Edit Profile (opens in new tab) Lauter, Kristin Estella Co-Author Distance Author ID: lauter.kristin-e Published as: Lauter, Kristin; Lauter, Kristin E. Homepage: https://www.microsoft.com/en-us/research/people/klauter/?from=https%3A%2F%2Frese... External Links: MGP · Wikidata · Google Scholar · Twitter · dblp · GND · IdRef · theses.fr Documents Indexed: 98 Publications since 1996, including 4 Additional arXiv Preprints 10 Contributions as Editor · 1 Further Contribution Software Indexed: 3 Packages Co-Authors: 142 Co-Authors with 96 Joint Publications 3,224 Co-Co-Authors all top 5 Co-Authors 12 single-authored 8 Bröker, Reinier 8 Naehrig, Michael 7 Goren, Eyal Z. 7 Stange, Katherine E. 6 Eisenträger, Kirsten 6 Howe, Everett W. 5 Charles, Denis Xavier 5 Costello, Craig 5 Viray, Bianca 4 Bos, Joppe W. 4 Lorenzo García, Elisa 4 Montgomery, Peter Lawrence 4 Ozman, Ekin 4 Petit, Christophe 3 Arpin, Sarah 3 Ionica, Sorina 3 Kılıçer, Pınar 3 Laine, Kim 3 Scheidler, Renate 3 Serre, Jean-Pierre 3 Vincent, Christelle 3 Yang, Tonghai 2 Balakrishnan, Jennifer S. 2 Chambers, Erin Wolf 2 Chen, Hao 2 Chen, Mingjie 2 Cheon, Jung Hee 2 Elias, Yara 2 Hallgren, Sean 2 Hisil, Huseyin 2 Jetchev, Dimitar P. 2 Mânzăţeanu, Adelina 2 Massierer, Maike 2 Mityagin, Anton 2 Morrison, Travis 2 Newton, Rachel 2 Savitt, David 2 Song, Yongsoo 2 Sotáková, Jana 2 Streng, Marco 2 Tran, Ha Thanh Nguyen 1 Acar, Tolga 1 Agashe, Amod 1 Albrecht, Martin R. 1 Amorós, Laia 1 Anderson, Jacqueline 1 Bauer, Kristine 1 Belding, Juliana V. 1 Benkart, Georgia McClure 1 Bolkema, Jessalyn 1 Boneh, Dan 1 Bouw, Irene I. 1 Brasselet, Jean-Paul 1 Camacho-Navarro, Catalina 1 Charton, François 1 Chase, Melissa 1 Chen, Hao 1 Chua, Lynn 1 Ciet, Mathieu 1 Cojocaru, Alina Carmen 1 Cooley, Jenny 1 Costache, Anamaria 1 Deines-Schartz, Alyson 1 Ding, Jintai 1 Enge, Andreas 1 Feigon, Brooke 1 Flournoy, Nancy 1 Fuchs, Elena D. 1 Glass, Darren B. 1 Gluesing-Luerssen, Heide 1 Goldwasser, Shafi 1 Gorbunov, Sergeĭ Vladimirovich 1 Graepel, Thore 1 Grigsby, Julia Elisenda 1 Gruenewald, David 1 Grundman, Helen G. 1 Halevi, Shai 1 Hoffstein, Jeffrey 1 Iezzi, Annamaria 1 Jain, Kamal C. 1 Johnson-Leung, Jennifer 1 Johnson, Brenda Lynn 1 Joye, Marc 1 Kelley, Christine A. 1 Kennedy, Gary 1 Kohel, David R. 1 Krashen, Daniel 1 LaMacchia, Brian A. 1 Lange, Tanja 1 Leonard, Kathryn 1 Letzter, Gail 1 Li, Cathy 1 Lim, Joelle 1 Lisoněk, Petr 1 Litman, Matthew 1 Loftus, Jake 1 Lokam, Satya 1 López-Alt, Adriana 1 Malmskog, Beth 1 Manes, Michelle ...and 42 more Co-Authors all top 5 Serials 6 LMS Journal of Computation and Mathematics 5 Journal of Number Theory 4 Journal of Mathematical Cryptology 3 Annales de l’Institut Fourier 3 IMRN. International Mathematics Research Notices 3 Notices of the American Mathematical Society 2 Mathematics of Computation 2 Proceedings of the American Mathematical Society 2 Journal of Cryptology 2 Designs, Codes and Cryptography 2 Contemporary Mathematics 2 Lecture Notes in Computer Science 2 Algebra & Number Theory 2 Association for Women in Mathematics Series 2 La Matematica 1 American Journal of Mathematics 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Journal of Algebra 1 Manuscripta Mathematica 1 Internationale Mathematische Nachrichten 1 SIAM Journal on Matrix Analysis and Applications 1 Experimental Mathematics 1 Journal of Algebraic Geometry 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 The Quarterly Journal of Mathematics 1 Fields Institute Communications 1 International Journal of Information and Coding Theory 1 Research in Number Theory 1 SIAM Journal on Applied Algebra and Geometry 1 European Mathematical Society Magazine all top 5 Fields 67 Number theory (11-XX) 58 Algebraic geometry (14-XX) 48 Information and communication theory, circuits (94-XX) 12 Computer science (68-XX) 10 General and overarching topics; collections (00-XX) 6 Combinatorics (05-XX) 5 History and biography (01-XX) 3 Quantum theory (81-XX) 2 Numerical analysis (65-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 85 Publications have been cited 1,065 times in 701 Documents Cited by ▼ Year ▼ Cryptographic hash functions from expander graphs. Zbl 1166.94006 Charles, Denis X.; Lauter, Kristin