Papers and preprints

•  "Revisiting the equation x^2+y^3=z^p" joint with Nuno Freitas, Ignasi Sanchez-Rodriguez, submitted (arXiv)

•  "Local points on twists of X(p) with applications" joint with Nuno Freitas, submitted (arXiv)

•  "Weil polynomials of abelian varieties over finite fields" joint with Michael Cherchia, Zeyu Liu, Haodong Yao, Jing Ye, submitted (arXiv)

•  "Conductor exponents for families of hyperelliptic curves" joint with Martin Azon, Mar Curcó-Iranzo, Maleeha Khawaja, Céline Maistret, submitted (arXiv)

•  "Non-trivial integer solutions to x^r+y^r=Dz^p" joint with Yasemin Kara and Ekin Özman, Indagationes Mathematicae, 2025 (link)(arXiv)

• "Asymptotic Fermat for signatures (r, r, p) using the modular approach", Research in Number Theory, Volume 9, Issue 4, Article Number 71, 2023 (link)(arXiv)

•  "Asymptotic Fermat for signatures (p,p,2) and (p,p,3) over totally real fields", Mathematika, Volume 68, Issue 4, Pages 1233-1257, 2022 (link)(arXiv)

PhD Thesis

• "Diophantine Problems using the modular approach", PhD thesis supervised by Prof. Samir Siksek, University of Warwick, September 2024.