Research Interests:
Number Theory, Arithmetic Geometry. In particular, arithmetic problems on Abelian varieties, such as Jacobians of curves; properties of the Shafarevich-Tate group, visualisation, and the Brauer-Manin obstruction.
Recent Publications (from MathSciNet):
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MR2880245 Reviewed Flynn, E. Victor; Testa, Damiano; van Luijk, Ronald Two-coverings of Jacobians of curves of genus 2.
Proc. Lond. Math. Soc. (3) 104 (2012), no. 2, 387–429. (Reviewer: Joseph H. Silverman) 11G30 (11G10 14H25 14H40)
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MR2537700 Reviewed Arnth-Jensen, Anna; Flynn, E. Victor Non-trivial \cyr Sh in the Jacobian of an infinite family of curves
of genus 2.
J. Théor. Nombres Bordeaux 21 (2009), no. 1, 1–13. (Reviewer: Joseph H. Silverman) 11G30 (11G10 14G25 14K15)
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MR2520725 Reviewed Flynn, E. V.; Wunderle, J. Cycles of covers.
Monatsh. Math. 157 (2009), no. 3, 217–232. (Reviewer: Pavlos Tzermias) 11G30 (14H40)
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MR2515488 Reviewed Flynn, E. V. Homogeneous spaces and degree 4 del Pezzo surfaces.
Manuscripta Math. 129 (2009), no. 3, 369–380. (Reviewer: Jordi Guàrdia) 11G30 (11G10 14J20 14J26)
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MR2507624 Reviewed Harari, David; Szamuely, Tamás Galois sections for abelianized fundamental groups.
With an appendix by E. V. Flynn.
Math. Ann. 344 (2009), no. 4, 779–800. 14G32 (14H25)
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MR2402033 Reviewed Flynn, E. V.; Grattoni, C. Descent via isogeny on elliptic curves with large rational torsion
subgroups.
J. Symbolic Comput. 43 (2008), no. 4, 293–303. (Reviewer: Joseph H. Silverman) 11G05 (11Y50)
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MR2342713 Reviewed Bright, M. J.; Bruin, N.; Flynn, E. V.; Logan, A. The Brauer-Manin obstruction and \cyr Sh[2].
LMS J. Comput. Math. 10 (2007), 354–377 (electronic). (Reviewer: Cristian D. González-Avilés) 11G35 (14F22 14J26)
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MR2281405 Reviewed Bruin, Nils; Flynn, E. Victor; González, Josep; Rotger, Victor On finiteness conjectures for endomorphism algebras of abelian
surfaces.
Math. Proc. Cambridge Philos. Soc. 141 (2006), no. 3, 383–408. (Reviewer: Ulrich Görtz) 14K15 (11G18 14G35 14K10)
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MR2225283 Reviewed Bruin, N.; Flynn, E. V. Exhibiting SHA[2] on hyperelliptic Jacobians.
J. Number Theory 118 (2006), no. 2, 266–291. (Reviewer: Bjorn Poonen) 11G30 (11G10)
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MR2156713 Reviewed Bruin, Nils; Flynn, E. Victor Towers of 2-covers of hyperelliptic curves.
Trans. Amer. Math. Soc. 357 (2005), no. 11, 4329–4347. (Reviewer: Jordi Guàrdia) 11G30
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