E.; Goren, Eyal Z. 129 2009 Stronger security of authenticated key exchange. Zbl 1138.94381 LaMacchia, Brian; Lauter, Kristin; Mityagin, Anton 96 2007 Supersingular isogeny graphs and endomorphism rings: reductions and solutions. Zbl 1415.94426 Eisenträger, Kirsten; Hallgren, Sean; Lauter, Kristin; Morrison, Travis; Petit, Christophe 50 2018 On the quaternion \(\ell\)-isogeny path problem. Zbl 1296.11153 Kohel, David; Lauter, Kristin; Petit, Christophe; Tignol, Jean-Pierre 47 2014 Improved security for a ring-based fully homomorphic encryption scheme. Zbl 1317.94088 Bos, Joppe W.; Lauter, Kristin; Loftus, Jake; Naehrig, Michael 47 2013 Modular polynomials via isogeny volcanoes. Zbl 1267.11125 Bröker, Reinier; Lauter, Kristin; Sutherland, Andrew V. 47 2012 Quantum resource estimates for computing elliptic curve discrete logarithms. Zbl 1380.81094 Roetteler, Martin; Naehrig, Michael; Svore, Krysta M.; Lauter, Kristin 26 2017 Geometric methods for improving the upper bounds on the number of rational points on algebraic curves over finite fields. Appendice by J. -P. Serre. Zbl 0982.14015 Lauter, Kristin 25 2001 ML confidential: machine learning on encrypted data. Zbl 1293.68110 Graepel, Thore; Lauter, Kristin; Naehrig, Michael 25 2013 Trading inversions for multiplications in elliptic curve cryptography. Zbl 1116.14026 Ciet, Mathieu; Joye, Marc; Lauter, Kristin; Montgomery, Peter L. 22 2006 Class invariants for quartic CM fields. Zbl 1172.11018 Goren, Eyal Z.; Lauter, Kristin E. 20 2007 Provably weak instances of Ring-LWE. Zbl 1336.94046 Elias, Yara; Lauter, Kristin E.; Ozman, Ekin; Stange, Katherine E. 19 2015 The maximum or minimum number of rational points on genus three curves over finite fields. Zbl 1031.11038 Lauter, Kristin; Serre, Jean-Pierre 19 2002 Computing Hilbert class polynomials. Zbl 1205.11139 Belding, Juliana; Bröker, Reinier; Enge, Andreas; Lauter, Kristin 19 2008 Private computation on encrypted genomic data. Zbl 1378.94053 Lauter, Kristin; López-Alt, Adriana; Naehrig, Michael 18 2015 A CRT algorithm for constructing genus 2 curves over finite fields. Zbl 1270.11060 Eisenträger, Kirsten; Lauter, Kristin 17 2009 Weak instances of PLWE. Zbl 1336.94045 Eisenträger, Kirsten; Hallgren, Sean; Lauter, Kristin 17 2014 Security analysis of KEA authenticated key exchange protocol. Zbl 1151.94532 Lauter, Kristin; Mityagin, Anton 16 2006 Genus 2 curves with complex multiplication. Zbl 1236.14033 Goren, Eyal Z.; Lauter, Kristin E. 16 2012 Full cryptanalysis of LPS and Morgenstern hash functions. Zbl 1180.68155 Petit, Christophe; Lauter, Kristin; Quisquater, Jean-Jacques 16 2008 On singular moduli for arbitrary discriminants. Zbl 1392.11088 Lauter, Kristin; Viray, Bianca 15 2015 Constructing genus-3 hyperelliptic Jacobians with CM. Zbl 1404.11085 Balakrishnan, Jennifer S.; Ionica, Sorina; Lauter, Kristin; Vincent, Christelle 15 2016 Fast elliptic curve arithmetic and improved Weil pairing evaluation. Zbl 1038.11079 Eisenträger, Kirsten; Lauter, Kristin; Montgomery, Peter L. 15 2003 Genus-2 curves and Jacobians with a given number of points. Zbl 1387.14086 Bröker, Reinier; Howe, Everett W.; Lauter, Kristin E.; Stevenhagen, Peter 13 2015 Group law computations on Jacobians of hyperelliptic curves. Zbl 1292.94049 Costello, Craig; Lauter, Kristin 13 2012 Families of Ramanujan graphs and quaternion algebras. Zbl 1250.05057 Charles, Denis X.; Goren, Eyal Z.; Lauter, Kristin E. 12 2009 Fast cryptography in genus 2. Zbl 1306.94033 Bos, Joppe W.; Costello, Craig; Hisil, Huseyin; Lauter, Kristin 12 2013 New methods for bounding the number of points on curves over finite fields. Zbl 1317.11065 Howe, Everett W.; Lauter, Kristin E. 11 2012 Explicit CM theory for level 2-structures on abelian surfaces. Zbl 1254.11060 Bröker, Reinier; Gruenewald, David; Lauter, Kristin 11 2011 An arithmetic intersection formula for denominators of Igusa class polynomials. Zbl 1392.11033 Lauter, Kristin; Viray, Bianca 10 2015 Modular polynomials for genus 2. Zbl 1252.11051 Bröker, Reinier; Lauter, Kristin 10 2009 Evaluating large degree isogenies and applications to pairing based cryptography. Zbl 1186.94428 Bröker, Reinier; Charles, Denis; Lauter, Kristin 10 2008 