Edit Profile Kaplan, Nathan Compute Distance To: Compute Author ID: kaplan.nathan Published as: Kaplan, Nathan Homepage: https://www.math.uci.edu/~nckaplan/ External Links: MGP · Wikidata Documents Indexed: 29 Publications since 2006 Reviewing Activity: 49 Reviews all top 5 Co-Authors 8 single-authored 5 Chapman, Scott Thomas 2 Glass, Darren B. 2 Hoyer, Rolf 2 Petrow, Ian N. 2 Wood, Melanie Matchett 1 Anderson, David Fenimore 1 Anderson, Sarah E. 1 Balakrishnan, Jennifer S. 1 Bowles, Craig 1 Braun, Benjamin 1 Bucur, Alina 1 Clancy, Julien 1 Colton, Stefan 1 Constantin, Hannah 1 Corrales, Hugo 1 Corry, Scott 1 Daigle, Jay 1 David, Chantal 1 Erickson, Carl 1 Feigon, Brooke 1 Fulman, Jason E. 1 García Puente, Luis David 1 Halbawi, Wael 1 Ho, Wei 1 Houston-Edwards, Ben 1 Kimport, Susie 1 Lalín, Matilde N. 1 Lawrence, Rachel 1 Leake, Timothy 1 Lemburg, Tyler 1 López, Hiram H. 1 Manganiello, Felice 1 Marcinek, Jake 1 Martin, Jeremy L. 1 Mendoza, Neil 1 Musiker, Gregg 1 Narayan, Darren A. 1 Niles, Andrew 1 Ozman, Ekin 1 Pacelli, Allison M. 1 Payne, Sam 1 Peilen, Luke 1 Reiser, Daniel 1 Shayler, Todd 1 Short, Daniel 1 Soljanin, Emina 1 Spicer, Simon 1 Stein, William A. 1 Takloo-Bighash, Ramin 1 Torkornoo, Desmond 1 Valencia, Carlos E. 1 Walker, Judy L. 1 Weigandt, James 1 Weinreich, Max 1 Ye, Lynnelle 1 Zlogar, Christina all top 5 Serials 2 Journal of Number Theory 1 American Mathematical Monthly 1 Communications in Algebra 1 Discrete Mathematics 1 Mathematics Magazine 1 Acta Arithmetica 1 Journal of Algebra 1 Journal of Geometry 1 Journal of Pure and Applied Algebra 1 Proceedings of the London Mathematical Society. Third Series 1 Semigroup Forum 1 Transactions of the American Mathematical Society 1 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 1 SIAM Journal on Discrete Mathematics 1 International Journal of Algebra and Computation 1 IMRN. International Mathematics Research Notices 1 Aequationes Mathematicae 1 Journal of Algebraic Combinatorics 1 Annals of Combinatorics 1 LMS Journal of Computation and Mathematics 1 Integers 1 Journal of Algebra and its Applications 1 Journal of Commutative Algebra 1 Research in the Mathematical Sciences all top 5 Fields 17 Number theory (11-XX) 11 Combinatorics (05-XX) 10 Group theory and generalizations (20-XX) 4 Algebraic geometry (14-XX) 4 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 22 Publications have been cited 218 times in 147 Documents Cited by ▼ Year ▼ On Delta sets of numerical monoids. Zbl 1115.20052Bowles, Craig; Chapman, Scott T.; Kaplan, Nathan; Reiser, Daniel 42 2006 Counting numerical semigroups by genus and some cases of a question of Wilf. Zbl 1255.20054Kaplan, Nathan 24 2012 Delta sets of numerical monoids are eventually periodic. Zbl 1204.20078Chapman, Scott T.; Hoyer, Rolf; Kaplan, Nathan 22 2009 The realization problem for delta sets of numerical semigroups. Zbl 1431.20039Colton, Stefan; Kaplan, Nathan 16 2017 On a Cohen-Lenstra heuristic for Jacobians of random graphs. Zbl 1325.05146Clancy, Julien; Kaplan, Nathan; Leake, Timothy; Payne, Sam; Matchett Wood, Melanie 16 2015 Flat cyclotomic polynomials of order three. Zbl 1171.11015Kaplan, Nathan 16 2007 An algorithm to compute \(\omega\)-primality in a numerical monoid. Zbl 