Prof. Victor Flynn

PhD (Cambridge).

Status

Academic Faculty

Contact form

http://people.maths.ox.ac.uk/flynn/

+44 1865 273549

ORCID iD

https://orcid.org/0000-0002-3340-8868

Research groups

Number Theory

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Highlighted publications

Cycles of covers

Flynn, E Wunderle, J Monatshefte fur Mathematik volume 157 issue 3 217-232 (01 Jul 2009)

Homogeneous spaces and degree 4 del Pezzo surfaces

Flynn, E Manuscripta Mathematica volume 129 issue 3 369-380 (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 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)

Arbitrarily large Tate–Shafarevich group on Abelian surfaces

Flynn, E Journal of Number Theory volume 186 148-258 (16 Nov 2017)

Descent via (5,5)-isogeny on Jacobians of genus 2 curves

Flynn, E JOURNAL OF NUMBER THEORY volume 153 270-282 (Aug 2015) http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000353002200013&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e

Tight frames for cyclotomic fields and other rational vector spaces

Chien, T Flynn, V Waldron, S LINEAR ALGEBRA AND ITS APPLICATIONS volume 476 98-123 (01 Jul 2015) http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000355373000007&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=4fd6f7d59a501f9b8bac2be37914c43e