## Howe, Everett W.

Compute Distance To:
 Author ID: howe.everett-w Published as: Howe, Everett W.; Howe, Everett External Links: ORCID
 Documents Indexed: 42 Publications since 1986 3 Contributions as Editor · 3 Further Contributions Reviewing Activity: 25 Reviews Co-Authors: 29 Co-Authors with 27 Joint Publications 826 Co-Co-Authors
all top 5

### Co-Authors

 20 single-authored 6 Lauter, Kristin Estella 5 Ritzenthaler, Christophe 3 Nart, Enric 3 Poonen, Bjorn 2 Achter, Jeffrey D. 2 Elkies, Noam David 2 Guralnick, Robert Michael 2 Kedlaya, Kiran Sridhara 2 Leprévost, Franck 2 Maisner, Daniel 2 Zieve, Michael E. 1 Aubry, Yves 1 Barg, Alexander M. 1 Bassa, Alp 1 Bröker, Reinier 1 Coleman, Robert Frederick 1 Dimitrov, Vassil S. 1 DiPippo, Stephen A. 1 Harashita, Shushi 1 Haymaker, Kathryn 1 Kresch, Andrew 1 Kudo, Momonari 1 Lorenzo García, Elisa 1 Matthews, Gretchen L. 1 McMurdy, Ken 1 Oesterlé, Joseph 1 Scheidler, Renate 1 Schoof, René 1 Serre, Jean-Pierre 1 Stevenhagen, Peter 1 Top, Jaap 1 Várilly-Alvarado, Anthony 1 Walker, Judy L. 1 Weir, Colin 1 Wetherell, Joseph L. 1 Zhu, Hui June
all top 5

### Serials

 5 Journal of Number Theory 3 Annales de l’Institut Fourier 3 Proceedings of the American Mathematical Society 2 Compositio Mathematica 2 Algebra & Number Theory 1 American Mathematical Monthly 1 Mathematics of Computation 1 Bulletin of the London Mathematical Society 1 Duke Mathematical Journal 1 Journal of Algebra 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Transactions of the American Mathematical Society 1 Forum Mathematicum 1 IMRN. International Mathematics Research Notices 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Experimental Mathematics 1 Journal of Algebraic Geometry 1 Finite Fields and their Applications 1 Mathematical Research Letters 1 LMS Journal of Computation and Mathematics 1 Contemporary Mathematics 1 Documents Mathématiques 1 The Open Book Series 1 Research in Number Theory 1 Association for Women in Mathematics Series

### Fields

 42 Algebraic geometry (14-XX) 40 Number theory (11-XX) 3 General and overarching topics; collections (00-XX) 2 Information and communication theory, circuits (94-XX) 1 Commutative algebra (13-XX)