Improved upper bounds for the number of points on curves over finite fields. Zbl 1065.11043 Howe, Everett W.; Lauter, Kristin E. 10 2003 Attacks on the search RLWE problem with small errors. Zbl 1417.94052 Chen, Hao; Lauter, Kristin; Stange, Katherine E. 9 2017 Deligne-Lusztig curves as ray class fields. Zbl 0919.11076 Lauter, Kristin 8 1999 Pointless curves of genus three and four. Zbl 1116.14010 Howe, Everett W.; Lauter, Kristin E.; Top, Jaap 8 2005 Ramanujan graphs in cryptography. Zbl 1457.94115 Costache, Anamaria; Feigon, Brooke; Lauter, Kristin; Massierer, Maike; Puskás, Anna 8 2019 Computing genus 2 curves from invariants on the Hilbert moduli space. Zbl 1225.11084 Lauter, Kristin; Yang, Tonghai 8 2011 Computing endomorphism rings of Jacobians of genus 2 curves over finite fields. Zbl 1151.14314 Freeman, David; Lauter, Kristin 8 2008 Bad reduction of genus three curves with complex multiplication. Zbl 1397.11102 Bouw, Irene; Cooley, Jenny; Lauter, Kristin; Lorenzo García, Elisa; Manes, Michelle; Newton, Rachel; Ozman, Ekin 7 2015 An analysis of affine coordinates for pairing computation. Zbl 1287.94079 Lauter, Kristin; Montgomery, Peter L.; Naehrig, Michael 7 2010 Signatures for network coding. Zbl 1207.94050 Charles, Denis; Jain, Kamal; Lauter, Kristin 7 2009 Affine pairings on ARM. Zbl 1305.94032 Acar, Tolga; Lauter, Kristin; Naehrig, Michael; Shumow, Daniel 7 2013 Computing modular polynomials. Zbl 1119.11030 Charles, Denis; Lauter, Kristin 7 2005 Constructing elliptic curves with a known number of points over a prime field. Zbl 1102.11031 Agashe, Amod; Lauter, Kristin; Venkatesan, Ramarathnam 6 2004 Time-memory trade-offs for index calculus in genus 3. Zbl 1370.94522 Laine, Kim; Lauter, Kristin 6 2015 A bound on the primes of bad reduction for CM curves of genus \(3\). Zbl 1503.11092 Kılıçer, Pınar; Lauter, Kristin; Lorenzo García, Elisa; Newton, Rachel; Ozman, Ekin; Streng, Marco 6 2020 Multiparty non-interactive key exchange and more from isogenies on elliptic curves. Zbl 1445.14043 Boneh, Dan; Glass, Darren; Krashen, Daniel; Lauter, Kristin; Sharif, Shahed; Silverberg, Alice; Tibouchi, Mehdi; Zhandry, Mark 6 2020 Ring-LWE cryptography for the number theorist. Zbl 1371.11154 Elias, Yara; Lauter, Kristin E.; Ozman, Ekin; Stange, Katherine E. 6 2016 Non-existence of a curve over \(\mathbb F_3\) of genus 5 with 14 rational points. Zbl 0983.11036 Lauter, Kristin 5 2000 Homomorphic encryption standard. Zbl 1502.94026 Albrecht, Martin; Chase, Melissa; Chen, Hao; Ding, Jintai; Goldwasser, Shafi; Gorbunov, Sergey; Halevi, Shai; Hoffstein, Jeffrey; Laine, Kim; Lauter, Kristin; Lokam, Satya; Micciancio, Daniele; Moody, Dustin; Morrison, Travis; Sahai, Amit; Vaikuntanathan, Vinod 5 2021 Attractive subfamilies of BLS curves for implementing high-security pairings. Zbl 1291.94071 Costello, Craig; Lauter, Kristin; Naehrig, Michael 5 2011 Modular invariants for genus 3 hyperelliptic curves. Zbl 1420.14063 Ionica, Sorina; Kılıçer, Pınar; Lauter, Kristin; Lorenzo García, Elisa; Mânzăţeanu, Adelina; Massierer, Maike; Vincent, Christelle 5 2019 The maximum number of points on a curve of genus 4 over \({\mathbb F}_ 8\) is 25. With an appendix by Kristin Lauter. Zbl 1101.14026 Savitt, David 5 2003 Corrigendum to: “Improved upper bounds for the number of points on curves over finite fields”. Zbl 1248.11043 Howe, Everett W.; Lauter, Kristin E. 5 2007 Fast cryptography in genus 2. Zbl 1351.94028 Bos, Joppe W.; Costello, Craig; Hisil, Huseyin; Lauter, Kristin 4 2016 Hilbert theta series and invariants of genus 2 curves. Zbl 1332.14031 Lauter, Kristin; Naehrig, Michael; Yang, Tonghai 4 2016 Zeta functions of curves over finite fields with many rational points. Zbl 1009.11049 Lauter, Kristin 4 2000 Selected areas in cryptography – SAC 2013. 