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I'm currently a teaching fellow at the University of Warwick. I completed my PhD at the University of Sheffield in 2024, under the supervision of Dr. Frazer Jarvis.
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: Firstname.Surname@warwick.ac.uk
Github: github.com/MaleehaKhawaja
Publications
Publications
New algebraic points on curves.
With Siksek.
Submitted. arXiv.
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). link. arXiv.
Primitive algebraic points on curves, PhD thesis, University of Sheffield (2024). link.
Invited Talks
Invited Talks
Low Degree Points on Curves: Heilbronn Number Theory Seminar, University of Bristol (Jan 26)
Galois groups of low degree points on curves: University of Cambridge Number Theory Seminar (March 25), University of Würzburg Number Theory Seminar (Oct 24), University of Warwick Number Theory Seminar (Oct 24)
Primitive algebraic points on curves: University of Zagreb Number Theory Seminar (May 24) , University of 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: University of Nottingham Number Theory Seminar (March 23), University of Warwick Junior Number Theory Seminar (Jan 23), University of Bristol Linfoot Number Theory Seminar (Oct 22)
A uniform approach to Diophantine equations, Women In Numbers Europe 4, Universiteit Utrecht (with Nirvana Coppola, Mar Curcó-Iranzo and Özge Ülkem, Sept 22)
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