### Citations contained in zbMATH Open

39 Publications have been cited 291 times in 194 Documents Cited by Year
Large torsion subgroups of split Jacobians of curves of genus two or three. Zbl 0983.11037
Howe, Everett W.; Leprévost, Franck; Poonen, Bjorn
2000
Abelian surfaces over finite fields as Jacobians. With an appendix by Everett W. Howe. Zbl 1101.14056
Maisner, Daniel; Nart, Enric
2002
Principally polarized ordinary abelian varieties over finite fields. Zbl 0859.14016
Howe, Everett W.
1995
Real polynomials with all roots on the unit circle and abelian varieties over finite fields. Zbl 0931.11023
DiPippo, Stephen A.; Howe, Everett W.
1998
On the existence of absolutely simple abelian varieties of a given dimension over an arbitrary field. Zbl 0998.11031
Howe, Everett W.; Zhu, Hui June
2002
On the group orders of elliptic curves over finite fields. Zbl 0793.14023
Howe, Everett W.
1993
Jacobians in isogeny classes of abelian surfaces over finite fields. Zbl 1236.11058
Howe, Everett W.; Nart, Enric; Ritzenthaler, Christophe
2009
The Weil pairing and the Hilbert symbol. Zbl 0854.11031
Howe, Everett W.
1996
Stable reduction of $$X_0(p^3)$$. With an Appendix by Everett W. Howe. Zbl 1215.11060
McMurdy, Ken; Coleman, Robert
2010
Isogeny classes of abelian varieties with no principal polarizations. Zbl 1079.14531
Howe, Everett W.
2001
Improved upper bounds for the number of points on curves over finite fields. Zbl 1065.11043
Howe, Everett W.; Lauter, Kristin E.
2003
New methods for bounding the number of points on curves over finite fields. Zbl 1317.11065
Howe, Everett W.; Lauter, Kristin E.
2012
Curves of every genus with many points. II: Asymptotically good families. Zbl 1072.11041
Elkies, Noam D.; Howe, Everett W.; Kresch, Andrew; Poonen, Bjorn; Wetherell, Joseph L.; Zieve, Michael E.
2004
Lower bounds on the lengths of double-base representations. Zbl 1263.11086
Dimitrov, Vassil S.; Howe, Everett W.
2011
Pointless curves of genus three and four. Zbl 1116.14010
Howe, Everett W.; Lauter, Kristin E.; Top, Jaap
2005
Genus-2 curves and Jacobians with a given number of points. Zbl 1387.14086
Bröker, Reinier; Howe, Everett W.; Lauter, Kristin E.; Stevenhagen, Peter
2015
Hasse-Witt and Cartier-Manin matrices: a warning and a request. Zbl 1439.11145
Achter, Jeffrey D.; Howe, Everett W.
2019
Constructing distinct curves with isomorphic Jacobians. Zbl 0842.14019
Howe, Everett W.
1996
Plane quartics with Jacobians isomorphic to a hyperelliptic Jacobian. Zbl 0974.14021
Howe, Everett W.
2001
Locally recoverable codes from algebraic curves and surfaces. Zbl 1410.94123
Barg, Alexander; Haymaker, Kathryn; Howe, Everett W.; Matthews, Gretchen L.; Várilly-Alvarado, Anthony
2017
Corrigendum to: “Improved upper bounds for the number of points on curves over finite fields”. Zbl 1248.11043
Howe, Everett W.; Lauter, Kristin E.
2007
A new proof of Erdős’s theorem on monotone multiplicative functions. Zbl 0614.10001
Howe, Everett
1986
Split abelian surfaces over finite fields and reductions of genus-2 curves. Zbl 1357.14059
Achter, Jeffrey D.; Howe, Everett W.
2017
Quickly constructing curves of genus 4 with many points. Zbl 1417.11122
Howe, Everett W.
2016
Genus-2 Jacobians with torsion points of large order. Zbl 1319.14030
Howe, Everett W.
2015
Infinite families of pairs of curves over $$\mathbb{Q}$$ with isomorphic Jacobians. Zbl 1093.14041
Howe, Everett W.
2005
New bounds on the maximum number of points on genus-4 curves over small finite fields. Zbl 1317.11064
Howe, Everett W.
2012
Genus bounds for curves with fixed Frobenius eigenvalues. Zbl 1286.14035
Elkies, Noam D.; Howe, Everett W.; Ritzenthaler, Christophe
2014
Principally polarizable isogeny classes of Abelian surfaces over finite fields. Zbl 1145.11045
Howe, Everett W.; Maisner, Daniel; Nart, Enric; Ritzenthaler, Christophe
2008
Higher-order Carmichael numbers. Zbl 0966.11006
Howe, Everett W.
2000
Supersingular genus-2 curves over fields of characteristic 3. Zbl 1166.11020
Howe, Everett W.
2008
Nonisomorphic curves that become isomorphic over extensions of coprime degrees. Zbl 1160.14020
Goldstein, Daniel; Guralnick, Robert M.; Howe, Everett W.; Zieve, Michael E.
2008
Constructing and tabulating dihedral function fields. Zbl 1345.11079
Weir, Colin; Scheidler, Renate; Howe, Everett W.
2013
On the non-existence of certain curves of genus two. Zbl 1067.11035
Howe, Everett W.
2004
Kernels of polarizations of abelian varieties over finite fields. Zbl 0911.11031
Howe, Everett W.
1996
Large torsion subgroups of split Jacobians of curves of genus 2. (Sous-groupes de torsion d’ordres élevés de jacobiennes décomposables de courbes de genre 2.) Zbl 0895.11027
Howe, Everett W.; Leprévost, Franck; Poonen, Bjorn
1996
Rational points on curves over finite fields. With contributions by Everett Howe, Joseph Oesterlé and Christophe Ritzenthaler. Edited by Alp Bassa, Elisa Lorenzo García, Christophe Ritzenthaler and René Schoof. Zbl 1475.11002
Serre, Jean-Pierre
2020
Curves of medium genus with many points. Zbl 1409.11048
Howe, Everett W.
2017
Constructing distinct curves with isomorphic Jacobians in characteristic zero. Zbl 0832.14019