20th international conference, Burnaby, BC, Canada, August 14–16, 2013. Revised selected papers. Zbl 1321.94008 4 2014 Constructing abelian surfaces for cryptography via Rosenhain invariants. Zbl 1296.11067 Costello, Craig; Deines-Schartz, Alyson; Lauter, Kristin; Yang, Tonghai 4 2014 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 Security considerations for Galois non-dual RLWE families. Zbl 1418.94037 Chen, Hao; Lauter, Kristin; Stange, Katherine E. 4 2017 Orienteering with one endomorphism. Zbl 1524.14057 Arpin, Sarah; Chen, Mingjie; Lauter, Kristin E.; Scheidler, Renate; Stange, Katherine E.; Tran, Ha T. N. 4 2023 Explicit Heegner points: Kolyvagin’s conjecture and non-trivial elements in the Shafarevich-Tate group. Zbl 1228.11082 Jetchev, Dimitar; Lauter, Kristin; Stein, William 4 2009 A formula for constructing curves over finite fields with many rational points. Zbl 1044.11054 Lauter, Kristin 3 1999 Ray class field constructions of curves over finite fields with many rational points. Zbl 0935.11022 Lauter, Kristin 3 1996 Improved upper bounds for the number of rational points on algebraic curves over finite fields. Zbl 0948.11024 Lauter, Kristin 3 1999 Improved CRT algorithm for class polynomials in genus 2. Zbl 1344.11046 Lauter, Kristin E.; Robert, Damien 3 2013 Evil primes and superspecial moduli. Zbl 1124.14042 Goren, Eyal Z.; Lauter, Kristin E. 3 2006 Adventures in supersingularland. Zbl 1517.94057 Arpin, Sarah; Camacho-Navarro, Catalina; Lauter, Kristin; Lim, Joelle; Nelson, Kristina; Scholl, Travis; Sotáková, Jana 3 2023 Improved Weil and Tate pairings for elliptic and hyperelliptic curves. Zbl 1116.11042 Eisenträger, Kirsten; Lauter, Kristin; Montgomery, Peter L. 3 2004 AWM at 50 and beyond. Zbl 1467.01033 Benkart, Georgia; Lauter, Kristin; Wiegand, Sylvia 3 2021 Abelian surfaces admitting an \((l,l)\)-endomorphism. Zbl 1316.14085 Bröker, Reinier; Lauter, Kristin; Streng, Marco 2 2013 Evaluating Igusa functions. Zbl 1304.11030 Bröker, Reinier; Lauter, Kristin 2 2014 Variations of the McEliece cryptosystem. Zbl 1391.94731 Bolkema, Jessalyn; Gluesing-Luerssen, Heide; Kelley, Christine A.; Lauter, Kristin E.; Malmskog, Beth; Rosenthal, Joachim 2 2017 Generating pairing-friendly parameters for the CM construction of genus 2 curves over prime fields. Zbl 1277.11069 Lauter, Kristin; Shang, Ning 2 2013 The distance between superspecial abelian varieties with real multiplication. Zbl 1203.14047 Goren, Eyal Z.; Lauter, Kristin E. 2 2009 Progress in cryptology – LATINCRYPT 2015. 4th international conference on cryptology and information security in Latin America, Guadalajara, Mexico, August 23–26, 2015. Proceedings. Zbl 1319.94004 1 2015 A Gross-Zagier formula for quaternion algebras over totally real fields. Zbl 1300.11068 Goren, Eyal Z.; Lauter, Kristin E. 1 2013 WIN–women in numbers: Research directions in number theory. Papers evolved out of the WIN workshop, Banff, Canada, November 2–7, 2008. Zbl 1210.11005 1 2011 Computing the Cassels pairing on Kolyvagin classes in the Shafarevich-Tate group. Zbl 1186.94436 Eisenträger, Kirsten; Jetchev, Dimitar; Lauter, Kristin 1 2008 The equivalence of the geometric and algebraic group laws for Jacobians of genus 2 curves. Zbl 1051.14035 Lauter, Kristin E. 1 2003 Computational arithmetic geometry. AMS special session, San Francisco, CA, USA, April 29–30, 2006. Zbl 1143.11002 1 2008 Protecting privacy through homomorphic encryption. Based on 6 workshops on homomorphic encryption standardization. Zbl 1483.94003 1 2021 Explicit connections between supersingular isogeny graphs and Bruhat-Tits trees. Zbl 1498.14069 Amorós, Laia; Iezzi, Annamaria; Lauter, Kristin; Martindale, Chloe; Sotáková, Jana 1 2021 Orienteering with one endomorphism. Zbl 1524.14057 Arpin, Sarah; Chen, Mingjie; Lauter, Kristin E.; Scheidler, Renate; Stange, Katherine E.; Tran, Ha T. N. 4 2023 Adventures in supersingularland. Zbl 1517.94057 Arpin, Sarah; Camacho-Navarro, Catalina; Lauter, Kristin; Lim, Joelle; Nelson, Kristina; Scholl, Travis; Sotáková, Jana 3 2023 Homomorphic encryption standard. Zbl 1502.94026 Albrecht, Martin; Chase, Melissa; Chen, Hao; Ding, Jintai; Goldwasser, Shafi; Gorbunov, Sergey; Halevi, Shai; Hoffstein, Jeffrey; Laine, Kim; Lauter, Kristin; Lokam, Satya; Micciancio, Daniele; Moody, Dustin; Morrison, Travis; Sahai, Amit; Vaikuntanathan, Vinod 5 2021 AWM at 50 and beyond. Zbl 1467.01033 Benkart, Georgia; Lauter, Kristin; Wiegand, Sylvia 3 2021 Protecting privacy through homomorphic encryption. Based on 6 workshops on homomorphic encryption standardization. Zbl 1483.94003 1 2021 Explicit connections between