Edit Profile Howe, Everett W. Compute Distance To: Compute Author ID: howe.everett-w Published as: Howe, Everett W.; Howe, Everett External Links: ORCID Documents Indexed: 44 Publications since 1986, including 3 Books Reviewing Activity: 25 Reviews Biographic References: 1 Publication all top 5 Co-Authors 20 single-authored 6 Lauter, Kristin Estella 4 Ritzenthaler, Christophe 3 Poonen, Bjorn 2 Achter, Jeffrey D. 2 Elkies, Noam David 2 Guralnick, Robert Michael 2 Leprévost, Franck 2 Nart, Enric 2 Zieve, Michael E. 1 Aubry, Yves 1 Barg, Alexander M. 1 Bröker, Reinier 1 Dimitrov, Vassil S. 1 DiPippo, Stephen A. 1 Harashita, Shushi 1 Haymaker, Kathryn 1 Kedlaya, Kiran Sridhara 1 Kresch, Andrew 1 Kudo, Momonari 1 Maisner, Daniel 1 Matthews, Gretchen L. 1 Scheidler, Renate 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 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 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 Algebra & Number Theory 1 The Open Book Series 1 Association for Women in Mathematics Series Fields 38 Algebraic geometry (14-XX) 36 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 218 times in 165 Documents Cited by ▼ Year ▼ Large torsion subgroups of split Jacobians of curves of genus two or three. Zbl 0983.11037Howe, Everett W.; Leprévost, Franck; Poonen, Bjorn 26 2000 Principally polarized ordinary abelian varieties over finite fields. Zbl 0859.14016Howe, Everett W. 19 1995 Real polynomials with all roots on the unit circle and abelian varieties over finite fields. Zbl 0931.11023DiPippo, Stephen A.; Howe, Everett W. 18 1998 On the group orders of elliptic curves over finite fields. Zbl 0793.14023Howe, Everett W. 15 1993 On the existence of absolutely simple abelian varieties of a given dimension over an arbitrary field. Zbl 0998.11031Howe, Everett W.; Zhu, Hui June 12 2002 Jacobians in isogeny classes of abelian surfaces over finite fields. Zbl 1236.11058Howe, Everett W.; Nart, Enric; Ritzenthaler, Christophe 11 2009 The Weil pairing and the Hilbert symbol. Zbl 0854.11031Howe, Everett W. 9 1996 Isogeny classes of abelian varieties with no principal polarizations. Zbl 1079.14531Howe, Everett W. 8 2001 Improved upper bounds for the number of points on curves over finite fields. Zbl 1065.11043Howe, Everett W.; Lauter, Kristin E. 8 2003 Curves of every genus with many points. II: Asymptotically good families. Zbl 1072.11041Elkies, Noam D.; Howe, Everett W.; Kresch, Andrew; Poonen, Bjorn; Wetherell, Joseph L.; Zieve, Michael E. 7 2004 Pointless curves of genus three and four. Zbl 1116.14010Howe, Everett W.; Lauter, Kristin E.; Top, Jaap 6 2005 Lower bounds on the lengths of double-base representations. Zbl 1263.11086Dimitrov, Vassil S.; Howe, Everett W. 6 2011 Genus-2 curves and Jacobians with a given number of points. Zbl 1387.14086Bröker, Reinier; Howe, Everett W.; Lauter, Kristin E.; Stevenhagen, Peter 6 2015 New methods for bounding the number of points on curves over finite fields. Zbl 1317.11065Howe, Everett W.; Lauter, Kristin E. 6 2012 Plane quartics with Jacobians isomorphic to a hyperelliptic Jacobian. Zbl 0974.14021Howe, Everett W. 5 2001 Corrigendum to: “Improved upper bounds for the number of points on curves over finite fields”. Zbl 1248.11043Howe, Everett W.; Lauter, Kristin E. 5 2007 Constructing distinct curves with isomorphic Jacobians. Zbl 0842.14019Howe, Everett W. 4 1996 Split abelian surfaces over finite fields and reductions of genus-2 curves. Zbl 1357.14059Achter, Jeffrey