## Flynn, Eugene Victor

Compute Distance To:
 Author ID: flynn.eugene-victor Published as: Flynn, E. V.; Flynn, E. Victor; Flynn, Eugene Victor External Links: MGP · ORCID · Wikidata
 Documents Indexed: 37 Publications since 1990, including 1 Book 1 Further Contribution Co-Authors: 19 Co-Authors with 19 Joint Publications 421 Co-Co-Authors
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### Co-Authors

 17 single-authored 7 Bruin, Nils 3 Testa, Damiano 2 Schaefer, Edward F. 2 Wetherell, Joseph L. 1 Arnth-Jensen, Anna 1 Bright, M. J. 1 Cassels, John William Scott 1 González, Josep R. 1 Grattoni, Carlos 1 Leprévost, Franck 1 Logan, Adam 1 Masser, David William 1 Poonen, Bjorn 1 Rotger, Victor 1 Smart, Nigel P. 1 Stein, William A. 1 Stoll, Michael 1 Ti, Yan Bo 1 van Luijk, Ronald M. 1 Wunderle, J. 1 Zannier, Umberto M.
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### Serials

 5 Acta Arithmetica 5 Journal of Number Theory 4 Manuscripta Mathematica 3 Mathematical Proceedings of the Cambridge Philosophical Society 2 Monatshefte für Mathematik 2 Transactions of the American Mathematical Society 1 Mathematics of Computation 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal für die Reine und Angewandte Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Journal of Symbolic Computation 1 Journal de Théorie des Nombres de Bordeaux 1 LMS Journal of Computation and Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 London Mathematical Society Lecture Note Series

