Следене
Katherine Elisabeth Stange
Katherine Elisabeth Stange
Associate Professor of Mathematics, University of Colorado Boulder
Потвърден имейл адрес: math.colorado.edu - Начална страница
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Позовавания
Позовавания
Година
Provably weak instances of Ring-LWE
Y Elias, KE Lauter, E Ozman, KE Stange
Advances in Cryptology--CRYPTO 2015: 35th Annual Cryptology Conference …, 2015
1202015
The Tate pairing via elliptic nets
KE Stange
Pairing-Based Cryptography–Pairing 2007: First International Conference …, 2007
872007
The elliptic curve discrete logarithm problem and equivalent hard problems for elliptic divisibility sequences
KE Lauter, KE Stange
International Workshop on Selected Areas in Cryptography, 309-327, 2008
502008
Improved torsion-point attacks on SIDH variants
V de Quehen, P Kutas, C Leonardi, C Martindale, L Panny, C Petit, ...
Advances in Cryptology–CRYPTO 2021: 41st Annual International Cryptology …, 2021
492021
Elliptic nets and elliptic curves
K Stange
Algebra & Number Theory 5 (2), 197-229, 2011
432011
Attacks on the search RLWE problem with small errors
H Chen, K Lauter, KE Stange
SIAM Journal on Applied Algebra and Geometry 1 (1), 665-682, 2017
392017
Security considerations for Galois non-dual RLWE families
H Chen, K Lauter, KE Stange
Selected Areas in Cryptography–SAC 2016: 23rd International Conference, St …, 2017
352017
Vulnerable Galois RLWE Families and Improved Attacks.
H Chen, KE Lauter, KE Stange
IACR Cryptol. ePrint Arch. 2016, 193, 2016
352016
Attacks on search RLWE
H Chen, K Lauter, KE Stange
332015
Amicable pairs and aliquot cycles for elliptic curves
JH Silverman, KE Stange
Experimental Mathematics 20 (3), 329-357, 2011
332011
The Apollonian structure of Bianchi groups
KE Stange
Transactions of the American Mathematical Society 370 (9), 6169-6219, 2018
312018
Terms in elliptic divisibility sequences divisible by their indices
KE Stange, JH Silverman
arXiv preprint arXiv:1001.5303, 2010
272010
Visualizing the arithmetic of imaginary quadratic fields
KE Stange
International Mathematics Research Notices 2018 (12), 3908-3938, 2018
262018
Failing to hash into supersingular isogeny graphs
J Booher, R Bowden, J Doliskani, TB Fouotsa, SD Galbraith, S Kunzweiler, ...
arXiv preprint arXiv:2205.00135, 2022
242022
Standards-based grading in an introduction to abstract mathematics course
KE Stange
Primus 28 (9), 797-820, 2018
222018
Integral points on elliptic curves and explicit valuations of division polynomials
KE Stange
Canadian Journal of Mathematics 68 (5), 1120-1158, 2016
222016
Pairings on Hyperelliptic Curves.
JS Balakrishnan, J Belding, S Chisholm, K Eisenträger, KE Stange, ...
WIN-Women in Numbers, 87-120, 2011
222011
Weak instances of SIDH variants under improved torsion-point attacks
P Kutas, C Martindale, L Panny, C Petit, KE Stange
arXiv preprint arXiv:2005.14681, 2020
192020
Local-global principles in circle packings
E Fuchs, KE Stange, X Zhang
Compositio Mathematica 155 (6), 1118-1170, 2019
182019
Ring-LWE cryptography for the number theorist
Y Elias, KE Lauter, E Ozman, KE Stange
Directions in Number Theory: Proceedings of the 2014 WIN3 Workshop, 271-290, 2016
182016
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