Edit Profile (opens in new tab) Stange, Katherine E. Co-Author Distance Author ID: stange.katherine-e Published as: Stange, Katherine E. External Links: MGP Documents Indexed: 35 Publications since 2007, including 6 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 59 Co-Authors with 26 Joint Publications 1,552 Co-Co-Authors all top 5 Co-Authors 10 single-authored 7 Lauter, Kristin Estella 3 Silverman, Joseph Hillel 2 Arpin, Sarah 2 Chen, Hao 2 Chen, Mingjie 2 Elias, Yara 2 Fuchs, Elena D. 2 Gassert, Thomas Alden 2 Levine, Lionel 2 Ozman, Ekin 2 Petit, Christophe 2 Rickards, James 2 Scheidler, Renate 2 Smith, Hanson 2 Tran, Ha Thanh Nguyen 1 Balakrishnan, Jennifer S. 1 Belding, Juliana V. 1 Booher, Jeremy 1 Bowden, Ross S. 1 Chaubey, Sneha 1 Chen, Annie S. 1 Chisholm, Sarah 1 Cojocaru, Alina Carmen 1 Davis, Rachel 1 de Quehen, Victoria E. 1 Doliskani, Javad 1 Eischen, Ellen Elizabeth 1 Eisenträger, Kirsten 1 Fouotsa, Tako Boris 1 Galbraith, Steven D. 1 Haag, Summer 1 Harriss, Edmund Orme 1 Hines, Robert 1 Ibarra, Ryan 1 Ingram, Patrick 1 Kertzer, Clyde 1 Kunzweiler, Sabrina 1 Kutas, Péter 1 Lembeck, Henry 1 Leonardi, Chris 1 Long, Ling 1 Mahé, Valéry 1 Martindale, Chloe 1 Merz, Simon-Philipp 1 Ozaslan, Mohammad 1 Panny, Lorenz 1 Pries, Rachel J. 1 Sheffield, Scott 1 Shparlinski, Igor E. 1 Silverberg, Alice 1 Streng, Marco 1 Teske, Edlyn 1 Ti, Yan Bo 1 Trettel, Steve J. 1 Vincent, Christelle 1 Voloch, José Felipe 1 Weitkämper, Charlotte 1 Zhang, Xin 1 Zobernig, Lukas all top 5 Serials 2 Transactions of the American Mathematical Society 2 IMRN. International Mathematics Research Notices 2 Experimental Mathematics 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 The New York Journal of Mathematics 1 Journal of the Australian Mathematical Society 1 Algebra & Number Theory 1 Involve 1 Association for Women in Mathematics Series 1 La Matematica all top 5 Fields 30 Number theory (11-XX) 13 Information and communication theory, circuits (94-XX) 10 Algebraic geometry (14-XX) 7 Convex and discrete geometry (52-XX) 4 Group theory and generalizations (20-XX) 3 Computer science (68-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Quantum theory (81-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 Differential geometry (53-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 161 times in 130 Documents Cited by ▼ Year ▼ Provably weak instances of Ring-LWE. Zbl 1336.94046 Elias, Yara; Lauter, Kristin E.; Ozman, Ekin; Stange, Katherine E. 16 2015 The Tate pairing via elliptic nets. Zbl 1151.94570 Stange, Katherine E. 13 2007 Improved torsion-point attacks on SIDH variants. Zbl 1489.94094 de Quehen, Victoria; Kutas, Péter; Leonardi, Chris; Martindale, Chloe; Panny, Lorenz; Petit, Christophe; Stange, Katherine E. 13 2021 Elliptic nets and elliptic curves. Zbl 1277.11063 Stange, Katherine E. 11 2011 Terms in elliptic divisibility sequences divisible by their indices. Zbl 1225.11079 Silverman, Joseph H.; Stange, Katherine E. 11 2011 Amicable pairs and aliquot cycles for elliptic curves. Zbl 1269.11056 Silverman, Joseph H.; Stange, Katherine E. 11 2011 Integral points on elliptic curves and explicit valuations of division polynomials. Zbl 1406.11055 Stange, Katherine E. 8 2016 The Apollonian structure of Bianchi groups. Zbl 1393.52013 Stange, Katherine E. 8 2018 Attacks on the search RLWE problem with small errors. Zbl 