Maleeha Khawaja

I am currently on the job market. From October 2020 - April 2024, I was a PhD student at the University of Sheffield under the supervision of Dr. Frazer Jarvis. I passed my viva in July 2024. From May 2024 - September 2024, I was a Research Associate at the University of Bristol working with Dr. Céline Maistret.

My interests lie in the local and global arithmetic of curves, rational points on curves, computational number theory, and the explicit resolution of Diophantine equations.

My CV is available on request.

Email: FirstnameSurname@hotmail.com

Github: github.com/MaleehaKhawaja

Publications

Conductor exponents for families of hyperelliptic curves.

With Azon, Curcó-Iranzo, Maistret, and Mocanu.

Submitted. arXiv.

The modular approach to Diophantine equations over totally real fields.

With Siksek.

Submitted. arXiv.

A single source theorem for primitive points on curves.

With Siksek.

Forum of Mathematics, Sigma 13: e6 (2025). link. arXiv.

On perfect powers that are sums of cubes of a nine term arithmetic progression.

With Coppola, Curcó-Iranzo, Patel, and Ülkem.

Indagationes Mathematicae 35, 3 (2024). link. arXiv.

Primitive algebraic points on curves.

With Siksek.

Research in Number Theory 10, 57 (2024). link. arXiv.

Torsion primes for elliptic curves over degree 8 number fields.

Research in Number Theory 10, 48 (2024). link. arXiv.

Power values of power sums: a survey.

With Coppola, Curcó-Iranzo, Patel, and Ülkem.

Women in Numbers Europe IV: Research Directions in Number Theory, 155-193. link. arXiv.

Fermat's Last Theorem over Q(√2,√3).

With Jarvis.

Algebra & Number Theory 19, 3 (2025). arXiv.

Primitive algebraic points on curves, PhD thesis, University of Sheffield (2024). link.

Invited Talks

Galois groups of low degree points on curves.

University of Cambridge Number Theory Seminar (March 2025)
University of Würzburg Number Theory Seminar (October 2024)
University of Warwick Number Theory Seminar (October 2024)

Primitive algebraic points on curves.

University of Zagreb Number Theory Seminar (May 2024)
University of Manchester Number Theory Seminar (October 2023)
Northern Number Theory Seminar, University of Sheffield (September 2023)
Arithmetic Geometry Workshop, Trinity College Dublin (June 2023)

International Women in Mathematics Day celebration, University of Sheffield (May 2023)

The Fermat equation over real biquadratic fields.

University of Nottingham Number Theory Seminar (March 2023)
University of Warwick Junior Number Theory Seminar (January 2023)
University of Bristol Linfoot Number Theory Seminar (October 2022)

A uniform approach to Diophantine equations, Women In Numbers Europe 4, Universiteit Utrecht (with Nirvana Coppola, Mar Curcó-Iranzo and Özge Ülkem, September 2022)