Research
Photo Courtesy: 'Math Is Still Catching Up to the Mysterious Genius of Srinivasa Ramanujan', Jordana Cepelewicz, Quanta Magazine.
Photo Courtesy: 'Math Is Still Catching Up to the Mysterious Genius of Srinivasa Ramanujan', Jordana Cepelewicz, Quanta Magazine.
Research Interests
Theory of Partitions and the mathematics influenced by Ramanujan, q-Series, Modular Equations, Continued Fractions, Modular Forms, Hypergeometric Series
Publications
Arithmetic properties for certain restricted l-regular partitions. Rocky Mountain Journal of Mathematics, accepted, 2026.
Arithmetic and asymptotic properties of some functions related to the least r-gaps of partitions. (with Nayandeep Deka Baruah) Annals of Combinatorics, 2025. https://doi.org/10.1007/s00026-025-00772-z
New infinite families of congruences for 6-regular partitions. (with Nayandeep Deka Baruah) Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 119:#84, 2025. https://doi.org/10.1007/s13398-025-01748-7
Density results and congruences for an analogue of t-core partitions. The Ramanujan Journal, 66:#38, 2025. https://doi.org/10.1007/s11139-024-01014-1
Identities for the Rogers-Ramanujan continued fraction. (with Nayandeep Deka Baruah) Journal of the Korean Mathematical Society, 62:97-126, 2025. https://doi.org/10.4134/JKMS.j230599
Arithmetic properties of an analogue of t-core partitions. Bulletin of the Australian Mathematical Society, 111:68-79, 2025. https://doi.org/10.1017/S000497272400042X
Ramanujan-type congruences for partition k-tuples with 5-cores. (with Manjil P. Saikia and Abhishek Sarma) Indian Journal of Pure and Applied Mathematics, 2024. https://doi.org/10.1007/s13226-024-00566-8
Congruences for k-elongated plane partition diamonds. (with Nayandeep Deka Baruah and Hirakjyoti Das) International Journal of Number Theory, 19:2121-2139, 2023. https://doi.org/10.1142/S1793042123501038