1218.20038Anderson, David F.; Chapman, Scott T.; Kaplan, Nathan; Torkornoo, Desmond 13 2011 Delta sets of numerical monoids using nonminimal sets of generators. Zbl 1209.20058Chapman, S. T.; Daigle, Jay; Hoyer, Rolf; Kaplan, Nathan 12 2010 Shifts of generators and delta sets of numerical monoids. Zbl 1315.20054Chapman, S. T.; Kaplan, Nathan; Lemburg, Tyler; Niles, Andrew; Zlogar, Christina 11 2014 Counting numerical semigroups. Zbl 1391.20033Kaplan, Nathan 8 2017 Elliptic curves over a finite field and the trace formula. Zbl 1436.11068Kaplan, Nathan; Petrow, Ian 6 2017 The distribution of \(\mathbb F_q\)-points on cyclic \(\ell\)-covers of genus \(g\). Zbl 1404.11088Bucur, Alina; David, Chantal; Feigon, Brooke; Kaplan, Nathan; Lalín, Matilde; Ozman, Ekin; Wood, Melanie Matchett 6 2016 The proportion of Weierstrass semigroups. Zbl 1271.14042Kaplan, Nathan; Ye, Lynnelle 6 2013 Bounds for the maximal height of divisors of \(x^n - 1\). Zbl 1250.11028Kaplan, Nathan 4 2009 Counting arithmetical structures on paths and cycles. Zbl 1393.05152Braun, Benjamin; Corrales, Hugo; Corry, Scott; Puente, Luis David García; Glass, Darren; Kaplan, Nathan; L. Martin, Jeremy; Musiker, Gregg; Valencia, Carlos E. 3 2018 Numerical sets, core partitions, and integer points in polytopes. Zbl 1418.05018Constantin, Hannah; Houston-Edwards, Ben; Kaplan, Nathan 3 2017 Flat cyclotomic polynomials of order four and higher. Zbl 1200.11020Kaplan, Nathan 3 2010 Distribution of orders in number fields. Zbl 1381.11107Kaplan, Nathan; Marcinek, Jake; Takloo-Bighash, Ramin 2 2015 Parameterized families of quadratic number fields with 3-rank at least 2. Zbl 1147.11063Erickson, Carl; Kaplan, Nathan; Mendoza, Neil; Pacelli, Allison M.; Shayler, Todd 2 2007 Traces of Hecke operators and refined weight enumerators of Reed-Solomon codes. Zbl 1441.94111Kaplan, Nathan; Petrow, Ian 1 2018 Counting arcs in projective planes via Glynn’s algorithm. Zbl 1398.51004Kaplan, Nathan; Kimport, Susie; Lawrence, Rachel; Peilen, Luke; Weinreich, Max 1 2017 Databases of elliptic curves ordered by height and distributions of Selmer groups and ranks. Zbl 1391.11077Balakrishnan, Jennifer S.; Ho, Wei; Kaplan, Nathan; Spicer, Simon; Stein, William; Weigandt, James 1 2016 Counting arithmetical structures on paths and cycles. Zbl 1393.05152Braun, Benjamin; Corrales, Hugo; Corry, Scott; Puente, Luis David García; Glass, Darren; Kaplan, Nathan; L. Martin, Jeremy; Musiker, Gregg; Valencia, Carlos E. 3 2018 Traces of Hecke operators and refined weight enumerators of Reed-Solomon codes. Zbl 1441.94111Kaplan, Nathan; Petrow, Ian 1 2018 The realization problem for delta sets of numerical semigroups. Zbl 1431.20039Colton, Stefan; Kaplan, Nathan 16 2017 Counting numerical semigroups. Zbl 1391.20033Kaplan, Nathan 8 2017 Elliptic curves over a finite field and the trace formula. Zbl 1436.11068Kaplan, Nathan; Petrow, Ian 6 2017 Numerical sets, core partitions, and integer points in polytopes. Zbl 1418.05018Constantin, Hannah; Houston-Edwards, Ben; Kaplan, Nathan 3 2017 Counting arcs in projective planes via Glynn’s algorithm. Zbl 1398.51004Kaplan, Nathan; Kimport, Susie; Lawrence, Rachel; Peilen, Luke; Weinreich, Max 1 2017 The distribution of \(\mathbb F_q\)-points on cyclic \(\ell\)-covers of genus \(g\). Zbl 1404.11088Bucur, Alina; David, Chantal; Feigon, Brooke; Kaplan, Nathan; Lalín, Matilde; Ozman, Ekin; Wood, Melanie Matchett 6 2016 Databases of elliptic curves ordered by height and distributions of Selmer groups and ranks. Zbl 1391.11077Balakrishnan, Jennifer S.; Ho, Wei; Kaplan, Nathan; Spicer, Simon; Stein, William; Weigandt, James 1 2016 On a Cohen-Lenstra heuristic for Jacobians of random graphs. Zbl 1325.05146Clancy, Julien; Kaplan, Nathan; Leake, Timothy; Payne, Sam; Matchett Wood, Melanie 16 2015 Distribution of orders in number fields. Zbl 1381.11107Kaplan, Nathan; Marcinek, Jake; Takloo-Bighash, Ramin 2 2015 Shifts of generators and delta sets of numerical monoids. Zbl 1315.20054Chapman, S. T.; Kaplan, Nathan; Lemburg, Tyler; Niles, Andrew; Zlogar, Christina 11 2014 The proportion of Weierstrass semigroups. Zbl 1271.14042Kaplan, Nathan; Ye, Lynnelle 6 2013 Counting numerical semigroups by genus and some cases of a question of Wilf. Zbl 1255.20054Kaplan, Nathan 24 2012 An algorithm to compute \(\omega\)-primality in a numerical monoid. Zbl 1218.20038Anderson, David F.; Chapman, Scott T.; Kaplan, Nathan; Torkornoo, Desmond 13 2011 Delta sets of numerical monoids using nonminimal sets of generators. Zbl 1209.20058Chapman, S. T.; Daigle, Jay; Hoyer, Rolf; Kaplan, Nathan 12 2010 Flat cyclotomic polynomials of order four and higher. Zbl 1200.11020Kaplan, Nathan 3 2010 Delta sets of numerical monoids are eventually periodic. Zbl 1204.20078Chapman, Scott T.; Hoyer, Rolf; Kaplan, Nathan 22 2009 Bounds for the maximal height of divisors of \(x^n - 1\). Zbl 1250.11028Kaplan, Nathan 4 2009 Flat cyclotomic polynomials of order three. Zbl 1171.11015Kaplan, Nathan 16 2007 Parameterized families of quadratic number fields with 3-rank at least 2. Zbl 1147.11063Erickson, Carl; Kaplan, Nathan; Mendoza, Neil; Pacelli, Allison M.; Shayler, Todd 2 2007 On Delta sets of numerical monoids. Zbl 1115.20052Bowles, Craig; Chapman, Scott T.; Kaplan, Nathan; Reiser, Daniel 42 2006 all cited Publications top 5 cited Publications all top 5 Cited by 209 Authors 17 Geroldinger, Alfred 17 O’Neill, Christopher 15 Chapman, Scott Thomas 11 Kaplan, Nathan 9 García Sánchez, Pedro A. 7 Pelayo, Roberto Carlos 7 Schmid, Wolfgang Alexander 6 Gotti, Felix 6 Moree, Pieter 5 Llena, David 5 Ponomarenko, Vadim 5 Wood, Melanie Matchett 5 Zhong, Qinghai 4 Bras-Amorós, Maria 4 Eliahou, Shalom 4 García García, Juan Ignacio 3 Bryant, Lance 3 Fromentin, Jean 3 Hamblin, James 3 Meisner, Patrick 3 Moreno-Frías, Maria Angeles 3 Moscariello, Alessio 3 Schaeffer, George J. 3 Valencia, Carlos E. 3 Vigneron-Tenorio, Alberto 2 Alfaro Montúfar, Carlos Alejandro 2 Anderson, David Fenimore 2 Baginski, Paul 2 Barron, Thomas 2 Blanco, Víctor 2 Failla, Gioia 2 Fan, Yushuang 2 Fernández-González, Julio 2 Fulman, Jason E. 2 Gallot, Yves 2 Garcia, Stephan Ramon 2 Glass, Darren B. 2 Grynkiewicz, David J. 2 Kainrath, Florian 2 Karakas, Halil Ibrahim 2 Luca, Florian 2 Marin-Aragon, Daniel 2 Peterson, Chris 2 Sammartano, Alessio 2 Tringali, Salvatore 2 Tripp, Zack 2 Tutaş, Nesrin 2 Utano, Rosanna 1 Akhtari, Shabnam 1 Alhajjar, Elie 1 Archer, Kassie 1 Arnold, Andrew 1 Autry, Jackson 1 Bae, Sunghan 1 Bary-Soroker, Lior 1 