I'm currently a teaching fellow at the University of Warwick. From October, I will be an EPSRC Mathematical Sciences Postdoctoral Fellow at the University of Warwick. I completed my PhD at the University of Sheffield in 2024, under the supervision of Dr. Frazer Jarvis.

I'm interested in the local and global arithmetic of curves, rational points on curves, arithmetic statistics, computational number theory, and the explicit resolution of Diophantine equations.

I am co-organising the Warwick Number Theory Seminar this year (26-27).

Email: Firstname.Surname@warwick.ac.uk

Github: github.com/MaleehaKhawaja

Publications

On the unit equation ε + δ = n in cubic fields. With Siksek. Submitted. arXiv.
Primitive points on some low degree Fermat curves. Submitted. arXiv.
New algebraic points on curves. With Siksek. Submitted. arXiv.
Conductor exponents for families of hyperelliptic curves. With Azon, Curcó-Iranzo, Maistret, and Mocanu. To appear in Journal de Théorie des Nombres de Bordeaux. arXiv.
The modular approach to Diophantine equations over totally real fields. With Siksek. To appear in Contemporary Mathematics. 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). link. arXiv.

Thesis

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

Invited Talks

Low Degree Points on Curves: Oxford Number Theory Seminar (Nov 26), Sheffield Number Theory Seminar (May 26), London Number Theory Seminar (Feb 26), Heilbronn Number Theory Seminar, Bristol (Jan 26)

Galois groups of low degree points on curves: Cambridge Number Theory Seminar (March 25), Würzburg Number Theory Seminar (Oct 24), Warwick Number Theory Seminar (Oct 24)

Primitive algebraic points on curves: Zagreb Number Theory Seminar (May 24), Manchester Number Theory Seminar (Oct 23), Northern Number Theory Seminar, University of Sheffield (Sept 23), Arithmetic Geometry Workshop, Trinity College Dublin (June 23)

International Women in Mathematics Day celebration, University of Sheffield (May 23)

The Fermat equation over real biquadratic fields: Nottingham Number Theory Seminar (March 23), Warwick Junior Number Theory Seminar (Jan 23), Bristol Linfoot Number Theory Seminar (Oct 22)

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Maleeha Khawaja

Publications

Invited Talks