### Fields

 33 Algebraic geometry (14-XX) 29 Number theory (11-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

35 Publications have been cited 686 times in 534 Documents Cited by Year
The Brauer-Manin obstruction and $$\text{Ш}[2]$$. Zbl 1222.11084
Bright, M. J.; Bruin, N.; Flynn, E. V.; Logan, A.
2007
Prolegomena to a middlebrow arithmetic of curves of genus 2. Zbl 0857.14018
Cassels, J. W. S.; Flynn, E. V.
1996
Cycles of quadratic polynomials and rational points on a genus-2 curve. Zbl 0958.11024
Flynn, E. V.; Poonen, Bjorn; Schaefer, Edward F.
1997
A flexible method for applying Chabauty’s theorem. Zbl 0882.14009
Flynn, E. V.
1997
Empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves. Zbl 1020.11043
Flynn, E. Victor; Leprévost, Franck; Schaefer, Edward F.; Stein, William A.; Stoll, Michael
2001
Torsion points on families of simple abelian surfaces and Pell’s equation over polynomial rings (with an appendix by E. V. Flynn). Zbl 1328.11068
Masser, D.; Zannier, U.
2015
Covering collections and a challenge problem of Serre. Zbl 1049.11066
Flynn, E. Victor; Wetherell, Joseph L.
2001
Canonical heights on the Jacobians of curves of genus 2 and the infinite descent. Zbl 0895.11026
Flynn, E. V.; Smart, N. P.
1997
Finding rational points on bielliptic genus 2 curves. Zbl 1029.11024
Flynn, E. Victor; Wetherell, Joseph L.
1999
The Jacobian and formal group of a curve of genus 2 over an arbitrary ground field. Zbl 0723.14023
Flynn, Eugene Victor
1990
The Hasse principle and the Brauer-Manin obstruction for curves. Zbl 1069.11023
Flynn, E. V.
2004
Towers of 2-covers of hyperelliptic curves. Zbl 1145.11317
Bruin, Nils; Flynn, E. Victor
2005
Non-trivial Ш in the Jacobian of an infinite family of curves of genus 2. Zbl 1179.14030
Arnth-Jensen, Anna; Flynn, E. Victor
2009
Large rational torsion on abelian varieties. Zbl 0757.14025
Flynn, E. V.
1990
Descent via $$(3,3)$$-isogeny on Jacobians of genus 2 curves. Zbl 1311.11052
Bruin, Nils; Flynn, E. Victor; Testa, Damiano
2014
Exhibiting SHA[2] on hyperelliptic Jacobians. Zbl 1118.14035
Bruin, N.; Flynn, E. V.
2006
Sequences of rational torsions on abelian varieties. Zbl 0788.14040
Flynn, E. V.
1991
On finiteness conjectures for endomorphism algebras of abelian surfaces. Zbl 1116.14042
Bruin, Nils; Flynn, E. Victor; Gonzalez, Josep; Rotger, Victor
2006
The group law on the Jacobian of a curve of genus 2. Zbl 0765.14014
Flynn, E. V.
1993
On $$\mathbb Q$$-derived polynomials. Zbl 1058.11045
Flynn, E. V.
2001
An explicit theory of heights. Zbl 0864.11033
Flynn, E. V.
1995
Descent via isogeny in dimension 2. Zbl 0835.14009
Flynn, E. V.
1994
Application of covering techniques to families of curves. Zbl 1119.14026
Flynn, E. V.; Redmond, J.
2003
Descent via isogeny on elliptic curves with large rational torsion subgroups. Zbl 1132.14310
Flynn, E. V.; Grattoni, C.
2008
Genus two isogeny cryptography. Zbl 07173869
Flynn, E. V.; Ti, Yan Bo
2019
Coverings of curves of genus 2. Zbl 0986.11042
Flynn, E. Victor
2000
Descent via $$(5, 5)$$-isogeny on Jacobians of genus 2 curves. Zbl 1365.11084
Flynn, E. V.
2015
The arithmetic of hyperelliptic curves. Zbl 0874.14012
Flynn, E. V.
1996
Rational divisors in rational divisor classes. Zbl 1148.11318
Bruin, N.; Flynn, E. V.
2004
$$N$$-covers of hyperelliptic curves. Zbl 1053.11056
Bruin, N.; Flynn, E. V.
2003
Homogeneous spaces and degree 4 del Pezzo surfaces. Zbl 1184.11021
Flynn, E. V.
2009
Finite Weil restriction of curves. Zbl 1319.11040
Flynn, E. V.; Testa, D.
2015
Two-coverings of Jacobians of curves of genus 2. Zbl 1235.14025
Flynn, E. Victor; Testa, Damiano; Van Luijk, Ronald
2012
On a theorem of Coleman. Zbl 0865.14012
Flynn, E. V.
1995
Arbitrarily large Tate-Shafarevich group on abelian surfaces. Zbl 1444.11136
Flynn, E. V.
2018
Genus two isogeny cryptography. Zbl 07173869
Flynn, E. V.; Ti, Yan Bo
2019
Arbitrarily large Tate-Shafarevich group on abelian surfaces. Zbl 1444.11136
Flynn, E. V.
2018
Torsion points on families of simple abelian surfaces and Pell’s equation over polynomial rings (with an appendix by E. V. Flynn). Zbl 1328.11068
Masser, D.; Zannier, U.
2015
Descent via $$(5, 5)$$-isogeny on Jacobians of genus 2 curves. Zbl 1365.11084
Flynn, E. V.
2015
Finite Weil restriction of curves. Zbl 1319.11040
Flynn, E. V.; Testa, D.
2015
Descent via $$(3,3)$$-isogeny on Jacobians of genus 2 curves. Zbl 1311.11052
Bruin, Nils; Flynn, E. Victor; Testa, Damiano
2014
Two-coverings of Jacobians of curves of genus 2. Zbl 1235.14025
Flynn, E. Victor; Testa, Damiano; Van Luijk, Ronald
2012
Non-trivial Ш in the Jacobian of an infinite family of curves of genus 2. Zbl 1179.14030
Arnth-Jensen, Anna; Flynn, E. Victor
2009
Homogeneous spaces and degree 4 del Pezzo surfaces. Zbl 1184.11021
Flynn, E. V.
2009
Descent via isogeny on elliptic curves with large rational torsion subgroups. Zbl 1132.14310
Flynn, E. V.; Grattoni, C.
2008
The Brauer-Manin obstruction and $$\text{Ш}[2]$$. Zbl 1222.11084
Bright, M. J.; Bruin, N.; Flynn, E. V.; Logan, A.
2007
Exhibiting SHA[2] on hyperelliptic Jacobians. Zbl 1118.14035
Bruin, N.; Flynn, E. V.
2006
On finiteness conjectures for endomorphism algebras of abelian surfaces. Zbl 1116.14042
Bruin, Nils; Flynn, E. Victor; Gonzalez, Josep; Rotger, Victor
2006
Towers of 2-covers of hyperelliptic curves. Zbl 1145.11317
Bruin, Nils; Flynn, E. Victor
2005
The Hasse principle and the Brauer-Manin obstruction for curves. Zbl 1069.11023
Flynn, E. V.
2004
Rational divisors in rational divisor classes. Zbl 1148.11318
Bruin, N.; Flynn, E. V.
2004
Application of covering techniques to families of curves. Zbl 1119.14026
Flynn, E. V.; Redmond, J.
2003
$$N$$-covers of hyperelliptic curves. Zbl 1053.11056
Bruin, N.; Flynn, E. V.
2003
Empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves. Zbl 1020.11043
Flynn, E. Victor; Leprévost, Franck; Schaefer, Edward F.; Stein, William A.; Stoll, Michael
2001
Covering collections and a challenge problem of Serre. Zbl 1049.11066
Flynn, E. Victor; Wetherell, Joseph L.
2001
On $$\mathbb Q$$-derived polynomials. Zbl 1058.11045
Flynn, E. V.
2001
Coverings of curves of genus 2. Zbl 0986.11042
Flynn, E. Victor
2000
Finding rational points on bielliptic genus 2 curves. Zbl 1029.11024
Flynn, E. Victor; Wetherell, Joseph L.
1999
Cycles of quadratic polynomials and rational points on a genus-2 curve. Zbl 0958.11024
Flynn, E. V.; Poonen, Bjorn; Schaefer, Edward F.
1997
A flexible method for applying Chabauty’s theorem. Zbl 0882.14009
Flynn, E. V.
1997
Canonical heights on the Jacobians of curves of genus 2 and the infinite descent. Zbl 0895.11026
Flynn, E. V.; Smart, N. P.
1997
Prolegomena to a middlebrow arithmetic of curves of genus 2. Zbl 0857.14018
Cassels, J. W. S.; Flynn, E. V.
1996
The arithmetic of hyperelliptic curves. Zbl 0874.14012
Flynn, E. V.
1996
An explicit theory of heights. Zbl 0864.11033
Flynn, E. V.
1995
On a theorem of Coleman. Zbl 0865.14012
Flynn, E. V.
1995
Descent via isogeny in dimension 2. Zbl 0835.14009
Flynn, E. V.
1994
The group law on the Jacobian of a curve of genus 2. Zbl 0765.14014
Flynn, E. V.
1993
Sequences of rational torsions on abelian varieties. Zbl 0788.14040
Flynn, E. V.
1991
The Jacobian and formal group of a curve of genus 2 over an arbitrary ground field. Zbl 0723.14023
Flynn, Eugene Victor
1990
Large rational torsion on abelian varieties. Zbl 0757.14025
Flynn, E. V.
1990
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### Cited in 103 Serials

