A study on p-divisibility of class numbers of certain family of imaginary quadratic fields (with R. Muneeswaran) To appear in the Ramanjuan Journal of Mathematics, 2024 arXiv:2111.04387
Modular degree and a conjecture of Watkin (with S. Bhakta and P. Sunil Kumar). To appear in the
BP proceedings on modularity and generalized Fermat equations, 2024. arXiv:2308.13708
Congruence classes for modular forms over small sets (with S. Bhakta and R. Muneeswaran), 2024. To appear in the International Journal of Number Theory. arXiv:2302.02725
Some New congruences for l-regular multipartitions (with A. Sarma). arXiv:2311.03248
Towards Iizuka’s conjecture on the divisibility of class numbers of quadratic fields (with P. Sunil Kumar and R. Muneeswaran) Class groups of number fields and related topics (ICCGNFRT-2023). arXiv:2311.08710
The Eisenstein and winding elements of modular symbols for odd square-free level. To appear in the Indian Journal of Pure and Applied Mathematics, 2022. http://rdcu.be/cZrf5
Some congruences for (S,T)-regular bipartitions modulo T. (with T. Kathiravan), Integers, 2021. No. A15.
Some new congruences for l-regular partitions modulo 13, 17, and 23. (with S. Abinash and T. Kathiravan, Hardy-Ramanujan Journal, 2019, volume 42,73 – 84.
Lifting congruences to weight 3/2 (with N. Dummigan). Journal of Ramanujan Mathematical Society. Dec. 2017, 431– 440.
A note on the coefficients of a Cohen-Eisenstein series, International Journal of Number Theory, vol. 12, no. 5, 2016, 1149 – 1161.
On sign changes for almost prime coefficients of half-integral weight modular forms (with Ram Murty), Mathematika, vol 62, no. 03, 2016, 801 – 810.
On the Eisentein elements of level a product of two distinct primes(with Debargha Banerjee), Pacific Journal of Mathematics, 281, 2016, 257 – 285.
On subfields of the modular function fields, Bulletin of Kerala Mathematics Association, 2013, 33 – 40.
Powers of 2 in modular degrees of modular abelian varieties (withN. Dummigan), Journal of Number Theory, no.2. 2013, 501 – 522.
On Davenport’s constant (with P. Rath and R. Thangadurai), International Journal of Number Theory, 2008, no. 1, 107 – 115.
Modular degrees of elliptic curves, Proquest LLC, Ann Arbor, MI, 2011. Thesis (Ph.D.) - Sheffield University, U.K. 97 pp.