1 citations · 1 across the 11 of their papers we have counts for
11 papers
On the unit equation in cubic fields
Maleeha Khawaja, Samir Siksek
Let be an integer not equal to , or . We consider the unit equation in units of cubic fields. We show that this equation has no…
Primitive points on some low degree Fermat curves
Maleeha Khawaja
Let be an integer. Let be the Fermat curve defined by the Fermat equation . For a curve , we say an algebraic point $P\in C(\bar{\mathbb{…
New Algebraic Points on Curves
Maleeha Khawaja, Samir Siksek
Let be a smooth projective absolutely irreducible curve of genus at least 2, defined over the rationals. For a number field , we define the set of -new points on to b…
Conductor exponents for families of hyperelliptic curves
Martin Azon, Mar Curcó-Iranzo, Maleeha Khawaja +2
We compute the conductor exponents at odd places using the machinery of cluster pictures of curves for three infinite families of hyperelliptic curves. These are families of Frey h…
The modular approach to Diophantine equations over totally real fields
Maleeha Khawaja, Samir Siksek
Wiles' proof of Fermat's last theorem initiated a powerful new approach towards the resolution of certain Diophantine equations over . Numerous novel obstacles arise wh…
A single source theorem for primitive points on curves
Maleeha Khawaja, Samir Siksek
Let be a curve defined over a number field and write for the genus of and for the Jacobian of . Let . We say that an algebraic point $P \in C(\overl…