Edit Profile Eisenträger, Kirsten Compute Distance To: Compute Author ID: eisentrager.kirsten Published as: Eisenträger, Kirsten Documents Indexed: 25 Publications since 2003 all top 5 Co-Authors 8 single-authored 6 Lauter, Kristin Estella 5 Hallgren, Sean 4 Shlapentokh, Alexandra 3 Morrison, Travis 2 Everest, Graham Robert 2 Montgomery, Peter L. 2 Park, Jennifer 1 Balakrishnan, Jennifer S. 1 Bank, Efrat 1 Belding, Juliana V. 1 Camacho-Navarro, Catalina 1 Chisholm, Sarah 1 Jetchev, Dimitar P. 1 Kitaev, Alexei Yu. 1 Miller, Russell G. 1 Petit, Christophe 1 Song, Fang 1 Stange, Katherine E. 1 Teske, Edlyn all top 5 Serials 2 IMRN. International Mathematics Research Notices 2 Mathematical Research Letters 1 Journal of Algebra 1 Journal of Number Theory 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Journal of the European Mathematical Society (JEMS) all top 5 Fields 23 Number theory (11-XX) 12 Mathematical logic and foundations (03-XX) 8 Algebraic geometry (14-XX) 7 Information and communication theory, circuits (94-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 21 Publications have been cited 99 times in 76 Documents Cited by ▼ Year ▼ A CRT algorithm for constructing genus 2 curves over finite fields. Zbl 1270.11060Eisenträger, Kirsten; Lauter, Kristin 13 2009 Hilbert’s tenth problem for algebraic function fields of characteristic 2. Zbl 1057.11067Eisenträger, Kirsten 10 2003 Fast elliptic curve arithmetic and improved Weil pairing evaluation. Zbl 1038.11079Eisenträger, Kirsten; Lauter, Kristin; Montgomery, Peter L. 10 2003 Descent on elliptic curves and Hilbert’s tenth problem. Zbl 1267.11120Eisenträger, Kirsten; Everest, Graham 9 2009 Weak instances of PLWE. Zbl 1336.94045Eisenträger, Kirsten; Hallgren, Sean; Lauter, Kristin 7 2014 Hilbert’s Tenth problem for function fields of varieties over number fields and \(p\)-adic fields. Zbl 1152.11050Eisenträger, Kirsten 7 2007 Hilbert’s tenth problem for function fields of varieties over \(\mathbb{C}\). Zbl 1109.11061Eisenträger, Kirsten 7 2004 A quantum algorithm for computing the unit group of an arbitrary degree number field. Zbl 1315.68134Eisenträger, Kirsten; Hallgren, Sean; Kitaev, Alexei; Song, Fang 6 2014 Undecidability in function fields of positive characteristic. Zbl 1242.11100Eisenträger, Kirsten; Shlapentokh, Alexandra 5 2009 Supersingular isogeny graphs and endomorphism rings: reductions and solutions. Zbl 1415.94426Eisenträger, Kirsten; Hallgren, Sean; Lauter, Kristin; Morrison, Travis; Petit, Christophe 4 2018 Hilbert’s tenth problem and Mazur’s conjectures in complementary subrings of number fields. Zbl 1294.11088Eisenträger, Kirsten; Everest, Graham; Shlapentokh, Alexandra 4 2011 As easy as \(\mathbb {Q}\): Hilbert’s tenth problem for subrings of the rationals and number fields. Zbl 1427.11142Eisenträger, Kirsten; Miller, Russell; Park, Jennifer; Shlapentokh, Alexandra 3 2017 Improved Weil and Tate pairings for elliptic and hyperelliptic curves. Zbl 1116.11042Eisenträger, Kirsten; Lauter, Kristin; Montgomery, Peter L. 3 2004 The work of Kim and Roush on questions of decidability in algebra and number theory. Zbl 1318.11163Eisenträger, Kirsten 2 2013 Hilbert’s tenth problem for function fields of varieties over algebraically closed fields of positive characteristic. Zbl 1270.11126Eisenträger, Kirsten 2 2012 Pairings on hyperelliptic curves. Zbl 1214.14021Balakrishnan, Jennifer; Belding, Juliana; Chisholm, Sarah; Eisenträger, Kirsten; Stange, Katherine E.; Teske, Edlyn 2 2011 Universally and existentially definable subsets of global fields. Zbl 07020777Eisenträger, Kirsten; Morrison, Travis 1 2018 Hilbert’s tenth problem