Prof. Victor Flynn
PhD (Cambridge).
Status
Academic Faculty
Research groups
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Highlighted publications
Homogeneous spaces and degree 4 del Pezzo surfaces
Flynn, E Manuscripta Mathematica volume 129 issue 3 369-380 (01 Jul 2009) Cycles of covers
Flynn, E Wunderle, J Monatshefte fur Mathematik volume 157 issue 3 217-232 (01 Jul 2009) Two-coverings of Jacobians of curves of genus two
Flynn, E Testa, D Luijk, R (08 May 2009) http://arxiv.org/abs/0905.1242v1 Nontrivial Sha in the Jacobian of an Infinite Family of Curves of Genus 2.
Arnth-Jensen, A Flynn, E J. Theor. Nombres Bordeaux volume 21 1-9 (01 Apr 2009) Descent via isogeny on elliptic curves with large rational torsion subgroups
Flynn, E Grattoni, C Journal of Symbolic Computation volume 43 issue 4 293-303 (01 Apr 2008) 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
Arbitrarily large p-torsion in Tate-Shafarevich groups
Flynn, E Shnidman, A Journal of the Institute of Mathematics of Jussieu (12 Nov 2024) Isogenies on Kummer surfaces
Corte-Real Santos, M Flynn, E Mathematics of Computation (07 Nov 2024) Genus two curves with full √3-level structure and Tate-Shafarevich groups
Bruin, N Flynn, E Shnidman, A Selecta Mathematica volume 29 issue 3 (19 May 2023) Arbitrarily large 2-torsion in Tate-Shafarevich groups of Abelian varieties
Flynn, E Acta Arithmetica volume 191 101-114 (05 Sep 2019) Genus two isogeny cryptography
Flynn, E Ti, Y PQCrypto 2019: Post-Quantum Cryptography volume 11505 286-306 (14 Jul 2019)