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Eisenträger, Kirsten

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Author ID: eisentrager.kirsten Recent zbMATH articles by "Eisenträger, Kirsten"
Published as: Eisenträger, Kirsten
Documents Indexed: 25 Publications since 2003

Publications by Year

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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 1270.11060
Eisenträger, Kirsten; Lauter, Kristin
13
2009
Hilbert’s tenth problem for algebraic function fields of characteristic 2. Zbl 1057.11067
Eisenträger, Kirsten
10
2003
Fast elliptic curve arithmetic and improved Weil pairing evaluation. Zbl 1038.11079
Eisenträger, Kirsten; Lauter, Kristin; Montgomery, Peter L.
10
2003
Descent on elliptic curves and Hilbert’s tenth problem. Zbl 1267.11120
Eisenträger, Kirsten; Everest, Graham
9
2009
Weak instances of PLWE. Zbl 1336.94045
Eisenträger, Kirsten; Hallgren, Sean; Lauter, Kristin
7
2014
Hilbert’s Tenth problem for function fields of varieties over number fields and \(p\)-adic fields. Zbl 1152.11050
Eisenträger, Kirsten
7
2007
Hilbert’s tenth problem for function fields of varieties over \(\mathbb{C}\). Zbl 1109.11061
Eisenträger, Kirsten
7
2004
A quantum algorithm for computing the unit group of an arbitrary degree number field. Zbl 1315.68134
Eisenträger, Kirsten; Hallgren, Sean; Kitaev, Alexei; Song, Fang
6
2014
Undecidability in function fields of positive characteristic. Zbl 1242.11100
Eisenträger, Kirsten; Shlapentokh, Alexandra
5
2009
Supersingular isogeny graphs and endomorphism rings: reductions and solutions. Zbl 1415.94426
Eisenträger, 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 1294.11088
Eisenträger, 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 1427.11142
Eisenträger, Kirsten; Miller, Russell; Park, Jennifer; Shlapentokh, Alexandra
3
2017
Improved Weil and Tate pairings for elliptic and hyperelliptic curves. Zbl 1116.11042
Eisenträger, Kirsten; Lauter, Kristin; Montgomery, Peter L.
3
2004
The work of Kim and Roush on questions of decidability in algebra and number theory. Zbl 1318.11163
Eisenträger, Kirsten
2
2013
Hilbert’s tenth problem for function fields of varieties over algebraically closed fields of positive characteristic. Zbl 1270.11126
Eisenträger, Kirsten
2
2012
Pairings on hyperelliptic curves. Zbl 1214.14021
Balakrishnan, Jennifer; Belding, Juliana; Chisholm, Sarah; Eisenträger, Kirsten; Stange, Katherine E.; Teske, Edlyn
2
2011
Universally and existentially definable subsets of global fields. Zbl 07020777
Eisenträger, 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 1416.11171
Eisenträger, Kirsten; Shlapentokh, Alexandra
1
2017
Algorithms for ray class groups and Hilbert class fields. Zbl 1288.68070
Eisenträger, Kirsten; Hallgren, Sean
1
2010
Computing the Cassels pairing on Kolyvagin classes in the Shafarevich-Tate group. Zbl 1186.94436
Eisenträger, 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 1137.11358
Eisenträger, Kirsten
1
2005
Supersingular isogeny graphs and endomorphism rings: reductions and solutions. Zbl 1415.94426
Eisenträger, Kirsten; Hallgren, Sean; Lauter, Kristin; Morrison, Travis; Petit, Christophe
4
2018
Universally and existentially definable subsets of global fields. Zbl 07020777
Eisenträger, Kirsten; Morrison, Travis
1
2018
As easy as \(\mathbb {Q}\): Hilbert’s tenth problem for subrings of the rationals and number fields. Zbl 1427.11142
Eisenträger, 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 1416.11171
Eisenträger, Kirsten; Shlapentokh, Alexandra
1
2017
Weak instances of PLWE. Zbl 1336.94045
Eisenträger, Kirsten; Hallgren, Sean; Lauter, Kristin
7
2014
A quantum algorithm for computing the unit group of an arbitrary degree number field. Zbl 1315.68134
Eisenträger, 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 1318.11163
Eisenträger, Kirsten
2
2013
Hilbert’s tenth problem for function fields of varieties over algebraically closed fields of positive characteristic. Zbl 1270.11126
Eisenträger, Kirsten
2
2012
Hilbert’s tenth problem and Mazur’s conjectures in complementary subrings of number fields. Zbl 1294.11088
Eisenträger, Kirsten; Everest, Graham; Shlapentokh, Alexandra
4
2011
Pairings on hyperelliptic curves. Zbl 1214.14021
Balakrishnan, Jennifer; Belding, Juliana; Chisholm, Sarah; Eisenträger, Kirsten; Stange, Katherine E.; Teske, Edlyn
2
2011
Algorithms for ray class groups and Hilbert class fields. Zbl 1288.68070
Eisenträger, Kirsten; Hallgren, Sean
1
2010
A CRT algorithm for constructing genus 2 curves over finite fields. Zbl 1270.11060
Eisenträger, Kirsten; Lauter, Kristin
13
2009
Descent on elliptic curves and Hilbert’s tenth problem. Zbl 1267.11120
Eisenträger, Kirsten; Everest, Graham
9
2009
Undecidability in function fields of positive characteristic. Zbl 1242.11100
Eisenträger, Kirsten; Shlapentokh, Alexandra
5
2009
Computing the Cassels pairing on Kolyvagin classes in the Shafarevich-Tate group. Zbl 1186.94436
Eisenträger, Kirsten; Jetchev, Dimitar; Lauter, Kristin
1
2008
Hilbert’s Tenth problem for function fields of varieties over number fields and \(p\)-adic fields. Zbl 1152.11050
Eisenträger, Kirsten
7
2007
Integrality at a prime for global fields and the perfect closure of global fields of characteristic \(p > 2\). Zbl 1137.11358
Eisenträger, Kirsten
1
2005
Hilbert’s tenth problem for function fields of varieties over \(\mathbb{C}\). Zbl 1109.11061
Eisenträger, Kirsten
7
2004
Improved Weil and Tate pairings for elliptic and hyperelliptic curves. Zbl 1116.11042
Eisenträger, Kirsten; Lauter, Kristin; Montgomery, Peter L.
3
2004
Hilbert’s tenth problem for algebraic function fields of characteristic 2. Zbl 1057.11067
Eisenträger, Kirsten
10
2003
Fast elliptic curve arithmetic and improved Weil pairing evaluation. Zbl 1038.11079
Eisenträger, Kirsten; Lauter, Kristin; Montgomery, Peter L.
10
2003
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

Citations by Year