Edit Profile (opens in new tab) Stange, Katherine E. Compute Distance To: Compute Author ID: stange.katherine-e Published as: Stange, Katherine E. External Links: MGP Documents Indexed: 26 Publications since 2007 1 Contribution as Editor Co-Authors: 33 Co-Authors with 19 Joint Publications 750 Co-Co-Authors all top 5 Co-Authors 8 single-authored 5 Lauter, Kristin Estella 3 Silverman, Joseph Hillel 2 Elias, Yara 2 Fuchs, Elena D. 2 Gassert, Thomas Alden 2 Levine, Lionel 2 Ozman, Ekin 1 Balakrishnan, Jennifer S. 1 Belding, Juliana V. 1 Chaubey, Sneha 1 Chen, Annie S. 1 Chisholm, Sarah 1 Cojocaru, Alina Carmen 1 Davis, Rachel 1 de Quehen, Victoria E. 1 Eischen, Ellen Elizabeth 1 Eisenträger, Kirsten 1 Hines, Robert 1 Ingram, Patrick 1 Kutas, Péter 1 Leonardi, Chris 1 Long, Ling 1 Mahé, Valéry 1 Martindale, Chloe 1 Panny, Lorenz 1 Petit, Christophe 1 Pries, Rachel J. 1 Sheffield, Scott 1 Shparlinski, Igor E. 1 Silverberg, Alice 1 Smith, Hanson 1 Streng, Marco 1 Teske, Edlyn all top 5 Serials 2 Transactions of the American Mathematical Society 2 IMRN. International Mathematics Research Notices 2 SIAM Journal on Applied Algebra and Geometry 1 American Mathematical Monthly 1 Acta Arithmetica 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Compositio Mathematica 1 Journal of Number Theory 1 Proceedings of the American Mathematical Society 1 Expositiones Mathematicae 1 Notices of the American Mathematical Society 1 Experimental Mathematics 1 The New York Journal of Mathematics 1 Journal of the Australian Mathematical Society 1 Algebra & Number Theory 1 Association for Women in Mathematics Series all top 5 Fields 21 Number theory (11-XX) 10 Information and communication theory, circuits (94-XX) 6 Algebraic geometry (14-XX) 6 Convex and discrete geometry (52-XX) 3 Group theory and generalizations (20-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Computer science (68-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Geometry (51-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 22 Publications have been cited 92 times in 73 Documents Cited by ▼ Year ▼ The Tate pairing via elliptic nets. Zbl 1151.94570Stange, Katherine E. 11 2007 Provably weak instances of Ring-LWE. Zbl 1336.94046Elias, Yara; Lauter, Kristin E.; Ozman, Ekin; Stange, Katherine E. 11 2015 Amicable pairs and aliquot cycles for elliptic curves. Zbl 1269.11056Silverman, Joseph H.; Stange, Katherine E. 7 2011 Elliptic nets and elliptic curves. Zbl 1277.11063Stange, Katherine E. 7 2011 Terms in elliptic divisibility sequences divisible by their indices. Zbl 1225.11079Silverman, Joseph H.; Stange, Katherine E. 7 2011 The Apollonian structure of Bianchi groups. Zbl 1393.52013Stange, Katherine E. 6 2018 Algebraic divisibility sequences over function fields. Zbl 1251.11008Ingram, Patrick; Mahé, Valéry; Silverman, Joseph H.; Stange, Katherine E.; Streng, Marco 5 2012 How to make the most of a shared meal: plan the last bite first. Zbl 1258.91020Levine, Lionel; Stange, Katherine E. 4 2012 The elliptic curve discrete logarithm problem and equivalent hard problems for elliptic divisibility sequences. Zbl 1256.94055Lauter, Kristin E.; Stange, Katherine E. 4 2009 Attacks on the search RLWE problem with small errors. Zbl 1417.94052Chen, Hao; Lauter, Kristin; Stange, Katherine E. 4 2017 Integral points on elliptic curves and explicit valuations of division polynomials. Zbl 1406.11055Stange, Katherine E. 3 2016 Index divisibility in dynamical sequences and cyclic orbits modulo \(p\). Zbl 1395.37064Chen, Annie S.; Gassert, T. Alden; Stange, Katherine E. 3 2017 Local-global principles in circle packings. Zbl 1418.52008Fuchs, Elena; Stange, Katherine E.; Zhang, Xin 3 2019 A family of monogenic \(S_4\) quartic fields arising from elliptic curves. Zbl 1410.11050Gassert, T. Alden; Smith, Hanson; Stange, Katherine