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SamFrengley/README.md

Hi, I am a postdoc at the University of Bristol. Previously I was a PhD student at the University of Cambridge.

My research interests are in arithmetic geometry and number theory, particularly computational aspects.

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  1. exceptional-tate-classes exceptional-tate-classes Public

    Code related to the paper "Galois groups of simple abelian varieties over finite fields and exceptional Tate classes"

    Mathematica

  2. humbert humbert Public

    Code associated to the article "On the geometry of the Humbert surface of square discriminant"

    Python

  3. sha-7-examples sha-7-examples Public

    Code accompanying the paper "Explicit 7-torsion in the Tate-Shafarevich groups of genus 2 Jacobians" by Sam Frengley

    MATLAB

  4. genus-2-RM genus-2-RM Public

    This repository contains code related to the paper "Generic models for genus 2 curves with real multiplication" by Alex Cowan, Sam Frengley, and Kimball Martin

    M 1

  5. quadratic-twist-type-congruences quadratic-twist-type-congruences Public

    Code related to the paper "Congruences of elliptic curves arising from non-surjective mod N Galois representations"

    MATLAB 1

  6. 12-congruences 12-congruences Public

    Code related to the paper "On 12-congruences of elliptic curves"

    MATLAB 1