah at Tezpur University, Assam, India), May-June, 2015. [pdf]
Dirichlet's theorem on primes in arithmetic progressions (under Dr. Soumya Das at the Indian Institute of Science, Bengaluru, India), May-July, 2013. [pdf]