 193 Analysis Mathematica 29 Acta Mathematica Hungarica 25 Journal of Number Theory 20 Mathematics of Computation 16 Transformation Groups 11 Russian Mathematical Surveys 11 Transactions of the American Mathematical Society 10 Semigroup Forum 10 LMS Journal of Computation and Mathematics 9 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematika. Mekhanika. Fizika 8 Manuscripta Mathematica 7 International Journal of Number Theory 6 Acta Arithmetica 6 Studia Logica 6 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 5 Duke Mathematical Journal 5 Applied Mathematics and Mechanics. (English Edition) 5 Acta Mathematicae Applicatae Sinica. English Series 5 Journal de Théorie des Nombres de Bordeaux 4 Rocky Mountain Journal of Mathematics 4 Annales de l’Institut Fourier 4 Compositio Mathematica 4 Journal of Algebra 4 Journal für die Reine und Angewandte Mathematik 4 Proceedings of the American Mathematical Society 4 Research in Number Theory 3 Advances in Mathematics 3 Monatshefte für Mathematik 3 Journal of Symbolic Computation 3 Experimental Mathematics 3 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika 3 Research in the Mathematical Sciences 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Archiv der Mathematik 2 Bulletin of the London Mathematical Society 2 Inventiones Mathematicae 2 Journal of the Mathematical Society of Japan 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Michigan Mathematical Journal 2 Revista Matemática Iberoamericana 2 Journal of Cryptology 2 Bulletin of the American Mathematical Society. New Series 2 Indagationes Mathematicae. New Series 2 Finite Fields and their Applications 2 Izvestiya: Mathematics 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Journal of Mathematical Cryptology 2 Forum of Mathematics, Sigma 2 Journal of Computational and Engineering Mathematics 1 Archive for History of Exact Sciences 1 Astrophysics and Space Science 1 Bulletin of the Australian Mathematical Society 1 Discrete Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Letters in Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Journal of Geometry and Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 American Journal of Mathematics 1 Bulletin de la Société Mathématique de France 1 Functiones et Approximatio. Commentarii Mathematici 1 Illinois Journal of Mathematics 1 Journal of Combinatorial Theory. Series B 1 Journal of Geometry 1 Journal of Optimization Theory and Applications 1 Journal of Pure and Applied Algebra 1 Mathematika 1 Proceedings of the Japan Academy. Series A 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Tohoku Mathematical Journal. Second Series 1 Ergodic Theory and Dynamical Systems 1 Combinatorica 1 Physica D 1 Journal of the Ramanujan Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Journal of Global Optimization 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Tatra Mountains Mathematical Publications 1 Journal of Algebraic Geometry 1 Journal of Mathematical Sciences (New York) 1 The New York Journal of Mathematics 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Doklady Mathematics 1 The Ramanujan Journal 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Stochastics and Dynamics 1 Central European Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Advances in Difference Equations 1 Chebyshevskiĭ Sbornik 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 BSHM Bulletin 1 Mathematics in Computer Science 1 Algebra & Number Theory 1 JSIAM Letters 1 Journal of Complex Analysis ...and 3 more Serials
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### Cited in 56 Fields

