Chen, April; Kaplan, Nathan; Lawson, Liam; O’Neill, Christopher; Singhal, Deepesh Enumerating numerical sets associated to a numerical semigroup. (English) Zbl 07764559 Discrete Appl. Math. 341, 218-231 (2023). Reviewer: Manuel Delgado (Porto) MSC: 20M14 05A15 PDFBibTeX XMLCite \textit{A. Chen} et al., Discrete Appl. Math. 341, 218--231 (2023; Zbl 07764559) Full Text: DOI arXiv
Chinta, Gautam; Kaplan, Nathan; Koplewitz, Shaked The cotype zeta function of \(\mathbb{Z}^d\). (English) Zbl 1520.11064 Indag. Math., New Ser. 34, No. 3, 643-659 (2023). Reviewer: Steven T. Dougherty (Scranton) MSC: 11H06 11M41 20E07 05A15 PDFBibTeX XMLCite \textit{G. Chinta} et al., Indag. Math., New Ser. 34, No. 3, 643--659 (2023; Zbl 1520.11064) Full Text: DOI arXiv
Cheong, Gilyoung; Kaplan, Nathan Generalizations of results of Friedman and Washington on cokernels of random \(p\)-adic matrices. (English) Zbl 1490.15051 J. Algebra 604, 636-663 (2022). MSC: 15B52 15B33 11C20 05A05 11N45 PDFBibTeX XMLCite \textit{G. Cheong} and \textit{N. Kaplan}, J. Algebra 604, 636--663 (2022; Zbl 1490.15051) Full Text: DOI arXiv
Kaplan, Nathan; Singhal, Deepesh The Expected Embedding Dimension, type and weight of a Numerical Semigroup. arXiv:2211.07811 Preprint, arXiv:2211.07811 [math.CO] (2022). MSC: 20M14 05A16 BibTeX Cite \textit{N. Kaplan} and \textit{D. Singhal}, ``The Expected Embedding Dimension, type and weight of a Numerical Semigroup'', Preprint, arXiv:2211.07811 [math.CO] (2022) Full Text: arXiv OA License
Glass, Darren; Kaplan, Nathan Chip-firing games and critical groups. (English) Zbl 1447.05135 Harris, Pamela E. (ed.) et al., A project-based guide to undergraduate research in mathematics. Starting and sustaining accessible undergraduate research. Cham: Birkhäuser. Found. Undergrad. Res. Math., 107-152 (2020). MSC: 05C57 05C40 05C70 91A43 20K01 PDFBibTeX XMLCite \textit{D. Glass} and \textit{N. Kaplan}, in: A project-based guide to undergraduate research in mathematics. Starting and sustaining accessible undergraduate research. Cham: Birkhäuser. 107--152 (2020; Zbl 1447.05135) Full Text: DOI arXiv
Fulman, Jason; Kaplan, Nathan Random partitions and Cohen-Lenstra heuristics. (English) Zbl 1415.15034 Ann. Comb. 23, No. 2, 295-315 (2019). MSC: 15B52 05E05 11B83 11P55 PDFBibTeX XMLCite \textit{J. Fulman} and \textit{N. Kaplan}, Ann. Comb. 23, No. 2, 295--315 (2019; Zbl 1415.15034) Full Text: DOI arXiv Backlinks: MO
Braun, Benjamin; Corrales, Hugo; Corry, Scott; Puente, Luis David García; Glass, Darren; Kaplan, Nathan; L. Martin, Jeremy; Musiker, Gregg; Valencia, Carlos E. Counting arithmetical structures on paths and cycles. (English) Zbl 1393.05152 Discrete Math. 341, No. 10, 2949-2963 (2018). MSC: 05C30 05C38 05C40 PDFBibTeX XMLCite \textit{B. Braun} et al., Discrete Math. 341, No. 10, 2949--2963 (2018; Zbl 1393.05152) Full Text: DOI arXiv