over function fields of positive characteristic not containing the algebraic closure of a finite field. Zbl 1416.11171Eisenträger, Kirsten; Shlapentokh, Alexandra 1 2017 Algorithms for ray class groups and Hilbert class fields. Zbl 1288.68070Eisenträger, Kirsten; Hallgren, Sean 1 2010 Computing the Cassels pairing on Kolyvagin classes in the Shafarevich-Tate group. Zbl 1186.94436Eisenträger, Kirsten; Jetchev, Dimitar; Lauter, Kristin 1 2008 Integrality at a prime for global fields and the perfect closure of global fields of characteristic \(p > 2\). Zbl 1137.11358Eisenträger, Kirsten 1 2005 Supersingular isogeny graphs and endomorphism rings: reductions and solutions. Zbl 1415.94426Eisenträger, Kirsten; Hallgren, Sean; Lauter, Kristin; Morrison, Travis; Petit, Christophe 4 2018 Universally and existentially definable subsets of global fields. Zbl 07020777Eisenträger, Kirsten; Morrison, Travis 1 2018 As easy as \(\mathbb {Q}\): Hilbert’s tenth problem for subrings of the rationals and number fields. Zbl 1427.11142Eisenträger, Kirsten; Miller, Russell; Park, Jennifer; Shlapentokh, Alexandra 3 2017 Hilbert’s tenth problem over function fields of positive characteristic not containing the algebraic closure of a finite field. Zbl 1416.11171Eisenträger, Kirsten; Shlapentokh, Alexandra 1 2017 Weak instances of PLWE. Zbl 1336.94045Eisenträger, Kirsten; Hallgren, Sean; Lauter, Kristin 7 2014 A quantum algorithm for computing the unit group of an arbitrary degree number field. Zbl 1315.68134Eisenträger, Kirsten; Hallgren, Sean; Kitaev, Alexei; Song, Fang 6 2014 The work of Kim and Roush on questions of decidability in algebra and number theory. Zbl 1318.11163Eisenträger, Kirsten 2 2013 Hilbert’s tenth problem for function fields of varieties over algebraically closed fields of positive characteristic. Zbl 1270.11126Eisenträger, Kirsten 2 2012 Hilbert’s tenth problem and Mazur’s conjectures in complementary subrings of number fields. Zbl 1294.11088Eisenträger, Kirsten; Everest, Graham; Shlapentokh, Alexandra 4 2011 Pairings on hyperelliptic curves. Zbl 1214.14021Balakrishnan, Jennifer; Belding, Juliana; Chisholm, Sarah; Eisenträger, Kirsten; Stange, Katherine E.; Teske, Edlyn 2 2011 Algorithms for ray class groups and Hilbert class fields. Zbl 1288.68070Eisenträger, Kirsten; Hallgren, Sean 1 2010 A CRT algorithm for constructing genus 2 curves over finite fields. Zbl 1270.11060Eisenträger, Kirsten; Lauter, Kristin 13 2009 Descent on elliptic curves and Hilbert’s tenth problem. Zbl 1267.11120Eisenträger, Kirsten; Everest, Graham 9 2009 Undecidability in function fields of positive characteristic. Zbl 1242.11100Eisenträger, Kirsten; Shlapentokh, Alexandra 5 2009 Computing the Cassels pairing on Kolyvagin classes in the Shafarevich-Tate group. Zbl 1186.94436Eisenträger, Kirsten; Jetchev, Dimitar; Lauter, Kristin 1 2008 Hilbert’s Tenth problem for function fields of varieties over number fields and \(p\)-adic fields. Zbl 1152.11050Eisenträger, Kirsten 7 2007 Integrality at a prime for global fields and the perfect closure of global fields of characteristic \(p > 2\). Zbl 1137.11358Eisenträger, Kirsten 1 2005 Hilbert’s tenth problem for function fields of varieties over \(\mathbb{C}\). Zbl 1109.11061Eisenträger, Kirsten 7 2004 Improved Weil and Tate pairings for elliptic and hyperelliptic curves. Zbl 1116.11042Eisenträger, Kirsten; Lauter, Kristin; Montgomery, Peter L. 3 2004 Hilbert’s tenth problem for algebraic function fields of characteristic 2. Zbl 1057.11067Eisenträger, Kirsten 10 2003 Fast elliptic curve arithmetic and improved Weil pairing evaluation. Zbl 1038.11079Eisenträger, Kirsten; Lauter, Kristin; Montgomery, Peter