Howe, Everett W.
1995
Rational points on curves over finite fields. With contributions by Everett Howe, Joseph Oesterlé and Christophe Ritzenthaler. Edited by Alp Bassa, Elisa Lorenzo García, Christophe Ritzenthaler and René Schoof. Zbl 1475.11002
Serre, Jean-Pierre
2020
Hasse-Witt and Cartier-Manin matrices: a warning and a request. Zbl 1439.11145
Achter, Jeffrey D.; Howe, Everett W.
2019
Locally recoverable codes from algebraic curves and surfaces. Zbl 1410.94123
Barg, Alexander; Haymaker, Kathryn; Howe, Everett W.; Matthews, Gretchen L.; Várilly-Alvarado, Anthony
2017
Split abelian surfaces over finite fields and reductions of genus-2 curves. Zbl 1357.14059
Achter, Jeffrey D.; Howe, Everett W.
2017
Curves of medium genus with many points. Zbl 1409.11048
Howe, Everett W.
2017
Quickly constructing curves of genus 4 with many points. Zbl 1417.11122
Howe, Everett W.
2016
Genus-2 curves and Jacobians with a given number of points. Zbl 1387.14086
Bröker, Reinier; Howe, Everett W.; Lauter, Kristin E.; Stevenhagen, Peter
2015
Genus-2 Jacobians with torsion points of large order. Zbl 1319.14030
Howe, Everett W.
2015
Genus bounds for curves with fixed Frobenius eigenvalues. Zbl 1286.14035
Elkies, Noam D.; Howe, Everett W.; Ritzenthaler, Christophe
2014
Constructing and tabulating dihedral function fields. Zbl 1345.11079
Weir, Colin; Scheidler, Renate; Howe, Everett W.
2013
New methods for bounding the number of points on curves over finite fields. Zbl 1317.11065
Howe, Everett W.; Lauter, Kristin E.
2012
New bounds on the maximum number of points on genus-4 curves over small finite fields. Zbl 1317.11064
Howe, Everett W.
2012
Lower bounds on the lengths of double-base representations. Zbl 1263.11086
Dimitrov, Vassil S.; Howe, Everett W.
2011
Stable reduction of $$X_0(p^3)$$. With an Appendix by Everett W. Howe. Zbl 1215.11060
McMurdy, Ken; Coleman, Robert
2010
Jacobians in isogeny classes of abelian surfaces over finite fields. Zbl 1236.11058
Howe, Everett W.; Nart, Enric; Ritzenthaler, Christophe
2009
Principally polarizable isogeny classes of Abelian surfaces over finite fields. Zbl 1145.11045
Howe, Everett W.; Maisner, Daniel; Nart, Enric; Ritzenthaler, Christophe
2008
Supersingular genus-2 curves over fields of characteristic 3. Zbl 1166.11020
Howe, Everett W.
2008
Nonisomorphic curves that become isomorphic over extensions of coprime degrees. Zbl 1160.14020
Goldstein, Daniel; Guralnick, Robert M.; Howe, Everett W.; Zieve, Michael E.
2008
Corrigendum to: “Improved upper bounds for the number of points on curves over finite fields”. Zbl 1248.11043
Howe, Everett W.; Lauter, Kristin E.
2007
Pointless curves of genus three and four. Zbl 1116.14010
Howe, Everett W.; Lauter, Kristin E.; Top, Jaap
2005
Infinite families of pairs of curves over $$\mathbb{Q}$$ with isomorphic Jacobians. Zbl 1093.14041
Howe, Everett W.
2005
Curves of every genus with many points. II: Asymptotically good families. Zbl 1072.11041
Elkies, Noam D.; Howe, Everett W.; Kresch, Andrew; Poonen, Bjorn; Wetherell, Joseph L.; Zieve, Michael E.
2004
On the non-existence of certain curves of genus two. Zbl 1067.11035
Howe, Everett W.
2004
Improved upper bounds for the number of points on curves over finite fields. Zbl 1065.11043
Howe, Everett W.; Lauter, Kristin E.
2003
Abelian surfaces over finite fields as Jacobians. With an appendix by Everett W. Howe. Zbl 1101.14056
Maisner, Daniel; Nart, Enric
2002
On the existence of absolutely simple abelian varieties of a given dimension over an arbitrary field. Zbl 0998.11031
Howe, Everett W.; Zhu, Hui June
2002
Isogeny classes of abelian varieties with no principal polarizations. Zbl 1079.14531
Howe, Everett W.
2001
Plane quartics with Jacobians isomorphic to a hyperelliptic Jacobian. Zbl 0974.14021
Howe, Everett W.
2001
Large torsion subgroups of split Jacobians of curves of genus two or three. Zbl 0983.11037
Howe, Everett W.; Leprévost, Franck; Poonen, Bjorn
2000
Higher-order Carmichael numbers. Zbl 0966.11006
Howe, Everett W.
2000
Real polynomials with all roots on the unit circle and abelian varieties over finite fields. Zbl 0931.11023
DiPippo, Stephen A.; Howe, Everett W.
1998
The Weil pairing and the Hilbert symbol. Zbl 0854.11031
Howe, Everett W.
1996
Constructing distinct curves with isomorphic Jacobians. Zbl 0842.14019
Howe, Everett W.
1996
Kernels of polarizations of abelian varieties over finite fields. Zbl 0911.11031
Howe, Everett W.
1996
Large torsion subgroups of split Jacobians of curves of genus 2. (Sous-groupes de torsion d’ordres élevés de jacobiennes décomposables de courbes de genre 2.) Zbl 0895.11027
Howe, Everett W.; Leprévost, Franck; Poonen, Bjorn
1996
Principally polarized ordinary abelian varieties over finite fields. Zbl 0859.14016
Howe, Everett W.
1995
Constructing distinct curves with isomorphic Jacobians in characteristic zero. Zbl 0832.14019
Howe, Everett W.
1995
On the group orders of elliptic curves over finite fields. Zbl 0793.14023
Howe, Everett W.
1993
A new proof of Erdős’s theorem on monotone multiplicative functions. Zbl 0614.10001
Howe, Everett
1986
all top 5