D.; Howe, Everett W. 4 2017 A new proof of Erdős’s theorem on monotone multiplicative functions. Zbl 0614.10001Howe, Everett 4 1986 Principally polarizable isogeny classes of Abelian surfaces over finite fields. Zbl 1145.11045Howe, Everett W.; Maisner, Daniel; Nart, Enric; Ritzenthaler, Christophe 3 2008 Genus bounds for curves with fixed Frobenius eigenvalues. Zbl 1286.14035Elkies, Noam D.; Howe, Everett W.; Ritzenthaler, Christophe 3 2014 Higher-order Carmichael numbers. Zbl 0966.11006Howe, Everett W. 3 2000 Quickly constructing curves of genus 4 with many points. Zbl 1417.11122Howe, Everett W. 3 2016 Infinite families of pairs of curves over \(\mathbb{Q}\) with isomorphic Jacobians. Zbl 1093.14041Howe, Everett W. 3 2005 Genus-2 Jacobians with torsion points of large order. Zbl 1319.14030Howe, Everett W. 3 2015 New bounds on the maximum number of points on genus-4 curves over small finite fields. Zbl 1317.11064Howe, Everett W. 3 2012 Hasse-Witt and Cartier-Manin matrices: a warning and a request. Zbl 1439.11145Achter, Jeffrey D.; Howe, Everett W. 2 2019 Supersingular genus-2 curves over fields of characteristic 3. Zbl 1166.11020Howe, Everett W. 2 2008 Nonisomorphic curves that become isomorphic over extensions of coprime degrees. Zbl 1160.14020Goldstein, Daniel; Guralnick, Robert M.; Howe, Everett W.; Zieve, Michael E. 2 2008 Constructing distinct curves with isomorphic Jacobians in characteristic zero. Zbl 0832.14019Howe, Everett W. 2 1995 On the non-existence of certain curves of genus two. Zbl 1067.11035Howe, Everett W. 2 2004 Kernels of polarizations of abelian varieties over finite fields. Zbl 0911.11031Howe, Everett W. 2 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 0895.11027Howe, Everett W.; Leprévost, Franck; Poonen, Bjorn 2 1996 Curves of medium genus with many points. Zbl 1409.11048Howe, Everett W. 2 2017 Locally recoverable codes from algebraic curves and surfaces. Zbl 1410.94123Barg, Alexander; Haymaker, Kathryn; Howe, Everett W.; Matthews, Gretchen L.; Várilly-Alvarado, Anthony 1 2017 Constructing and tabulating dihedral function fields. Zbl 1345.11079Weir, Colin; Scheidler, Renate; Howe, Everett W. 1 2013 Hasse-Witt and Cartier-Manin matrices: a warning and a request. Zbl 1439.11145Achter, Jeffrey D.; Howe, Everett W. 2 2019 Split abelian surfaces over finite fields and reductions of genus-2 curves. Zbl 1357.14059Achter, Jeffrey D.; Howe, Everett W. 4 2017 Curves of medium genus with many points. Zbl 1409.11048Howe, Everett W. 2 2017 Locally recoverable codes from algebraic curves and surfaces. Zbl 1410.94123Barg, Alexander; Haymaker, Kathryn; Howe, Everett W.; Matthews, Gretchen L.; Várilly-Alvarado, Anthony 1 2017 Quickly constructing curves of genus 4 with many points. Zbl 1417.11122Howe, Everett W. 3 2016 Genus-2 curves and Jacobians with a given number of points. Zbl 1387.14086Bröker, Reinier; Howe, Everett W.; Lauter, Kristin E.; Stevenhagen, Peter 6 2015 Genus-2 Jacobians with torsion points of large order. Zbl 1319.14030Howe, Everett W. 3 2015 Genus bounds for curves with fixed Frobenius eigenvalues. Zbl 1286.14035Elkies, Noam D.; Howe, Everett W.; Ritzenthaler, Christophe 3 2014 Constructing and tabulating dihedral function fields. Zbl 1345.11079Weir, Colin; Scheidler, Renate; Howe, Everett W. 1 2013 New methods for bounding the number of points on curves over finite fields. Zbl 1317.11065Howe, Everett W.; Lauter, Kristin E. 6 2012 New bounds on the maximum number of points