- 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.