Flat Cyclotomic Polynomials of Order Four and Higher. - Nathan Kaplan (Integers, 2010)

Shifts of generators and delta sets of numerical monoids. - Scott T. Chapman; Nathan Kaplan; Tyler Lemburg; Andrew Niles; Christina Zlogar (Int. J. Algebra Comput., 2014)

MacWilliams Identities for m-tuple Weight Enumerators. - Nathan Kaplan (SIAM J. Discret. Math., 2014)

Traces of Hecke Operators and Refined Weight Enumerators of Reed-Solomon Codes. - Nathan Kaplan; Ian Petrow (CoRR, 2015)

Databases of elliptic curves ordered by height and distributions of Selmer groups and ranks. - Jennifer S. Balakrishnan; Wei Ho; Nathan Kaplan; Simon Spicer; William Stein; James Weigandt (LMS J. Comput. Math., 2016)

Representations of the Multicast Network Problem. - Sarah E. Anderson; Wael Halbawi; Nathan Kaplan; Hiram H. López; Felice Manganiello; Emina Soljanin; Judy L. Walker (CoRR, 2017)

Counting Numerical Semigroups. - Nathan Kaplan (Am. Math. Mon., 2017)

Counting arithmetical structures on paths and cycles. - Benjamin Braun; Hugo Corrales; Scott Corry; Luis David García-Puente; Darren B. Glass; Nathan Kaplan; Jeremy L. Martin; Gregg Musiker; Carlos E. Valencia (Discret. Math., 2018)

Numerical semigroups, polyhedra, and posets I: the group cone. - Nathan Kaplan; Christopher O'Neill (Comb. Theory, 2021)

Enumerating numerical sets associated to a numerical semigroup. - April Chen; Nathan Kaplan; Liam Lawson; Christopher O'Neill; Deepesh Singhal (Discret. Appl. Math., 2023)

Hulls of projective Reed-Muller codes. - Nathan Kaplan; Jon-Lark Kim (Des. Codes Cryptogr., 2025)