on genus-4 curves over small finite fields. Zbl 1317.11064Howe, Everett W. 3 2012 Lower bounds on the lengths of double-base representations. Zbl 1263.11086Dimitrov, Vassil S.; Howe, Everett W. 6 2011 Jacobians in isogeny classes of abelian surfaces over finite fields. Zbl 1236.11058Howe, Everett W.; Nart, Enric; Ritzenthaler, Christophe 11 2009 Principally polarizable isogeny classes of Abelian surfaces over finite fields. Zbl 1145.11045Howe, Everett W.; Maisner, Daniel; Nart, Enric; Ritzenthaler, Christophe 3 2008 Supersingular genus-2 curves over fields of characteristic 3. Zbl 1166.11020Howe, Everett W. 2 2008 Nonisomorphic curves that become isomorphic over extensions of coprime degrees. Zbl 1160.14020Goldstein, Daniel; Guralnick, Robert M.; Howe, Everett W.; Zieve, Michael E. 2 2008 Corrigendum to: “Improved upper bounds for the number of points on curves over finite fields”. Zbl 1248.11043Howe, Everett W.; Lauter, Kristin E. 5 2007 Pointless curves of genus three and four. Zbl 1116.14010Howe, Everett W.; Lauter, Kristin E.; Top, Jaap 6 2005 Infinite families of pairs of curves over \(\mathbb{Q}\) with isomorphic Jacobians. Zbl 1093.14041Howe, Everett W. 3 2005 Curves of every genus with many points. II: Asymptotically good families. Zbl 1072.11041Elkies, Noam D.; Howe, Everett W.; Kresch, Andrew; Poonen, Bjorn; Wetherell, Joseph L.; Zieve, Michael E. 7 2004 On the non-existence of certain curves of genus two. Zbl 1067.11035Howe, Everett W. 2 2004 Improved upper bounds for the number of points on curves over finite fields. Zbl 1065.11043Howe, Everett W.; Lauter, Kristin E. 8 2003 On the existence of absolutely simple abelian varieties of a given dimension over an arbitrary field. Zbl 0998.11031Howe, Everett W.; Zhu, Hui June 12 2002 Isogeny classes of abelian varieties with no principal polarizations. Zbl 1079.14531Howe, Everett W. 8 2001 Plane quartics with Jacobians isomorphic to a hyperelliptic Jacobian. Zbl 0974.14021Howe, Everett W. 5 2001 Large torsion subgroups of split Jacobians of curves of genus two or three. Zbl 0983.11037Howe, Everett W.; Leprévost, Franck; Poonen, Bjorn 26 2000 Higher-order Carmichael numbers. Zbl 0966.11006Howe, Everett W. 3 2000 Real polynomials with all roots on the unit circle and abelian varieties over finite fields. Zbl 0931.11023DiPippo, Stephen A.; Howe, Everett W. 18 1998 The Weil pairing and the Hilbert symbol. Zbl 0854.11031Howe, Everett W. 9 1996 Constructing distinct curves with isomorphic Jacobians. Zbl 0842.14019Howe, Everett W. 4 1996 Kernels of polarizations of abelian varieties over finite fields. Zbl 0911.11031Howe, Everett W. 2 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 0895.11027Howe, Everett W.; Leprévost, Franck; Poonen, Bjorn 2 1996 Principally polarized ordinary abelian varieties over finite fields. Zbl 0859.14016Howe, Everett W. 19 1995 Constructing distinct curves with isomorphic Jacobians in characteristic zero. Zbl 0832.14019Howe, Everett W. 2 1995 On the group orders of elliptic curves over finite fields. Zbl 0793.14023Howe, Everett W. 15 1993 A new proof of Erdős’s theorem on monotone multiplicative functions. Zbl 0614.10001Howe, Everett 4 1986 all cited Publications top 5 cited Publications all top 5 Cited by 213 Authors 15 Howe, Everett W. 6 Shaska, Tanush 5 Ritzenthaler, Christophe 4 Lauter, Kristin Estella 4 Top, Jaap 3 Aubry, Yves 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 Castryck, Wouter 2 Chirskiĭ, Vladimir Grigor’evich 