### Cited by 253 Authors

 17 Howe, Everett W. 6 Ritzenthaler, Christophe 6 Shaska, Tanush 4 Giangreco-Maidana, Alejandro José 4 Lauter, Kristin Estella 4 Marseglia, Stefano 4 Top, Jaap 3 Aubry, Yves 3 Fëdorov, Gleb Vladimirovich 3 Jones, Lenny K. 3 Karemaker, Valentijn 3 Nart, Enric 3 Petrunin, Maksim Maksimovich 3 Platonov, Vladimir Petrovich 3 Shparlinski, Igor E. 3 Sutherland, Andrew V. 3 Zaytsev, Alexey 3 Zieve, Michael E. 2 Achter, Jeffrey D. 2 Arias-de-Reyna, Sara 2 Barrios, Alexander J. 2 Berardini, Elena 2 Castryck, Wouter 2 Chirskiĭ, Vladimir Grigor’evich 2 Cojocaru, Alina Carmen 2 Goresky, Robert Mark 2 Harashita, Shushi 2 Humphries, Peter J. 2 Jacobson, Michael John jun. 2 Katz, Nicholas Michael 2 Kawakita, Motoko Qiu 2 Krenn, Daniel 2 Kudo, Momonari 2 Kulesz, Leopoldo 2 Leprévost, Franck 2 Li, Wanlin 2 Malmendier, Andreas 2 Matveev, Vladimir Yur’evich 2 Milman, Vitali D. 2 Poonen, Bjorn 2 Pries, Rachel J. 2 Rotem, Liran 2 Roulleau, Xavier 2 Scheidler, Renate 2 Shankar, Ananth N. 2 Sijsling, Jeroen 2 Silverberg, Alice 2 Stichtenoth, Henning 2 Suppakitpaisarn, Vorapong 2 Tai, Yungsheng 2 Thuswaldner, Jörg Maximilian 2 Tsimerman, Jacob 2 Van der Geer, Gerard 2 Vlǎduţ, Sergei Georgievich 1 Accola, Robert D. M. 1 Ahmadi, Omran 1 Akbary, Amir 1 Anbar, Nurdagül 1 Armana, Cécile 1 Artebani, Michela 1 Asif, Sualeh 1 Ayano, Takanori 1 Balaji, S. B. 1 Ballico, Edoardo 1 Banks, William D. 1 Bartel, Alex 1 Bartoli, Daniele 1 Bauer, Mark L. 1 Bell, Renee 1 Bertók, Csanád 1 Blache, Régis 1 Blakestad, Clifford 1 Bleher, Frauke M. 1 Bloom, Samuel 1 Brochero Martínez, Fabio Enrique 1 Brock, Bradley W. 1 Bröker, Reinier 1 Bruce, Juliette 1 Bruin, Nils 1 Bruin, Peter 1 Brumer, Armand 1 Bukhshtaber, Viktor Matveevich 1 Carocca, Angel 1 Chen, Binglong 1 Chetty, Sunil 1 Chinburg, Ted 1 Chinen, Koji 1 Cornelissen, Gunther 1 Couveignes, Jean-Marc 1 Cowan, Alexander 1 Creutz, Brendan 1 Cullinan, John 1 David, Chantal 1 Debarre, Olivier 1 Decru, Thomas 1 Devin, Lucile 1 Dose, Valerio 1 Elkies, Noam David 1 Erman, Daniel 1 Faifman, Dmitry ...and 153 more Authors
all top 5