1417.94052 Chen, Hao; Lauter, Kristin; Stange, Katherine E. 7 2017 Algebraic divisibility sequences over function fields. Zbl 1251.11008 Ingram, Patrick; Mahé, Valéry; Silverman, Joseph H.; Stange, Katherine E.; Streng, Marco 6 2012 Index divisibility in dynamical sequences and cyclic orbits modulo \(p\). Zbl 1395.37064 Chen, Annie S.; Gassert, T. Alden; Stange, Katherine E. 6 2017 Monogenic fields arising from trinomials. Zbl 1515.11105 Ibarra, Ryan; Lembeck, Henry; Ozaslan, Mohammad; Smith, Hanson; Stange, Katherine E. 6 2022 Arithmetic properties of the Frobenius traces defined by a rational abelian variety (with two appendices by J-P. Serre). Zbl 1405.11078 Cojocaru, Alina Carmen; Davis, Rachel; Silverberg, Alice; Stange, Katherine E. 6 2017 Visualizing the arithmetic of imaginary quadratic fields. Zbl 1442.52019 Stange, Katherine E. 6 2018 Local-global principles in circle packings. Zbl 1418.52008 Fuchs, Elena; Stange, Katherine E.; Zhang, Xin 5 2019 The elliptic curve discrete logarithm problem and equivalent hard problems for elliptic divisibility sequences. Zbl 1256.94055 Lauter, Kristin E.; Stange, Katherine E. 4 2009 How to make the most of a shared meal: plan the last bite first. Zbl 1258.91020 Levine, Lionel; Stange, Katherine E. 4 2012 Security considerations for Galois non-dual RLWE families. Zbl 1418.94037 Chen, Hao; Lauter, Kristin; Stange, Katherine E. 3 2017 The sensual Apollonian circle packing. Zbl 1354.52025 Stange, Katherine E. 3 2016 Ring-LWE cryptography for the number theorist. Zbl 1371.11154 Elias, Yara; Lauter, Kristin E.; Ozman, Ekin; Stange, Katherine E. 3 2016 A family of monogenic \(S_4\) quartic fields arising from elliptic curves. Zbl 1410.11050 Gassert, T. Alden; Smith, Hanson; Stange, Katherine E. 3 2019 The dynamics of super-Apollonian continued fractions. Zbl 1436.11011 Chaubey, Sneha; Fuchs, Elena; Hines, Robert; Stange, Katherine E. 3 2019 Pairings on hyperelliptic curves. Zbl 1214.14021 Balakrishnan, Jennifer; Belding, Juliana; Chisholm, Sarah; Eisenträger, Kirsten; Stange, Katherine E.; Teske, Edlyn 2 2011 Orienteering with one endomorphism. Zbl 1524.14057 Arpin, Sarah; Chen, Mingjie; Lauter, Kristin E.; Scheidler, Renate; Stange, Katherine E.; Tran, Ha T. N. 2 2023 A duality principle for selection games. Zbl 1401.91021 Levine, Lionel; Sheffield, Scott; Stange, Katherine E. 1 2013 Orienteering with one endomorphism. Zbl 1524.14057 Arpin, Sarah; Chen, Mingjie; Lauter, Kristin E.; Scheidler, Renate; Stange, Katherine E.; Tran, Ha T. N. 2 2023 Monogenic fields arising from trinomials. Zbl 1515.11105 Ibarra, Ryan; Lembeck, Henry; Ozaslan, Mohammad; Smith, Hanson; Stange, Katherine E. 6 2022 Improved torsion-point attacks on SIDH variants. Zbl 1489.94094 de Quehen, Victoria; Kutas, Péter; Leonardi, Chris; Martindale, Chloe; Panny, Lorenz; Petit, Christophe; Stange, Katherine E. 13 2021 Local-global principles in circle packings. Zbl 1418.52008 Fuchs, Elena; Stange, Katherine E.; Zhang, Xin 5 2019 A family of monogenic \(S_4\) quartic fields arising from elliptic curves. Zbl 1410.11050 Gassert, T. Alden; Smith, Hanson; Stange, Katherine E. 3 2019 The dynamics of super-Apollonian continued fractions. Zbl 1436.11011 Chaubey, Sneha; Fuchs, Elena; Hines, Robert; Stange, Katherine E. 3 2019 The Apollonian structure of Bianchi groups. Zbl 1393.52013 Stange, Katherine E. 8 2018 