Edit Profile (opens in new tab) Howe, Everett W. Compute Distance To: Compute 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) Publications by Year all cited Publications top 5 cited Publications 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 0983.11037Howe, Everett W.; Leprévost, Franck; Poonen, Bjorn 31 2000 Abelian surfaces over finite fields as Jacobians. With an appendix by Everett W. Howe. Zbl 1101.14056Maisner, Daniel; Nart, Enric 25 2002 Principally polarized ordinary abelian varieties over finite fields. Zbl 0859.14016Howe, Everett W. 25 1995 Real polynomials with all roots on the unit circle and abelian varieties over finite fields. Zbl 0931.11023DiPippo, Stephen A.; Howe, Everett W. 21 1998 On the existence of absolutely simple abelian varieties of a given dimension over an arbitrary field. Zbl 0998.11031Howe, Everett W.; Zhu, Hui June 16 2002 On the group orders of elliptic curves over finite fields. Zbl 0793.14023Howe, Everett W. 15 1993 Jacobians in isogeny classes of abelian surfaces over finite fields. Zbl 1236.11058Howe, Everett W.; Nart, Enric; Ritzenthaler, Christophe 13 2009 The Weil pairing and the Hilbert symbol. Zbl 0854.11031Howe, Everett W. 9 1996 Stable reduction of \(X_0(p^3)\). With an Appendix by Everett W. Howe. Zbl 1215.11060McMurdy, Ken; Coleman, Robert 9 2010 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 New methods for bounding the number of points on curves over finite fields. Zbl 1317.11065Howe, Everett W.; Lauter, Kristin E. 7 2012 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 Lower bounds on the lengths of double-base representations. Zbl 1263.11086Dimitrov, Vassil S.; Howe, Everett W. 7 2011 Pointless curves of genus three and four. Zbl 1116.14010Howe, Everett W.; Lauter, Kristin E.; Top, Jaap 7 2005 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 Hasse-Witt and Cartier-Manin matrices: a warning and a request. Zbl 1439.11145Achter, Jeffrey D.; Howe, Everett W. 6 2019 Constructing distinct curves with isomorphic Jacobians. Zbl 0842.14019Howe, Everett W. 6 1996 Plane quartics with Jacobians isomorphic to a hyperelliptic Jacobian. Zbl 0974.14021Howe, Everett W. 5 2001 Locally recoverable codes from algebraic curves and surfaces. Zbl 1410.94123Barg, Alexander; Haymaker, Kathryn; Howe, Everett W.; Matthews, Gretchen L.; Várilly-Alvarado, Anthony 5 2017 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 A new proof of Erdős’s theorem on monotone multiplicative functions. Zbl 0614.10001Howe, Everett 4 1986 Split abelian surfaces over finite fields and reductions of genus-2 curves. Zbl 1357.14059Achter, Jeffrey D.; Howe, Everett W. 4 2017 Quickly constructing curves of genus 4 with many points. Zbl 1417.11122Howe, Everett W. 4 2016 Genus-2 Jacobians with torsion points of large order. Zbl 1319.14030Howe, Everett W. 4 2015 Infinite families of pairs of curves over \(\mathbb{Q}\) with isomorphic Jacobians. Zbl 1093.14041Howe, Everett W. 4 2005 New bounds on the maximum number of points on genus-4 curves over small finite fields. Zbl 1317.11064Howe, Everett W. 3 2012 Genus bounds for curves with fixed Frobenius eigenvalues. Zbl 1286.14035Elkies, Noam D.; Howe, Everett W.; Ritzenthaler, Christophe 3 2014 Principally polarizable isogeny classes of Abelian surfaces over finite fields. Zbl 1145.11045Howe, Everett W.; Maisner, Daniel; Nart, Enric; Ritzenthaler, Christophe 3 2008 Higher-order Carmichael numbers. Zbl 0966.11006Howe, Everett W. 3 2000 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 and tabulating dihedral function fields. Zbl 1345.11079Weir, Colin; Scheidler, Renate; Howe, Everett W. 2 2013 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 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 1475.11002Serre, Jean-Pierre 2 2020 Curves of medium genus with many points. Zbl 1409.11048Howe, Everett W. 2 2017 Constructing distinct curves with isomorphic Jacobians in characteristic zero. Zbl 0832.14019Howe, Everett W. 2 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 1475.11002Serre, Jean-Pierre 2 2020 Hasse-Witt and Cartier-Manin matrices: a warning and a request. Zbl 1439.11145Achter, Jeffrey D.; Howe, Everett W. 6 2019 Locally recoverable codes from algebraic curves and surfaces. Zbl 1410.94123Barg, Alexander; Haymaker, Kathryn; Howe, Everett W.; Matthews, Gretchen L.; Várilly-Alvarado, Anthony 5 2017 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 Quickly constructing curves of genus 4 with many points. Zbl 1417.11122Howe, Everett W. 4 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. 4 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. 2 2013 New methods for bounding the number of points on curves over finite fields. Zbl 1317.11065Howe, Everett W.; Lauter, Kristin E. 7 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. 7 2011 Stable reduction of \(X_0(p^3)\). With an Appendix by Everett W. Howe. Zbl 1215.11060McMurdy, Ken; Coleman, Robert 9 2010 Jacobians in isogeny classes of abelian surfaces over finite fields. Zbl 1236.11058Howe, Everett W.; Nart, Enric; Ritzenthaler, Christophe 13 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 7 2005 Infinite families of pairs of curves over \(\mathbb{Q}\) with isomorphic Jacobians. Zbl 1093.14041Howe, Everett W. 4 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 Abelian surfaces over finite fields as Jacobians. With an appendix by Everett W. Howe. Zbl 1101.14056Maisner, Daniel; Nart, Enric 25 2002 On the existence of absolutely simple abelian varieties of a given dimension over an arbitrary field. Zbl 0998.11031Howe, Everett W.; Zhu, Hui June 16 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 31 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. 21 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. 6 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. 25 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 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) Citations by Year