Email: stf32 (at) cam (dot) ac (dot) uk
Some of my code is available on my GitHub.
Hi, I am a PhD student at the University of Cambridge. My supervisor is Tom Fisher.
I am originally from New Zealand and am currently funded by a Woolf Fisher Scholarship.
My research interests are in arithmetic geometry and number theory, including computational aspects.
An algorithm for efficient detection of (N,N)-splittings and its application to the isogeny problem in dimension 2,
joint with Maria Corte-Real Santos and Craig Costello,
preprint. [Abstract] [ePrint] [Code]
On 12-congruences of elliptic curves,
preprint. [Abstract] [arXiv] [Code]
Congruences of elliptic curves arising from non-surjective mod N Galois representations,
Mathematics of Computation 92 (2023), no. 339, 409-450. [Abstract] [arXiv] [Code]
MR 4496970, Zbl 07603636, DOI 10.1090/mcom/3770
N-congruences between quadratic twists of elliptic curves,
YRANT, August 2021. [Slides]
ℓ-adic Galois representations and Weil-Deligne representations,
my talk from this reading group on automorphy lifting theorems. [Slides]
If you've seen me talk and there were no slides, send me an email and I can give you the notes I was working off.
Bhargava's proof of van der Waerden's conjecture,
Michaelmas 2022. [Schedule]
~/.global_spec spec file, followed by adding the command export MAGMA_USER_SPEC="~/.global_spec" to your .bashrc file.