Constantin, Hannah; Houston-Edwards, Ben; Kaplan, Nathan Numerical sets, core partitions, and integer points in polytopes. (English) Zbl 1418.05018 Nathanson, Melvyn B. (ed.), Combinatorial and additive number theory II. CANT, New York, NY, USA, 2015 and 2016. Selected papers. Cham: Springer. Springer Proc. Math. Stat. 220, 99-127 (2017). MSC: 05A17 PDFBibTeX XMLCite \textit{H. Constantin} et al., Springer Proc. Math. Stat. 220, 99--127 (2017; Zbl 1418.05018) Full Text: DOI arXiv
Kaplan, Nathan Where should I open my restaurant? (English) Zbl 1398.97021 Math. Mag. 90, No. 4, 278-285 (2017). MSC: 97K20 97K50 05A15 60C05 PDFBibTeX XMLCite \textit{N. Kaplan}, Math. Mag. 90, No. 4, 278--285 (2017; Zbl 1398.97021) Full Text: DOI
Kaplan, Nathan Counting numerical semigroups. (English) Zbl 1391.20033 Am. Math. Mon. 124, No. 9, 862-875 (2017). MSC: 20M14 20M99 05E15 PDFBibTeX XMLCite \textit{N. Kaplan}, Am. Math. Mon. 124, No. 9, 862--875 (2017; Zbl 1391.20033) Full Text: DOI arXiv
Anderson, Sarah E.; Halbawi, Wael; Kaplan, Nathan; López, Hiram H.; Manganiello, Felice; Soljanin, Emina; Walker, Judy L. Representations of the multicast network problem. (English) Zbl 1391.94866 Howe, Everett W. (ed.) et al., Algebraic geometry for coding theory and cryptography, IPAM, Los Angeles, CA, USA, February 2016. Cham: Springer (ISBN 978-3-319-63930-7/hbk; 978-3-319-63931-4/ebook). Association for Women in Mathematics Series 9, 1-23 (2017). MSC: 94B27 05C90 14G50 90B18 PDFBibTeX XMLCite \textit{S. E. Anderson} et al., Assoc. Women Math. Ser. 9, 1--23 (2017; Zbl 1391.94866) Full Text: DOI arXiv
Short, Daniel; Kaplan, Nathan; Narayan, Darren A. Flanking numbers and arankings of cyclic graphs. (English) Zbl 1360.05149 J. Comb. Math. Comb. Comput. 99, 131-150 (2016). MSC: 05C78 05C40 05C35 PDFBibTeX XMLCite \textit{D. Short} et al., J. Comb. Math. Comb. Comput. 99, 131--150 (2016; Zbl 1360.05149)
Clancy, Julien; Kaplan, Nathan; Leake, Timothy; Payne, Sam; Matchett Wood, Melanie On a Cohen-Lenstra heuristic for Jacobians of random graphs. (English) Zbl 1325.05146 J. Algebr. Comb. 42, No. 3, 701-723 (2015). MSC: 05C80 PDFBibTeX XMLCite \textit{J. Clancy} et al., J. Algebr. Comb. 42, No. 3, 701--723 (2015; Zbl 1325.05146) Full Text: DOI arXiv
Kaplan, Nathan; Ye, Lynnelle The proportion of Weierstrass semigroups. (English) Zbl 1271.14042 J. Algebra 373, 377-391 (2013). Reviewer: José Javier Etayo (Madrid) MSC: 14H55 20M14 05A15 PDFBibTeX XMLCite \textit{N. Kaplan} and \textit{L. Ye}, J. Algebra 373, 377--391 (2013; Zbl 1271.14042) Full Text: DOI arXiv
Kaplan, Nathan Counting numerical semigroups by genus and some cases of a question of Wilf. (English) Zbl 1255.20054 J. Pure Appl. Algebra 216, No. 5, 1016-1032 (2012). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 20M14 05A15 11D07 PDFBibTeX XMLCite \textit{N. Kaplan}, J. Pure Appl. Algebra 216, No. 5, 1016--1032 (2012; Zbl 1255.20054) Full Text: DOI