Research Interests:
Additive Number Theory
Combinatorial Number Theory
Extremal Combinatorics
Arithmetic Ramsey Theory
Publications:
On the size and structure of a certain subsequence sum set
Under Review, 15 pages.
Freiman’s 3k-4-like results for subset and subsequence sums
(with Mohan and Ram Krishna Pandey), To appear in Rocky Mountain Journal of Mathematics, 25 pages.
An improved threshold for the number of distinct intersections of intersecting families
(with Sayan Goswami), The Ramanujan Journal 67 (2) (2025), Article 32.
Sumsets with a minimum number of distinct terms
Integers, 25 (2025), Article 12.
A note on distinct differences in t-intersecting families
(with Sayan Goswami), Graphs and Combinatorics 40 (4) (2024), Article 69.
On a sumset problem for dilated integer sets
(with Ramandeep Kaur and Sandeep Singh), International Journal of Number Theory 20 (7) (2024), 1849-1862.
The sizes of the restricted sums of multisets
(with Raj Kumar Mistri), Proceedings of the Indian Academy of Sciences (Mathematical Science), 133 (2023), P40.
On the minimum size of subset and subsequence sums in integers
(with Ram Krishna Pandey), Comptes Rendus Mathematique, 360 (2022), 1099-1111.
A note on sumsets and restricted sumsets
Journal of Integer Sequences, 24 (2021), 21.4.2.
Direct and inverse problems for restricted signed sumsets in integers
(with Takao Komatsu and Ram Krishna Pandey), Contribution to Discrete Mathematics, 16 (2021), 28-46.
On the minimum cardinality of generalized sumsets in finite cyclic groups
Integers (The electronic journal of combinatorial number theory), 21 (2021), A8.
Inverse problems for certain subsequence sums in integers
(with Ram Krishna Pandey), Discrete Mathematics, 343 (2020), 112148.
Direct and inverse theorems on signed sumsets of integers
(with Ram Krishna Pandey), Journal of Number Theory, 196 (2019), 340-352.
On some direct and inverse results concerning sums of dilates
(with Shubham Chaudhary and Ram Krishna Pandey), Acta Arithmetica, 188 (2019), 101-109.
Counting the number of elements in h^(r) A: A special case
(with Ram Krishna Pandey), Journal of Combinatorics and Number Theory, 9 (2017), 215-227.