The Tate Pairing via Elliptic Nets. - Katherine E. Stange (IACR Cryptol. ePrint Arch., 2006)

The Elliptic Curve Discrete Logarithm Problem and Equivalent Hard Problems for Elliptic Divisibility Sequences. - Kristin E. Lauter; Katherine E. Stange (IACR Cryptol. ePrint Arch., 2008)

Pairings on hyperelliptic curves - Jennifer S. Balakrishnan; Juliana Belding; Sarah Chisholm; Kirsten Eisenträger; Katherine E. Stange; Edlyn Teske (CoRR, 2009)

Pairings on Hyperelliptic Curves. - Jennifer S. Balakrishnan; Juliana Belding; Sarah Chisholm; Kirsten Eisenträger; Katherine E. Stange; Edlyn Teske (WIN - Women in Numbers, 2011)

A duality principle for selection games - Lionel Levine; Scott Sheffield; Katherine E. Stange (CoRR, 2011)

Amicable Pairs and Aliquot Cycles for Elliptic Curves. - Joseph H. Silverman; Katherine E. Stange (Exp. Math., 2011)

How to Make the Most of a Shared Meal: Plan the Last Bite First. - Lionel Levine; Katherine E. Stange (Am. Math. Mon., 2012)

Attacks on Search RLWE. - Hao Chen 030; Kristin E. Lauter; Katherine E. Stange (IACR Cryptol. ePrint Arch., 2015)

Provably weak instances of Ring-LWE. - Yara Elias; Kristin E. Lauter; Ekin Ozman; Katherine E. Stange (IACR Cryptol. ePrint Arch., 2015)

Ring-LWE Cryptography for the Number Theorist. - Yara Elias; Kristin E. Lauter; Ekin Ozman; Katherine E. Stange (IACR Cryptol. ePrint Arch., 2015)

Security Considerations for Galois Non-dual RLWE Families. - Hao Chen 030; Kristin E. Lauter; Katherine E. Stange (SAC, 2016)

Vulnerable Galois RLWE Families and Improved Attacks. - Hao Chen 030; Kristin E. Lauter; Katherine E. Stange (IACR Cryptol. ePrint Arch., 2016)

Attacks on the Search RLWE Problem with Small Errors. - Hao Chen 030; Kristin E. Lauter; Katherine E. Stange (SIAM J. Appl. Algebra Geom., 2017)

Weak instances of SIDH variants under improved torsion-point attacks. - Péter Kutas; Chloe Martindale; Lorenz Panny; Christophe Petit 001; Katherine E. Stange (IACR Cryptol. ePrint Arch., 2020)

Improved Torsion-Point Attacks on SIDH Variants. - Victoria de Quehen; Péter Kutas; Chris Leonardi; Chloe Martindale; Lorenz Panny; Christophe Petit 001; Katherine E. Stange (CRYPTO (3), 2021)

Algebraic Aspects of Solving Ring-LWE, Including Ring-Based Improvements in the Blum-Kalai-Wasserman Algorithm. - Katherine E. Stange (SIAM J. Appl. Algebra Geom., 2021)

Algebraic Number Starscapes. - Edmund Harriss; Katherine E. Stange; Steve Trettel (Exp. Math., 2022)

Orienteering with one endomorphism. - Sarah Arpin; Mingjie Chen; Kristin E. Lauter; Renate Scheidler; Katherine E. Stange; Ha T. N. Tran (IACR Cryptol. ePrint Arch., 2022)

Orientations and cycles in supersingular isogeny graphs. - Sarah Arpin; Mingjie Chen; Kristin E. Lauter; Renate Scheidler; Katherine E. Stange; Ha T. N. Tran (IACR Cryptol. ePrint Arch., 2022)

Factoring using multiplicative relations modulo n: a subexponential algorithm inspired by the index calculus. - Katherine E. Stange (IACR Cryptol. ePrint Arch., 2022)

Extending Class Group Action Attacks via Sesquilinear Pairings. - Joseph Macula; Katherine E. Stange (ASIACRYPT (3), 2024)

Failing to Hash Into Supersingular Isogeny Graphs. - Jeremy Booher; Ross Bowden; Javad Doliskani; Tako Boris Fouotsa; Steven D. Galbraith; Sabrina Kunzweiler; Simon-Philipp Merz; Christophe Petit 001; Benjamin Smith 003; Katherine E. Stange; Yan Bo Ti; Christelle Vincent; et al. (Comput. J., 2024)

Traceable random numbers from a nonlocal quantum advantage. - Gautam A. Kavuri; Jasper Palfree; Dileep V. Reddy; Yanbao Zhang; Joshua C. Bienfang; Michael D. Mazurek; Mohammad A. Alhejji; Aliza U. Siddiqui; Joseph M. Cavanagh; Aagam Dalal; Carlos Abellán; Waldimar Amaya; et al. (CoRR, 2024)

Extending class group action attacks via pairings. - Joseph Macula; Katherine E. Stange (IACR Cryptol. ePrint Arch., 2024)

On the Complexity of Isomorphism Problems for Tensors, Groups, and Polynomials V: Over Commutative Rings. - Joshua A. Grochow; Youming Qiao; Katherine E. Stange; Xiaorui Sun (STOC, 2025)

Division polynomials for arbitrary isogenies. - Katherine E. Stange (IACR Cryptol. ePrint Arch., 2025)