supersingular isogeny graphs and Bruhat-Tits trees. Zbl 1498.14069 Amorós, Laia; Iezzi, Annamaria; Lauter, Kristin; Martindale, Chloe; Sotáková, Jana 1 2021 A bound on the primes of bad reduction for CM curves of genus \(3\). Zbl 1503.11092 Kılıçer, Pınar; Lauter, Kristin; Lorenzo García, Elisa; Newton, Rachel; Ozman, Ekin; Streng, Marco 6 2020 Multiparty non-interactive key exchange and more from isogenies on elliptic curves. Zbl 1445.14043 Boneh, Dan; Glass, Darren; Krashen, Daniel; Lauter, Kristin; Sharif, Shahed; Silverberg, Alice; Tibouchi, Mehdi; Zhandry, Mark 6 2020 Ramanujan graphs in cryptography. Zbl 1457.94115 Costache, Anamaria; Feigon, Brooke; Lauter, Kristin; Massierer, Maike; Puskás, Anna 8 2019 Modular invariants for genus 3 hyperelliptic curves. Zbl 1420.14063 Ionica, Sorina; Kılıçer, Pınar; Lauter, Kristin; Lorenzo García, Elisa; Mânzăţeanu, Adelina; Massierer, Maike; Vincent, Christelle 5 2019 Supersingular isogeny graphs and endomorphism rings: reductions and solutions. Zbl 1415.94426 Eisenträger, Kirsten; Hallgren, Sean; Lauter, Kristin; Morrison, Travis; Petit, Christophe 50 2018 Quantum resource estimates for computing elliptic curve discrete logarithms. Zbl 1380.81094 Roetteler, Martin; Naehrig, Michael; Svore, Krysta M.; Lauter, Kristin 26 2017 Attacks on the search RLWE problem with small errors. Zbl 1417.94052 Chen, Hao; Lauter, Kristin; Stange, Katherine E. 9 2017 Security considerations for Galois non-dual RLWE families. Zbl 1418.94037 Chen, Hao; Lauter, Kristin; Stange, Katherine E. 4 2017 Variations of the McEliece cryptosystem. Zbl 1391.94731 Bolkema, Jessalyn; Gluesing-Luerssen, Heide; Kelley, Christine A.; Lauter, Kristin E.; Malmskog, Beth; Rosenthal, Joachim 2 2017 Constructing genus-3 hyperelliptic Jacobians with CM. Zbl 1404.11085 Balakrishnan, Jennifer S.; Ionica, Sorina; Lauter, Kristin; Vincent, Christelle 15 2016 Ring-LWE cryptography for the number theorist. Zbl 1371.11154 Elias, Yara; Lauter, Kristin E.; Ozman, Ekin; Stange, Katherine E. 6 2016 Fast cryptography in genus 2. Zbl 1351.94028 Bos, Joppe W.; Costello, Craig; Hisil, Huseyin; Lauter, Kristin 4 2016 Hilbert theta series and invariants of genus 2 curves. Zbl 1332.14031 Lauter, Kristin; Naehrig, Michael; Yang, Tonghai 4 2016 Provably weak instances of Ring-LWE. Zbl 1336.94046 Elias, Yara; Lauter, Kristin E.; Ozman, Ekin; Stange, Katherine E. 19 2015 Private computation on encrypted genomic data. Zbl 1378.94053 Lauter, Kristin; López-Alt, Adriana; Naehrig, Michael 18 2015 On singular moduli for arbitrary discriminants. Zbl 1392.11088 Lauter, Kristin; Viray, Bianca 15 2015 Genus-2 curves and Jacobians with a given number of points. Zbl 1387.14086 Bröker, Reinier; Howe, Everett W.; Lauter, Kristin E.; Stevenhagen, Peter 13 2015 An arithmetic intersection formula for denominators of Igusa class polynomials. Zbl 1392.11033 Lauter, Kristin; Viray, Bianca 10 2015 Bad reduction of genus three curves with complex multiplication. Zbl 1397.11102 Bouw, Irene; Cooley, Jenny; Lauter, Kristin; Lorenzo García, Elisa; Manes, Michelle; Newton, Rachel; Ozman, Ekin 7 2015 Time-memory trade-offs for index calculus in genus 3. Zbl 1370.94522 Laine, Kim; Lauter, Kristin 6 2015 Progress in cryptology – LATINCRYPT 2015. 4th international conference on cryptology and information security in Latin America, Guadalajara, Mexico, August 23–26, 2015. Proceedings. Zbl 1319.94004 1 2015 On the quaternion \(\ell\)-isogeny path problem. Zbl 1296.11153 Kohel, David; Lauter, Kristin; Petit, Christophe; Tignol, Jean-Pierre 47 2014 Weak instances of PLWE. Zbl 1336.94045 Eisenträger, Kirsten; Hallgren, Sean; Lauter, Kristin 17 2014 Selected areas in cryptography – SAC 2013. 