Bell, Renee 1 Bernardini, Matheus 1 Bishop, Abigail C. 1 Blakestad, Clifford 1 Boston, Nigel 1 Brandfonbrener, David 1 Brantner, Johannes 1 Brookfield, Gary 1 Bucur, Alina 1 Bzdęga, Bartłomiej 1 Carriegos, Miguel V. 1 Chen, Haiyan 1 Cheong, Gilyoung 1 Ciolan, Alexandru 1 Cisto, Carmelo 1 Clancy, Julien 1 Cobeli, Cristian 1 Cojocaru, Alina Carmen 1 Conaway, Rebecca 1 Corrales, Hugo 1 Corrales, Marly 1 Costa, Edgar 1 Cotterill, Ethan 1 Cowan, Alexander 1 Daigle, Jay 1 D’Anna, Marco 1 David, Chantal 1 DeCastro-García, Noemí 1 Delgado, Manuel 1 Devlin, Pat 1 Dhayni, Mariam 1 Diaz-Lopez, Alexander 1 Dipasquale, Michael R. 1 Duda, Dominik 1 Feital, Lia 1 Flores, Zachary 1 Friedenberg, Netanel 1 Gallagher, Katherine 1 García Puente, Luis David 1 Garcia, Rebecca E. 1 Garton, Derek 1 Gaudet, Louis 1 Glenn, Jeske 1 Gomes, Tara 1 Gotti, Marly ...and 109 more Authors all top 5 Cited in 60 Serials 18 Semigroup Forum 10 Journal of Number Theory 8 Journal of Pure and Applied Algebra 7 International Journal of Number Theory 5 International Journal of Algebra and Computation 5 Journal of Algebra and its Applications 4 Communications in Algebra 4 Mathematics of Computation 4 Journal of Algebra 4 Forum Mathematicum 3 American Mathematical Monthly 3 Discrete Mathematics 3 Annals of Combinatorics 3 Journal of Commutative Algebra 2 Discrete Applied Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Mathematics Magazine 2 Journal de Théorie des Nombres de Bordeaux 2 The Electronic Journal of Combinatorics 2 Algebra & Number Theory 2 Research in Number Theory 1 Bulletin of the Australian Mathematical Society 1 Israel Journal of Mathematics 1 Acta Arithmetica 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Combinatorial Theory. Series A 1 Journal of Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Kodai Mathematical Journal 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Mathematika 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Journal of Symbolic Computation 1 Journal of the American Mathematical Society 1 SIAM Journal on Discrete Mathematics 1 Aequationes Mathematicae 1 European Journal of Operational Research 1 Indagationes Mathematicae. New Series 1 The Australasian Journal of Combinatorics 1 Journal of Algebraic Combinatorics 1 Finite Fields and their Applications 1 Integers 1 Journal of the Australian Mathematical Society 1 Mediterranean Journal of Mathematics 1 Science China. Mathematics 1 Arabian Journal of Mathematics 1 Palestine Journal of Mathematics 1 Special Matrices 1 Research in the Mathematical Sciences 1 Open Mathematics 1 SIAM Journal on Applied Algebra and Geometry all top 5 Cited in 20 Fields 89 Group theory and generalizations (20-XX) 77 Number theory (11-XX) 33 Combinatorics (05-XX) 30 Commutative algebra (13-XX) 10 Algebraic geometry (14-XX) 6 Computer science (68-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Associative rings and algebras (16-XX) 4 Probability theory and stochastic processes (60-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Convex and discrete geometry (52-XX) 1 General and overarching topics; collections (00-XX) 1 Partial differential equations (35-XX) 1 Geometry (51-XX) 1 Fluid mechanics (76-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.