Research interests: Analytic Number Theory, focusing on Multiplicative Number Theory, Sieve Methods, Character Sums, Distribution of Primes, Smooth Numbers, Integers with Digital Restrictions.
Research papers:
Almost primes and primes that are sums of two squares plus one (with Likun Xie).
Submitted (2025), 26 pages. (pdf, arXiv)
The distribution of the maximum of cubic character sums (with Youness Lamzouri).
Submitted (2024), 32 pages. (pdf, 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, journal, 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, journal, 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, (pdf, arXiv, journal, 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 (pdf, link). The main results can be found in the paper [5] 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)