### Cited in 74 Serials

 18 Finite Fields and their Applications 15 Journal of Number Theory 12 Mathematics of Computation 7 Journal of Algebra 5 Acta Arithmetica 5 Proceedings of the American Mathematical Society 5 Journal de Théorie des Nombres de Bordeaux 5 International Journal of Number Theory 5 Research in Number Theory 4 Israel Journal of Mathematics 4 Annales de l’Institut Fourier 4 The Ramanujan Journal 3 Rocky Mountain Journal of Mathematics 3 Advances in Mathematics 3 Duke Mathematical Journal 3 Mathematische Zeitschrift 3 Doklady Mathematics 3 LMS Journal of Computation and Mathematics 3 Chebyshevskiĭ Sbornik 3 Journal of Mathematical Cryptology 2 Bulletin of the Australian Mathematical Society 2 Communications in Algebra 2 Discrete Mathematics 2 Mathematical Notes 2 Mathematische Annalen 2 Pacific Journal of Mathematics 2 Transactions of the American Mathematical Society 2 Journal of Symbolic Computation 2 Forum Mathematicum 2 Designs, Codes and Cryptography 2 Linear Algebra and its Applications 2 Experimental Mathematics 2 Communications in Contemporary Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Foundations and Trends in Communications and Information Theory 1 American Mathematical Monthly 1 Discrete Applied Mathematics 1 Information Processing Letters 1 Letters in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Moscow University Mathematics Bulletin 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Collectanea Mathematica 1 Compositio Mathematica 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Pure and Applied Algebra 1 Kodai Mathematical Journal 1 Manuscripta Mathematica 1 Monatshefte für Mathematik 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Acta Mathematica Hungarica 1 MSCS. Mathematical Structures in Computer Science 1 Geometric and Functional Analysis. GAFA 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Indagationes Mathematicae. New Series 1 Journal of Mathematical Sciences (New York) 1 Izvestiya: Mathematics 1 Mathematical Communications 1 Journal of Integer Sequences 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of Algebra and its Applications 1 Advances in Mathematics of Communications 1 Algebra & Number Theory 1 Albanian Journal of Mathematics 1 Moscow Journal of Combinatorics and Number Theory 1 Forum of Mathematics, Sigma 1 Arnold Mathematical Journal 1 Annales Henri Lebesgue
all top 5

### Cited in 22 Fields

 153 Number theory (11-XX) 130 Algebraic geometry (14-XX) 14 Information and communication theory, circuits (94-XX) 8 Computer science (68-XX) 5 Field theory and polynomials (12-XX) 5 Group theory and generalizations (20-XX) 4 Commutative algebra (13-XX) 4 Convex and discrete geometry (52-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Differential geometry (53-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 $$K$$-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)