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Stange, Katherine E.

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Author ID: stange.katherine-e Recent zbMATH articles by "Stange, Katherine E."
Published as: Stange, Katherine E.
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Publications by Year

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 1151.94570
Stange, Katherine E.
11
2007
Provably weak instances of Ring-LWE. Zbl 1336.94046
Elias, Yara; Lauter, Kristin E.; Ozman, Ekin; Stange, Katherine E.
11
2015
Amicable pairs and aliquot cycles for elliptic curves. Zbl 1269.11056
Silverman, Joseph H.; Stange, Katherine E.
7
2011
Elliptic nets and elliptic curves. Zbl 1277.11063
Stange, Katherine E.
7
2011
Terms in elliptic divisibility sequences divisible by their indices. Zbl 1225.11079
Silverman, Joseph H.; Stange, Katherine E.
7
2011
The Apollonian structure of Bianchi groups. Zbl 1393.52013
Stange, Katherine E.
6
2018
Algebraic divisibility sequences over function fields. Zbl 1251.11008
Ingram, 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 1258.91020
Levine, Lionel; Stange, Katherine E.
4
2012
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
Attacks on the search RLWE problem with small errors. Zbl 1417.94052
Chen, Hao; Lauter, Kristin; Stange, Katherine E.
4
2017
Integral points on elliptic curves and explicit valuations of division polynomials. Zbl 1406.11055
Stange, Katherine E.
3
2016
Index divisibility in dynamical sequences and cyclic orbits modulo \(p\). Zbl 1395.37064
Chen, Annie S.; Gassert, T. Alden; Stange, Katherine E.
3
2017
Local-global principles in circle packings. Zbl 1418.52008
Fuchs, Elena; Stange, Katherine E.; Zhang, Xin
3
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
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.
3
2017
Visualizing the arithmetic of imaginary quadratic fields. Zbl 1442.52019
Stange, Katherine E.
3
2018
Pairings on hyperelliptic curves. Zbl 1214.14021
Balakrishnan, Jennifer; Belding, Juliana; Chisholm, Sarah; Eisenträger, Kirsten; Stange, Katherine E.; Teske, Edlyn
2
2011
The sensual Apollonian circle packing. Zbl 1354.52025
Stange, Katherine E.
2
2016
A duality principle for selection games. Zbl 1401.91021
Levine, Lionel; Sheffield, Scott; Stange, Katherine E.
1
2013
Security considerations for Galois non-dual RLWE families. Zbl 1418.94037
Chen, Hao; Lauter, Kristin; Stange, Katherine E.
1
2017
Ring-LWE cryptography for the number theorist. Zbl 1371.11154
Elias, Yara; Lauter, Kristin E.; Ozman, Ekin; Stange, Katherine E.
1
2016
The dynamics of super-Apollonian continued fractions. Zbl 1436.11011
Chaubey, Sneha; Fuchs, Elena; Hines, Robert; Stange, Katherine E.
1
2019
Local-global principles in circle packings. Zbl 1418.52008
Fuchs, Elena; Stange, Katherine E.; Zhang, Xin
3
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.
1
2019
The Apollonian structure of Bianchi groups. Zbl 1393.52013
Stange, Katherine E.
6
2018
Visualizing the arithmetic of imaginary quadratic fields. Zbl 1442.52019
Stange, Katherine E.
3
2018
Attacks on the search RLWE problem with small errors. Zbl 1417.94052
Chen, Hao; Lauter, Kristin; Stange, Katherine E.
4
2017
Index divisibility in dynamical sequences and cyclic orbits modulo \(p\). Zbl 1395.37064
Chen, 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 1405.11078
Cojocaru, Alina Carmen; Davis, Rachel; Silverberg, Alice; Stange, Katherine E.
3
2017
Security considerations for Galois non-dual RLWE families. Zbl 1418.94037
Chen, Hao; Lauter, Kristin; Stange, Katherine E.
1
2017
Integral points on elliptic curves and explicit valuations of division polynomials. Zbl 1406.11055
Stange, Katherine E.
3
2016
The sensual Apollonian circle packing. Zbl 1354.52025
Stange, Katherine E.
2
2016
Ring-LWE cryptography for the number theorist. Zbl 1371.11154
Elias, Yara; Lauter, Kristin E.; Ozman, Ekin; Stange, Katherine E.
1
2016
Provably weak instances of Ring-LWE. Zbl 1336.94046
Elias, Yara; Lauter, Kristin E.; Ozman, Ekin; Stange, Katherine E.
11
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
5
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
Amicable pairs and aliquot cycles for elliptic curves. Zbl 1269.11056
Silverman, Joseph H.; Stange, Katherine E.
7
2011
Elliptic nets and elliptic curves. Zbl 1277.11063
Stange, Katherine E.
7
2011
Terms in elliptic divisibility sequences divisible by their indices. Zbl 1225.11079
Silverman, Joseph H.; Stange, Katherine E.
7
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.
11
2007
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

Citations by Year