20th international conference, Burnaby, BC, Canada, August 14–16, 2013. Revised selected papers. Zbl 1321.94008 4 2014 Constructing abelian surfaces for cryptography via Rosenhain invariants. Zbl 1296.11067 Costello, Craig; Deines-Schartz, Alyson; Lauter, Kristin; Yang, Tonghai 4 2014 Evaluating Igusa functions. Zbl 1304.11030 Bröker, Reinier; Lauter, Kristin 2 2014 Improved security for a ring-based fully homomorphic encryption scheme. Zbl 1317.94088 Bos, Joppe W.; Lauter, Kristin; Loftus, Jake; Naehrig, Michael 47 2013 ML confidential: machine learning on encrypted data. Zbl 1293.68110 Graepel, Thore; Lauter, Kristin; Naehrig, Michael 25 2013 Fast cryptography in genus 2. Zbl 1306.94033 Bos, Joppe W.; Costello, Craig; Hisil, Huseyin; Lauter, Kristin 12 2013 Affine pairings on ARM. Zbl 1305.94032 Acar, Tolga; Lauter, Kristin; Naehrig, Michael; Shumow, Daniel 7 2013 Improved CRT algorithm for class polynomials in genus 2. Zbl 1344.11046 Lauter, Kristin E.; Robert, Damien 3 2013 Abelian surfaces admitting an \((l,l)\)-endomorphism. Zbl 1316.14085 Bröker, Reinier; Lauter, Kristin; Streng, Marco 2 2013 Generating pairing-friendly parameters for the CM construction of genus 2 curves over prime fields. Zbl 1277.11069 Lauter, Kristin; Shang, Ning 2 2013 A Gross-Zagier formula for quaternion algebras over totally real fields. Zbl 1300.11068 Goren, Eyal Z.; Lauter, Kristin E. 1 2013 Modular polynomials via isogeny volcanoes. Zbl 1267.11125 Bröker, Reinier; Lauter, Kristin; Sutherland, Andrew V. 47 2012 Genus 2 curves with complex multiplication. Zbl 1236.14033 Goren, Eyal Z.; Lauter, Kristin E. 16 2012 Group law computations on Jacobians of hyperelliptic curves. Zbl 1292.94049 Costello, Craig; Lauter, Kristin 13 2012 New methods for bounding the number of points on curves over finite fields. Zbl 1317.11065 Howe, Everett W.; Lauter, Kristin E. 11 2012 Explicit CM theory for level 2-structures on abelian surfaces. Zbl 1254.11060 Bröker, Reinier; Gruenewald, David; Lauter, Kristin 11 2011 Computing genus 2 curves from invariants on the Hilbert moduli space. Zbl 1225.11084 Lauter, Kristin; Yang, Tonghai 8 2011 Attractive subfamilies of BLS curves for implementing high-security pairings. Zbl 1291.94071 Costello, Craig; Lauter, Kristin; Naehrig, Michael 5 2011 WIN–women in numbers: Research directions in number theory. Papers evolved out of the WIN workshop, Banff, Canada, November 2–7, 2008. Zbl 1210.11005 1 2011 An analysis of affine coordinates for pairing computation. Zbl 1287.94079 Lauter, Kristin; Montgomery, Peter L.; Naehrig, Michael 7 2010 Cryptographic hash functions from expander graphs. Zbl 1166.94006 Charles, Denis X.; Lauter, Kristin E.; Goren, Eyal Z. 129 2009 A CRT algorithm for constructing genus 2 curves over finite fields. Zbl 1270.11060 Eisenträger, Kirsten; Lauter, Kristin 17 2009 Families of Ramanujan graphs and quaternion algebras. Zbl 1250.05057 Charles, Denis X.; Goren, Eyal Z.; Lauter, Kristin E. 12 2009 Modular polynomials for genus 2. Zbl 1252.11051 Bröker, Reinier; Lauter, Kristin 10 2009 Signatures for network coding. Zbl 1207.94050 Charles, Denis; Jain, Kamal; Lauter, Kristin 7 2009 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 Explicit Heegner points: Kolyvagin’s conjecture and non-trivial elements in the Shafarevich-Tate group. Zbl 1228.11082 Jetchev, Dimitar; Lauter, Kristin; Stein, William 4 2009 The distance between superspecial abelian varieties with real multiplication. Zbl 1203.14047 Goren, Eyal Z.; Lauter, Kristin E. 2 2009 Computing Hilbert class polynomials. Zbl 1205.11139 Belding, Juliana; Bröker, Reinier; Enge, Andreas; Lauter, Kristin 19 2008 Full cryptanalysis of LPS and Morgenstern hash functions. Zbl 1180.68155 Petit, Christophe; Lauter, Kristin; Quisquater, Jean-Jacques 16 2008 Evaluating large degree isogenies and applications to pairing based cryptography. Zbl 1186.94428 Bröker, Reinier; Charles, Denis; Lauter, Kristin 10 2008 Computing endomorphism rings of Jacobians of genus 2 curves over finite fields. Zbl 1151.14314 Freeman, David; Lauter, Kristin 8 2008 Computing the Cassels pairing on Kolyvagin classes in the Shafarevich-Tate group. Zbl 1186.94436 Eisenträger, Kirsten; Jetchev, Dimitar; Lauter, Kristin 1 2008 Computational arithmetic geometry. AMS special session, San Francisco, CA, USA, April 29–30, 2006. Zbl 1143.11002 1 2008 Stronger security of authenticated key exchange. Zbl 1138.94381 LaMacchia, Brian; Lauter, Kristin; Mityagin, Anton 96 2007 Class invariants for quartic CM fields. Zbl 1172.11018 Goren, Eyal Z.; Lauter, Kristin E. 20 2007 Corrigendum to: “Improved upper bounds for the number of points on curves over finite fields”. Zbl 1248.11043 Howe, Everett W.; Lauter, Kristin