L. 10 2003 all cited Publications top 5 cited Publications all top 5 Cited by 124 Authors 8 Lauter, Kristin Estella 8 Shlapentokh, Alexandra 7 Eisenträger, Kirsten 4 Streng, Marco 3 Galbraith, Steven D. 3 Hisil, Huseyin 3 Miller, Russell G. 3 Stange, Katherine E. 2 Carter, Gary 2 Costello, Craig 2 Dawson, Edward 2 Ducas, Léo 2 Ionica, Sorina 2 Jetchev, Dimitar P. 2 Khleborodov, Denis 2 Mahé, Valéry 2 Morrison, Travis 2 Park, Jennifer 2 Pasten, Hector V. 2 Poonen, Bjorn 2 Vercauteren, Frederik 2 Wesolowski, Benjamin 2 Wong, Kenneth Koon-Ho 1 Albrecht, Martin R. 1 Anand, R. Sai 1 Appleby, Marcus 1 Bai, Shi 1 Bank, Efrat 1 Bauch, Jens-Dietrich 1 Bernstein, Daniel Julius 1 Biasse, Jean-François 1 Bisson, Gaetan 1 Boneh, Dan 1 Bos, Joppe W. 1 Boyle, Mike 1 Bradford, Jeremy 1 Brooks, Ernest Hunter 1 Camacho-Navarro, Catalina 1 Castryck, Wouter 1 Chen, Hao 1 Chen, Teyu 1 Cho, Sungmin 1 Cramer, Ronald John Fitzgerald 1 de Valence, Henry 1 Demeyer, Jeroen 1 Dewal, M. L. 1 Dimitrov, Vassil S. 1 Ding, Jintai 1 Dittmann, Philip 1 Flammia, Steven T. 1 Glass, Darren B. 1 Gonzales, Alex Capuñay 1 Goren, Eyal Z. 1 Gu, Chunsheng 1 Gupta, Sangeeta 1 Harasawa, Ryuichi 1 Hayashida, Daiki 1 Hong, Seokhie 1 Horng, Gwoboa 1 Huang, Jiwu 1 Iliashenko, Ilia 1 Imbert, Laurent 1 Ingram, Patrick 1 Kang, Bo Gyeong 1 Kılıçer, Pınar 1 Kim, Taehyun 1 Koenigsmann, Jochen 1 Kramer, Kenneth B. 1 Krashen, Daniel 1 Kudo, Aichi 1 Kudo, Momonari 1 Lange, Tanja 1 Liu, Chao-Liang 1 Lorenzo García, Elisa 1 Lyubashevsky, Vadim 1 Mazur, Barry 1 McConnell, Gary 1 McGuire, Gary 1 Menezes, Alfred J. 1 Mishra, Pradeep Kumar 1 Moret-Bailly, Laurent 1 Mosca, Michele 1 Naehrig, Michael 1 O’Connor, Laura Hitt 1 Okumura, Shinya 1 Parent, Alex 1 Park, Je Hong 1 Park, Youngho 1 Peikert, Chris 1 Perlega, Stefan 1 Petit, Christophe 1 Pheidas, Thanases 1 Qi, Yanfeng 1 Reynolds, Jonathan 1 Rötteler, Martin 1 Rubin, Karl Cooper 1 Sakzad, Amin 1 Seo, Seog Chung 1 Shang, Ning 1 Sharif, Shahed ...and 24 more Authors all top 5 Cited in 37 Serials 9 Journal of Number Theory 4 Mathematics of Computation 3 Israel Journal of Mathematics 2 Information Processing Letters 2 Annales de l’Institut Fourier 2 Applied Mathematics and Computation 2 Inventiones Mathematicae 2 Monatshefte für Mathematik 2 Transactions of the American Mathematical Society 2 Acta Applicandae Mathematicae 2 Annals of Pure and Applied Logic 2 Journal of Cryptology 2 Japan Journal of Industrial and Applied Mathematics 2 Designs, Codes and Cryptography 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Mathematical Cryptology 1 Archiv der Mathematik 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Functiones et Approximatio. Commentarii Mathematici 1 Information Sciences 1 Journal of Algebra 1 Proceedings of the American Mathematical Society 1 Applicable Algebra in Engineering, Communication and Computing 1 Journal of Algebraic Geometry 1 Finite Fields and their Applications 1 Advances in Computational Mathematics 1 LMS Journal of Computation and Mathematics 1 Journal of the Australian Mathematical Society 1 Sādhanā 1 Quantum Information Processing 1 Foundations of Physics 1 Science in China. Series F 1 International Journal of Number Theory 1 Algebra & Number Theory 1 Research in Number Theory 1 SIAM Journal on Applied Algebra and Geometry all top 5 Cited in 11 Fields 51 Number theory (11-XX) 29 Information and communication theory, circuits (94-XX) 25 Algebraic geometry (14-XX) 16 Mathematical logic and foundations (03-XX) 9 Computer science (68-XX) 5 Field theory and polynomials (12-XX) 4 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) Citations by Year