Diophantine equations over totally real fields

Lead Research Organisation: University of Sheffield
Department Name: Mathematics and Statistics

Abstract

Recent work of Freitas, Kraus and Siksek establishes very substantial generalisations of the supervisor's old work on Fermat's Last Theorem over real quadratic fields to much more general totally real fields. This project continues this study, intending to consider the Fermat equation fairly systematically over real biquadratic fields (totally real quartic fields got by adjoining two square roots to the rationals).

Publications

10 25 50

Studentship Projects

Project Reference Relationship Related To Start End Student Name
EP/R513313/1 01/10/2018 30/09/2023
2485356 Studentship EP/R513313/1 26/10/2020 25/04/2024 Maleeha Khawaja
EP/T517835/1 01/10/2020 30/09/2025
2485356 Studentship EP/T517835/1 26/10/2020 25/04/2024 Maleeha Khawaja