2 Cojocaru, Alina Carmen 2 Fëdorov, Gleb Vladimirovich 2 Giangreco-Maidana, Alejandro José 2 Goresky, Robert Mark 2 Harashita, Shushi 2 Humphries, Peter J. 2 Jacobson, Michael John jun. 2 Karemaker, Valentijn 2 Kawakita, Motoko Qiu 2 Krenn, Daniel 2 Kudo, Momonari 2 Kulesz, Leopoldo 2 Leprévost, Franck 2 Li, Wanlin 2 Malmendier, Andreas 2 Marseglia, Stefano 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 Silverberg, Alice 2 Stichtenoth, Henning 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 Banks, William D. 1 Barrios, Alexander J. 1 Bartel, Alex 1 Bartoli, Daniele 1 Bauer, Mark L. 1 Bell, Renee 1 Berardini, Elena 1 Bertók, Csanád 1 Blache, Régis 1 Blakestad, Clifford 1 Bloom, Samuel 1 Brock, Bradley W. 1 Bröker, Reinier 1 Bruce, Juliette 1 Bruin, Nils 1 Bruin, Peter 1 Brumer, Armand 1 Carocca, Angel 1 Chen, Binglong 1 Chetty, Sunil 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 Dose, Valerio 1 Elkies, Noam David 1 Erman, Daniel 1 Faifman, Dmitry 1 Fan, Xinxin 1 Felix, Adam Tyler 1 Fernandez, Julio 1 Fiori, Andrew 1 Fisher, Tom A. 1 Flynn, Eugene Victor 1 Frey, Gerhard 1 Friedlander, John Benjamin 1 Fritz, Tobias 1 Galbraith, Steven D. 1 Gekeler, Ernst-Ulrich 1 Girard, Martine 1 Giulietti, Massimo ...and 113 more Authors all top 5 Cited in 66 Serials 18 Finite Fields and their Applications 15 Journal of Number Theory 10 Mathematics of Computation 6 Journal of Algebra 5 Acta Arithmetica 5 Proceedings of the American Mathematical Society 5 Journal de Théorie des Nombres de Bordeaux 4 Annales de l’Institut Fourier 3 Israel Journal of Mathematics 3 Rocky Mountain Journal of Mathematics 3 Duke Mathematical Journal 3 Doklady Mathematics 3 The Ramanujan Journal 3 LMS Journal of Computation and Mathematics 3 Journal of Mathematical Cryptology 3 Research in Number Theory 2 Mathematical Notes 2 Advances in Mathematics 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Pacific Journal of Mathematics 2 Transactions of the American Mathematical Society 2 Journal of Symbolic Computation 2 Forum Mathematicum 2 Linear Algebra and its Applications 2 Communications in Contemporary Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 International Journal of Number Theory 2 Chebyshevskiĭ Sbornik 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 Discrete Applied Mathematics 1 Discrete Mathematics 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 Manuscripta Mathematica 1 Monatshefte für Mathematik 1 Acta Mathematica Hungarica 1 MSCS. Mathematical Structures in Computer Science 1 Designs, Codes and Cryptography 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 Experimental Mathematics 1 Izvestiya: Mathematics 1 Journal of Integer Sequences 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of Algebra and its Applications 1 SIGMA. Symmetry, Integrability and Geometry: Methods and 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 Annales Henri Lebesgue all top 5 Cited in 19 Fields 134 Number theory (11-XX) 112 Algebraic geometry (14-XX) 11 Information and communication theory, circuits (94-XX) 5 Group theory and generalizations (20-XX) 4 Convex and discrete geometry (52-XX) 4 Computer science (68-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 2 Linear and multilinear algebra; matrix theory (15-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 Associative rings and algebras (16-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 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year