E. 3 2019 Arithmetic properties of the Frobenius traces defined by a rational abelian variety (with two appendices by J-P. Serre). Zbl 1405.11078Cojocaru, Alina Carmen; Davis, Rachel; Silverberg, Alice; Stange, Katherine E. 3 2017 Visualizing the arithmetic of imaginary quadratic fields. Zbl 1442.52019Stange, Katherine E. 3 2018 Pairings on hyperelliptic curves. Zbl 1214.14021Balakrishnan, Jennifer; Belding, Juliana; Chisholm, Sarah; Eisenträger, Kirsten; Stange, Katherine E.; Teske, Edlyn 2 2011 The sensual Apollonian circle packing. Zbl 1354.52025Stange, Katherine E. 2 2016 A duality principle for selection games. Zbl 1401.91021Levine, Lionel; Sheffield, Scott; Stange, Katherine E. 1 2013 Security considerations for Galois non-dual RLWE families. Zbl 1418.94037Chen, Hao; Lauter, Kristin; Stange, Katherine E. 1 2017 Ring-LWE cryptography for the number theorist. Zbl 1371.11154Elias, Yara; Lauter, Kristin E.; Ozman, Ekin; Stange, Katherine E. 1 2016 The dynamics of super-Apollonian continued fractions. Zbl 1436.11011Chaubey, Sneha; Fuchs, Elena; Hines, Robert; Stange, Katherine E. 1 2019 Local-global principles in circle packings. Zbl 1418.52008Fuchs, Elena; Stange, Katherine E.; Zhang, Xin 3 2019 A family of monogenic \(S_4\) quartic fields arising from elliptic curves. Zbl 1410.11050Gassert, T. Alden; Smith, Hanson; Stange, Katherine E. 3 2019 The dynamics of super-Apollonian continued fractions. Zbl 1436.11011Chaubey, Sneha; Fuchs, Elena; Hines, Robert; Stange, Katherine E. 1 2019 The Apollonian structure of Bianchi groups. Zbl 1393.52013Stange, Katherine E. 6 2018 Visualizing the arithmetic of imaginary quadratic fields. Zbl 1442.52019Stange, Katherine E. 3 2018 Attacks on the search RLWE problem with small errors. Zbl 1417.94052Chen, Hao; Lauter, Kristin; Stange, Katherine E. 4 2017 Index divisibility in dynamical sequences and cyclic orbits modulo \(p\). Zbl 1395.37064Chen, Annie S.; Gassert, T. Alden; Stange, Katherine E. 3 2017 Arithmetic properties of the Frobenius traces defined by a rational abelian variety (with two appendices by J-P. Serre). Zbl 1405.11078Cojocaru, Alina Carmen; Davis, Rachel; Silverberg, Alice; Stange, Katherine E. 3 2017 Security considerations for Galois non-dual RLWE families. Zbl 1418.94037Chen, Hao; Lauter, Kristin; Stange, Katherine E. 1 2017 Integral points on elliptic curves and explicit valuations of division polynomials. Zbl 1406.11055Stange, Katherine E. 3 2016 The sensual Apollonian circle packing. Zbl 1354.52025Stange, Katherine E. 2 2016 Ring-LWE cryptography for the number theorist. Zbl 1371.11154Elias, Yara; Lauter, Kristin E.; Ozman, Ekin; Stange, Katherine E. 1 2016 Provably weak instances of Ring-LWE. Zbl 1336.94046Elias, Yara; Lauter, Kristin E.; Ozman, Ekin; Stange, Katherine E. 11 2015 A duality principle for selection games. Zbl 1401.91021Levine, Lionel; Sheffield, Scott; Stange, Katherine E. 1 2013 Algebraic divisibility sequences over function fields. Zbl 1251.11008Ingram, Patrick; Mahé, Valéry; Silverman, Joseph H.; Stange, Katherine E.; Streng, Marco 5 2012 How to make the most of a shared meal: plan the last bite first. Zbl 1258.91020Levine, Lionel; Stange, Katherine E. 4 2012 Amicable pairs and aliquot cycles for elliptic curves. Zbl 1269.11056Silverman, Joseph H.; Stange, Katherine E. 7 2011 Elliptic nets and elliptic curves. Zbl 1277.11063Stange, Katherine E. 7 2011 Terms in elliptic divisibility sequences divisible by their indices. Zbl 1225.11079Silverman, Joseph H.; Stange, Katherine E. 7 2011 Pairings on hyperelliptic curves. Zbl 1214.14021Balakrishnan, Jennifer; Belding, Juliana; Chisholm, Sarah; Eisenträger, Kirsten; Stange, Katherine E.; Teske, Edlyn 2 2011 The elliptic curve discrete logarithm problem and equivalent hard problems for elliptic divisibility sequences. Zbl 