130 citations · 130 across the 4 of their papers we have counts for
4 papers
Fermat's Last Theorem over
Maleeha Khawaja, Frazer Jarvis
In this paper, we begin the study of the Fermat equation over real biquadratic fields. In particular, we prove that there are no non-trivial solutions to the Fermat e…
Supercongruences for the Catalan-Larcombe-French numbers
Frazer Jarvis, Helena Verrill
We develop the Stienstra-Beukers theory of supercongruences in the setting of the Catalan-Larcombe-French sequence. We also give some applications to other sequences.
On Serre's conjecture for mod l Galois representations over totally real fields
Kevin Buzzard, Fred Diamond, Frazer Jarvis
In 1987 Serre conjectured that any mod l ("ell", not "1") two-dimensional irreducible odd representation of the absolute Galois group of the rationals came from a modular form in a…
On the modularity of supersingular elliptic curves over certain totally real number fields
Frazer Jarvis, Jayanta Manoharmayum
We study generalisations to totally real fields of methods originating with Wiles and Taylor-Wiles. In view of the results of Skinner-Wiles on elliptic curves with ordinary reducti…