E. 5 2007 Trading inversions for multiplications in elliptic curve cryptography. Zbl 1116.14026 Ciet, Mathieu; Joye, Marc; Lauter, Kristin; Montgomery, Peter L. 22 2006 Security analysis of KEA authenticated key exchange protocol. Zbl 1151.94532 Lauter, Kristin; Mityagin, Anton 16 2006 Evil primes and superspecial moduli. Zbl 1124.14042 Goren, Eyal Z.; Lauter, Kristin E. 3 2006 Pointless curves of genus three and four. Zbl 1116.14010 Howe, Everett W.; Lauter, Kristin E.; Top, Jaap 8 2005 Computing modular polynomials. Zbl 1119.11030 Charles, Denis; Lauter, Kristin 7 2005 Constructing elliptic curves with a known number of points over a prime field. Zbl 1102.11031 Agashe, Amod; Lauter, Kristin; Venkatesan, Ramarathnam 6 2004 Improved Weil and Tate pairings for elliptic and hyperelliptic curves. Zbl 1116.11042 Eisenträger, Kirsten; Lauter, Kristin; Montgomery, Peter L. 3 2004 Fast elliptic curve arithmetic and improved Weil pairing evaluation. Zbl 1038.11079 Eisenträger, Kirsten; Lauter, Kristin; Montgomery, Peter L. 15 2003 Improved upper bounds for the number of points on curves over finite fields. Zbl 1065.11043 Howe, Everett W.; Lauter, Kristin E. 10 2003 The maximum number of points on a curve of genus 4 over \({\mathbb F}_ 8\) is 25. With an appendix by Kristin Lauter. Zbl 1101.14026 Savitt, David 5 2003 The equivalence of the geometric and algebraic group laws for Jacobians of genus 2 curves. Zbl 1051.14035 Lauter, Kristin E. 1 2003 The maximum or minimum number of rational points on genus three curves over finite fields. Zbl 1031.11038 Lauter, Kristin; Serre, Jean-Pierre 19 2002 Geometric methods for improving the upper bounds on the number of rational points on algebraic curves over finite fields. Appendice by J. -P. Serre. Zbl 0982.14015 Lauter, Kristin 25 2001 Non-existence of a curve over \(\mathbb F_3\) of genus 5 with 14 rational points. Zbl 0983.11036 Lauter, Kristin 5 2000 Zeta functions of curves over finite fields with many rational points. Zbl 1009.11049 Lauter, Kristin 4 2000 Deligne-Lusztig curves as ray class fields. Zbl 0919.11076 Lauter, Kristin 8 1999 A formula for constructing curves over finite fields with many rational points. Zbl 1044.11054 Lauter, Kristin 3 1999 Improved upper bounds for the number of rational points on algebraic curves over finite fields. Zbl 0948.11024 Lauter, Kristin 3 1999 Ray class field constructions of curves over finite fields with many rational points. Zbl 0935.11022 Lauter, Kristin 3 1996 all cited Publications top 5 cited Publications all top 5 Cited by 1,135 Authors 38 Lauter, Kristin Estella 24 Petit, Christophe 15 De Feo, Luca 12 Sutherland, Andrew V. 11 Castryck, Wouter 11 Wesolowski, Benjamin 10 Fouotsa, Tako Boris 10 Kutas, Péter 10 Stebila, Douglas 10 Vercauteren, Frederik 9 Costello, Craig 9 Galbraith, Steven D. 9 Ionica, Sorina 9 Jao, David 9 Lorenzo García, Elisa 9 Pan, Jiaxin 9 Panny, Lorenz 9 Ritzenthaler, Christophe 9 Robert, Damien 9 Streng, Marco 8 Howe, Everett W. 8 Leroux, Antonin 8 Martindale, Chloe 8 Stange, Katherine E. 7 Sarkar, Palash 7 Smith, Benjamin Andrew 7 Yasuda, Masaya 7 Yoneyama, Kazuki 6 Azarderakhsh, Reza 6 Basso, Andrea 6 Boyd, Colin A. 6 Bröker, Reinier 6 Jager, Tibor 6 Naehrig, Michael 6 Takagi, Tsuyoshi 6 Takashima, Katsuyuki 6 Yang, Tonghai 5 Arpin, Sarah 5 Cheon, Jung Hee 5 Decru, Thomas 5 Gu, Dawu 5 Günther, Felix 5 Iliashenko, Ilia 5 Kılıçer, Pınar 5 Menezes, Alfred J. 5 Merz, Simon-Philipp 5 Scholl, Travis 5 Sijsling, Jeroen 5 Song, Yongsoo 5 Vincent, Christelle 5 Xiao, Guanju 5 Zhandry, Mark 4 Alawatugoda, Janaka 4 Biasse, Jean-François 4 Boneh, Dan 4 Cremers, Cas J. F. 4 Deng, Yingpu 4 Enge, Andreas 4 Fujioka, Atsushi 4 Gjøsteen, Kristian 4 González Nieto, Juan Manuel 4 Hisil, Huseyin 4 Kohel, David R. 4 Kudo, Momonari 4 Lange, Tanja 4 LeGrow, Jason Travis 4 Lercier, Reynald 4 Luo, Lixia 4 Marseglia, Stefano 4 Miret, Josep M. 4 Moody, Dustin 4 Morrison, Travis 4 Mu, Yi 4 Onuki, Hiroshi 4 Pedersen, Robi 4 Rodríguez-Henríquez, Francisco 4 Schäge, Sven 4 Scheidler, Renate 4 Shaska, Tanush 4 Silva, Javier 4 Tsyganov, Andreĭ Vladimirovich 4 Ustaoglu, Berkant 4 Van der Geer, Gerard 4 Yang, Guomin 4 Yokoyama, Kazuhiro 4 Zaytsev, Alexey 4 