1256.94055Lauter, Kristin E.; Stange, Katherine E. 4 2009 The Tate pairing via elliptic nets. Zbl 1151.94570Stange, Katherine E. 11 2007 all cited Publications top 5 cited Publications all top 5 Cited by 110 Authors 13 Stange, Katherine E. 4 Lauter, Kristin Estella 4 Uchiyama, Shigenori 3 Kanayama, Naoki 3 Levine, Lionel 3 Parks, James M. 3 Silverman, Joseph Hillel 3 Smith, Hanson 2 Akbary, Amir 2 Chiesa, Alessandro 2 Fuchs, Elena D. 2 Gassert, Thomas Alden 2 Kim, Seoyoung 2 Mahé, Valéry 2 Müller, Jan Steffen 2 Okamoto, Eiji 2 Sanna, Carlo 2 Sheydvasser, Arseniy 2 Streng, Marco 2 Teruya, Tadanori 1 Akiyama, Shigeki 1 Alaya, Bechir 1 Albrecht, Martin R. 1 Allouche, Jean-Paul Simon 1 Aygin, Zafer Selçuk 1 Bai, Shi 1 Balakrishnan, Jennifer S. 1 Barańczuk, Stefan 1 Ben-Sasson, Eli 1 Besser, Amnon 1 Billera, Louis J. 1 Bleaney, Jeff 1 Brown, Jim L. 1 Case, Benjamin M. 1 Cha, Byungchul 1 Chaubey, Sneha 1 Chen, Hao 1 Chen, Yao 1 Cheng, Qi 1 Chua, Lynn 1 Coopman, Michael 1 David, Chantal 1 De Saxcé, Nicolas 1 Ducas, Léo 1 Galbraith, Steven D. 1 Gao, Shuhong 1 Gezer, Betúl 1 Gong, Guang 1 Gorodetsky, Ofir 1 Gu, Chunsheng 1 Guo, Baoan 1 Guyot, Luc 1 Hajdu, Lajos 1 Hamaker, Zachary 1 He, Weikun 1 Heras, David 1 Herold, Gottfried 1 Hines, Robert 1 Ingram, Patrick 1 James, Kevin 1 Keaton, Rodney 1 Koukoulopoulos, Dimitris 1 Kühn, Ulf 1 Laishram, Shanta 1 Laouamer, Lamri 1 Lin, Xibin 1 May, Alexander 1 Mészáros, Karola 1 Msilini, Nihel 1 Naskrȩcki, Bartosz 1 Ni, Dongmei 1 Novoselov, S. A. 1 Ogura, Naoki 1 Onuki, Hiroshi 1 Pegden, Wesley 1 Peikert, Chris 1 Pham, Lam L. 1 Qi, Yanfeng 1 Qian, Andrew 1 Reynolds, Jonathan 1 Rodgers, Brad 1 Roşca, Miruna 1 Saito, Kazutaka 1 Sakzad, Amin 1 Shang, Ning 1 Sheffield, Scott 1 Slob, Robert 1 Smart, Charles K. 1 Smith, Ethan 1 Stehlé, Damien 1 Steinfeld, Ron 1 Sutherland, Andrew V. 1 Szikszai, Márton 1 Tang, Chunming 1 Tromer, Eran 1 Uchida, Yukihiro 1 Ulmer, Douglas L. 1 Urbanski, Michael T. 1 Urzúa, Giancarlo 1 Virza, Madars ...and 10 more Authors all top 5 Cited in 38 Serials 10 Journal of Number Theory 4 Designs, Codes and Cryptography 3 Transactions of the American Mathematical Society 3 JSIAM Letters 3 SIAM Journal on Applied Algebra and Geometry 2 Mathematics of Computation 2 Acta Arithmetica 2 Functiones et Approximatio. Commentarii Mathematici 2 Journal of Algebra 2 Proceedings of the American Mathematical Society 2 The New York Journal of Mathematics 2 Integers 2 International Journal of Number Theory 1 Bulletin of the Australian Mathematical Society 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Journal of Pure and Applied Algebra 1 Mathematische Annalen 1 European Journal of Combinatorics 1 Bulletin of the Korean Mathematical Society 1 Algorithmica 1 Expositiones Mathematicae 1 Experimental Mathematics 1 Journal de Théorie des Nombres de Bordeaux 1 The Electronic Journal of Combinatorics 1 Selecta Mathematica. New Series 1 The Ramanujan Journal 1 Journal of Group Theory 1 Annals of Mathematics. Second Series 1 Journal of the Australian Mathematical Society 1 Hacettepe Journal of Mathematics and Statistics 1 Algebra & Number Theory 1 Cryptography and Communications 1 Science China. Information Sciences 1 Computer Science Review 1 Prikladnaya Diskretnaya Matematika all top 5 Cited in 20 Fields 52 Number theory (11-XX) 20 Information and communication theory, circuits (94-XX) 15 Algebraic geometry (14-XX) 7 Convex and discrete geometry (52-XX) 6 Group theory and generalizations (20-XX) 5 Computer science (68-XX) 3 Combinatorics (05-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Commutative algebra (13-XX) 2 Geometry (51-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 \(K\)-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Partial differential equations (35-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year