- R. Nath with O. Brunat. "Core and quotients through Frobenius symbols." . : .
- R. Nath with O. Brunat. "A crank-based approach to theory of 3-core partitions." Proceedings of the American Mathematical Society. just accepted: .
- R. Nath with O. Brunat. "The Navarro Conjecture for the Alternating Groups." Algebra & Number Theory. forthcoming 2021: .
- R. Nath with J.B. Gramain and J.A. Sellers. "Simultaneous core partitions with nontrivial common divisor." The Ramanujan Journal. forthcoming 2020: .
- R. Nath. "Advances in the theory of cores and simultaneous core partitions.." Amer. Math. Monthly. 124 2017: 844-861.
- R. Nath. "Abaci structures of (s,ms±1)-core partitions." Electron. J. Combin.. 24 2017: 1-20.
- R. Nath with J.A. Sellers. "Congruences for the number of spin characters of the double covers of the symmetric and alternating groups." Adv. in Appl. Math.. 80 2016: 114-130.
- R. Nath. "A combinatorial proof of a relationship between maximal (2k−1,2k+1)-cores and (2k−1,2k,2k+1)-cores.." Electron. J. Combin.. 23 2016: 1-13.
- R. Nath. "Symmetry in maximal (s−1,s+1) cores." Integers Integers: Electronic Journal of Combinatorial Number Theory. A18 2016: 1-23.
- R. Nath with C. Hanusa. "The number of self-conjugate partitions." Journal of Number Theory. 133, no. 2 2013: 751-768.
- R. Nath with J.B. Gramain. "On core and bar-core partitions." The Ramanujan Journal. 27, no. 2 2012: 229-233.
- R. Nath with W. Keith. "Partitions with prescribed hooksets." Journal of Combinatorics and Number Theory. 3, no. 1 2011: 39-50.
- R. Nath. "On the Navarro conjecture for the A(n), p=2." Journal of Algebra and its Applications. 8, Issue 6 December 2009: 837-844.
- R. Nath. "The Isaacs-Navarro conjecture for the alternating groups." Journal of Algebra. 321, Issue 6 March 15, 2009: 1632-1642.
- R. Nath. "On the s-core of a t-core partition." Integers: Electronic Journal of Combinatorial Number Theory. A28 June 16, 2008: 1-5.