Zhang, Fangguo 3 Albrecht, Martin R. 3 Bajard, Jean-Claude 3 Barreto, Paulo S. L. M. 3 Bernstein, Daniel Julius 3 Bisson, Gaetan 3 Blanco-Chacón, Iván 3 Bruinier, Jan Hendrik 3 Carpov, Sergiu 3 Chen, Hao 3 Chen, Mingjie 3 Dartois, Pierrick 3 Doröz, Yarkın 3 Dowling, Benjamin ...and 1,035 more Authors all top 5 Cited in 122 Serials 30 Journal of Number Theory 26 Finite Fields and their Applications 21 Journal of Mathematical Cryptology 20 Mathematics of Computation 20 Designs, Codes and Cryptography 19 Journal of Cryptology 14 Research in Number Theory 13 LMS Journal of Computation and Mathematics 12 Advances in Mathematics of Communications 10 Information Sciences 9 Quantum Information Processing 6 Applied Mathematics and Computation 6 Transactions of the American Mathematical Society 6 Experimental Mathematics 6 International Journal of Number Theory 5 Annales de l’Institut Fourier 5 Proceedings of the American Mathematical Society 4 Information Processing Letters 4 Acta Arithmetica 4 Compositio Mathematica 4 Mathematische Zeitschrift 4 Applicable Algebra in Engineering, Communication and Computing 4 The Ramanujan Journal 4 La Matematica 3 Functiones et Approximatio. Commentarii Mathematici 3 Journal of Algebra 3 Theoretical Computer Science 3 Journal of Symbolic Computation 3 Information and Computation 3 Journal de Théorie des Nombres de Bordeaux 3 Algebra & Number Theory 3 JSIAM Letters 3 SIAM Journal on Applied Algebra and Geometry 3 Prikladnaya Diskretnaya Matematika 3 Matematicheskie Voprosy Kriptografii 2 Communications in Algebra 2 Journal of Geometry and Physics 2 Advances in Mathematics 2 Archiv der Mathematik 2 Bulletin of the London Mathematical Society 2 Manuscripta Mathematica 2 Monatshefte für Mathematik 2 Pacific Journal of Mathematics 2 International Journal of Foundations of Computer Science 2 Mathematical Problems in Engineering 2 Journal of Discrete Mathematical Sciences & Cryptography 2 Journal of High Energy Physics 2 Journal of Algebra and its Applications 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Albanian Journal of Mathematics 2 Cryptography and Communications 2 Science China. Information Sciences 2 Frontiers of Computer Science 1 Computers & Mathematics with Applications 1 Communications on Pure and Applied Mathematics 1 Discrete Applied Mathematics 1 Electronics Letters 1 IEEE Transactions on Information Theory 1 Israel Journal of Mathematics 1 Linear and Multilinear Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematische Semesterberichte 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Computer and System Sciences 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 SIAM Journal on Computing 1 Combinatorica 1 Chinese Annals of Mathematics. Series B 1 Algorithmica 1 Mathematical and Computer Modelling 1 SIAM Journal on Discrete Mathematics 1 Forum Mathematicum 1 Machine Learning 1 Japan Journal of Industrial and Applied Mathematics 1 L’Enseignement Mathématique. 2e Série 1 Indagationes Mathematicae. New Series 1 Journal of Mathematical Sciences (New York) 1 Selecta Mathematica. New Series 1 Advances in Computational Mathematics 1 Documenta Mathematica 1 European Journal of Control 1 Soft Computing 1 Annals of Mathematics. Second Series 1 Interdisciplinary Information Sciences (IIS) 1 Regular and Chaotic Dynamics 1 Communications in Contemporary Mathematics 1 Lobachevskii Journal of Mathematics 1 Advances in Geometry 1 Foundations of Computational Mathematics 1 Journal of the Australian Mathematical Society ...and 22 more Serials all top 5 Cited in 28 Fields 424 Information and communication theory, circuits (94-XX) 297 Number theory (11-XX) 272 Algebraic geometry (14-XX) 111 Computer science (68-XX) 91 Quantum theory (81-XX) 30 Combinatorics (05-XX) 10 Group theory and generalizations (20-XX) 7 Commutative algebra (13-XX) 7 Associative rings and algebras (16-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 History and biography (01-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Field theory and polynomials (12-XX) 3 Mechanics of particles and systems (70-XX) 2 \(K\)-theory (19-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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