Visualizing the arithmetic of imaginary quadratic fields. Zbl 1442.52019 Stange, Katherine E. 6 2018 Attacks on the search RLWE problem with small errors. Zbl 1417.94052 Chen, Hao; Lauter, Kristin; Stange, Katherine E. 7 2017 Index divisibility in dynamical sequences and cyclic orbits modulo \(p\). Zbl 1395.37064 Chen, Annie S.; Gassert, T. Alden; Stange, Katherine E. 6 2017 Arithmetic properties of the Frobenius traces defined by a rational abelian variety (with two appendices by J-P. Serre). Zbl 1405.11078 Cojocaru, Alina Carmen; Davis, Rachel; Silverberg, Alice; Stange, Katherine E. 6 2017 Security considerations for Galois non-dual RLWE families. Zbl 1418.94037 Chen, Hao; Lauter, Kristin; Stange, Katherine E. 3 2017 Integral points on elliptic curves and explicit valuations of division polynomials. Zbl 1406.11055 Stange, Katherine E. 8 2016 The sensual Apollonian circle packing. Zbl 1354.52025 Stange, Katherine E. 3 2016 Ring-LWE cryptography for the number theorist. Zbl 1371.11154 Elias, Yara; Lauter, Kristin E.; Ozman, Ekin; Stange, Katherine E. 3 2016 Provably weak instances of Ring-LWE. Zbl 1336.94046 Elias, Yara; Lauter, Kristin E.; Ozman, Ekin; Stange, Katherine E. 16 2015 A duality principle for selection games. Zbl 1401.91021 Levine, Lionel; Sheffield, Scott; Stange, Katherine E. 1 2013 Algebraic divisibility sequences over function fields. Zbl 1251.11008 Ingram, Patrick; Mahé, Valéry; Silverman, Joseph H.; Stange, Katherine E.; Streng, Marco 6 2012 How to make the most of a shared meal: plan the last bite first. Zbl 1258.91020 Levine, Lionel; Stange, Katherine E. 4 2012 Elliptic nets and elliptic curves. Zbl 1277.11063 Stange, Katherine E. 11 2011 Terms in elliptic divisibility sequences divisible by their indices. Zbl 1225.11079 Silverman, Joseph H.; Stange, Katherine E. 11 2011 Amicable pairs and aliquot cycles for elliptic curves. Zbl 1269.11056 Silverman, Joseph H.; Stange, Katherine E. 11 2011 Pairings on hyperelliptic curves. Zbl 1214.14021 Balakrishnan, 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 1256.94055 Lauter, Kristin E.; Stange, Katherine E. 4 2009 The Tate pairing via elliptic nets. Zbl 1151.94570 Stange, Katherine E. 13 2007 all cited Publications top 5 cited Publications all top 5 Cited by 231 Authors 14 Stange, Katherine E. 6 Lauter, Kristin Estella 5 Wesolowski, Benjamin 4 El Fadil, Lhoussain 4 Fouotsa, Tako Boris 4 Uchiyama, Shigenori 3 De Feo, Luca 3 Kanayama, Naoki 3 Leroux, Antonin 3 Levine, Lionel 3 Panny, Lorenz 3 Parks, James M. 3 Petit, Christophe 3 Sanna, Carlo 3 Silverman, Joseph Hillel 3 Smith, Hanson 3 Streng, Marco 2 Akbary, Amir 2 Albrecht, Martin R. 2 Basso, Andrea 2 Ben Yakkou, Hamid 2 Cha, Byungchul 2 Chen, Hao 2 Chiesa, Alessandro 2 Fuchs, Elena D. 2 Galbraith, Steven D. 2 Gassert, Thomas Alden 2 Gezer, Betúl 2 Jha, Abhishek Kumar 2 Kim, Seoyoung 2 Kontorovich, Alex V. 2 Kutas, Péter 2 Longa, Patrick 2 Mahé, Valéry 2 Merz, Simon-Philipp 2 Morrison, Travis 2 Müller, Jan Steffen 2 Okamoto, Eiji 2 Sheydvasser, Arseniy 2 Teruya, Tadanori 2 Zhang, Xin 1 Agievich, Sergeĭ Valer’evich 1 Akiyama, Shigeki 1 Alaya, Bechir 1 Alkim, Erdem 1 Allouche, Jean-Paul Simon 1 Aranha, Diego F. 1 Arnold, Maxim 1 Arpin, Sarah 1 Attema, Thomas 1 Aygin, Zafer Selçuk 1 Babinkostova, Liljana 1 Bai, Shi 1 Balakrishnan, Jennifer S. 1 Barańczuk, Stefan 1 Barreto, Paulo S. L. M. 1 