 180 Number theory (11-XX) 180 Algebraic geometry (14-XX) 104 Harmonic analysis on Euclidean spaces (42-XX) 69 Approximations and expansions (41-XX) 39 Dynamical systems and ergodic theory (37-XX) 28 Functional analysis (46-XX) 26 Functions of a complex variable (30-XX) 18 Information and communication theory, circuits (94-XX) 16 Partial differential equations (35-XX) 15 Real functions (26-XX) 15 Sequences, series, summability (40-XX) 13 Group theory and generalizations (20-XX) 13 Operator theory (47-XX) 12 Ordinary differential equations (34-XX) 10 Field theory and polynomials (12-XX) 8 Nonassociative rings and algebras (17-XX) 7 Mathematical logic and foundations (03-XX) 7 Combinatorics (05-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Numerical analysis (65-XX) 6 History and biography (01-XX) 6 Topological groups, Lie groups (22-XX) 6 Manifolds and cell complexes (57-XX) 5 Commutative algebra (13-XX) 5 Potential theory (31-XX) 5 Probability theory and stochastic processes (60-XX) 5 Mechanics of deformable solids (74-XX) 5 Operations research, mathematical programming (90-XX) 4 Associative rings and algebras (16-XX) 4 General topology (54-XX) 4 Fluid mechanics (76-XX) 3 General algebraic systems (08-XX) 3 Measure and integration (28-XX) 3 Special functions (33-XX) 3 Integral equations (45-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Differential geometry (53-XX) 3 Computer science (68-XX) 3 Systems theory; control (93-XX) 2 Abstract harmonic analysis (43-XX) 2 Geometry (51-XX) 2 Mechanics of particles and systems (70-XX) 2 Quantum theory (81-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

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