Bellah, Elisa 1 Bellés-Muñoz, Marta 1 Ben-Sasson, Eli 1 Besser, Amnon 1 Bhakta, Subham 1 Bianchi, Francesca 1 Billera, Louis J. 1 Bindel, Nina 1 Bizim, Osman 1 Blanco-Chacón, Iván 1 Bleaney, Jeff 1 Blomer, Valentin 1 Bou-Rabee, Ahmed 1 Brown, Jim L. 1 Case, Benjamin M. 1 Castryck, Wouter 1 Chan, Stephanie F. 1 Chase, Melissa 1 Chaubey, Sneha 1 Chen, Hao 1 Chen, Hao 1 Chen, Mingjie 1 Chen, Yao 1 Cheng, Qi 1 Chin, Ariana 1 Chua, Lynn 1 Codogni, Giulio 1 Cojocaru, Alina Carmen 1 Connolly, Deirdre 1 Coopman, Michael 1 David, Chantal 1 De Saxcé, Nicolas 1 Decru, Thomas 1 Denniston, Derric 1 Ding, Jintai 1 Ducas, Léo 1 Einsiedler, Manfred Leopold 1 El Housni, Youssef 1 Eydelzon, Anatoly 1 Fouotsa, Emmanuel 1 Gaál, István 1 Gao, Shuhong 1 Goldwasser, Shafi 1 Gong, Guang ...and 131 more Authors all top 5 Cited in 62 Serials 13 Journal of Number Theory 5 Designs, Codes and Cryptography 4 Functiones et Approximatio. Commentarii Mathematici 4 Transactions of the American Mathematical Society 4 International Journal of Number Theory 3 The New York Journal of Mathematics 3 The Ramanujan Journal 3 JSIAM Letters 3 SIAM Journal on Applied Algebra and Geometry 2 Rocky Mountain Journal of Mathematics 2 Mathematics of Computation 2 Journal of Algebra 2 Proceedings of the American Mathematical Society 2 Integers 2 Oberwolfach Reports 2 Journal of Mathematical Cryptology 1 Bulletin of the Australian Mathematical Society 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 The Mathematical Intelligencer 1 Acta Arithmetica 1 Advances in Mathematics 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematica Slovaca 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Quaestiones Mathematicae 1 Theoretical Computer Science 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Bulletin of the Korean Mathematical Society 1 Bulletin of the Iranian 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 Journal of Group Theory 1 Journal of Discrete Mathematical Sciences & Cryptography 1 Journal of Integer Sequences 1 Annals of Mathematics. Second Series 1 Journal of High Energy Physics 1 Journal of the Australian Mathematical Society 1 JP Journal of Algebra, Number Theory and Applications 1 Hacettepe Journal of Mathematics and Statistics 1 Journal of Algebra and its Applications 1 Algebra & Number Theory 1 Discrete Mathematics, Algorithms and Applications 1 Cryptography and Communications 1 Science China. Information Sciences 1 Computer Science Review 1 Research in Number Theory 1 Transactions of the American Mathematical Society. Series B 1 Annales Henri Lebesgue 1 Prikladnaya Diskretnaya Matematika 1 Matematicheskie Voprosy Kriptografii 1 La Matematica all top 5 Cited in 30 Fields 91 Number theory (11-XX) 40 Information and communication theory, circuits (94-XX) 30 Algebraic geometry (14-XX) 13 Computer science (68-XX) 9 Convex and discrete geometry (52-XX) 8 Group theory and generalizations (20-XX) 8 Quantum theory (81-XX) 7 Combinatorics (05-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 Topological groups, Lie groups (22-XX) 3 Geometry (51-XX) 2 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Commutative algebra (13-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Partial differential equations (35-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 \(K\)-theory (19-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year