My main research interests lie in arithmetic geometry, which can be described as the overlap of number theory and algebraic geometry. I am currently doing my PhD under the supervision of Dr. Daniel Loughran at the University of Bath. My main project is on counting points of bounded height in equivariant compactifications of forms of vectors groups over global function fields. I am also investigating the Brauer groups of some classes of (affine) smooth surfaces. In particular, I have been studying the Brauer groups of smooth affine cubic surfaces that are complements of singular hyperplane sections of smooth projective cubic surfaces, and the Brauer groups of certain classes of regular conic bundles over elliptic curves.
My master's project at the University of Warwick, which was supervised by Prof. Samir Siksek, was about applying the so-called modular approach to study some Diophantine problems. In particular, we studied the finiteness of perfect powers in elliptic divisibility sequences coming from special classes of elliptic curves.
5. Manin's conjecture for equivariant compactifications of forms of additive groups. (2025), submitted. [arxiv:2505.04562]
4. Brauer groups of certain affine cubic surfaces. (2025). [arXiv:2509.16042]
3. Brauer groups of conic bundles over elliptic curves. (2025). [arXiv:2509.16051]
2. Separation axioms for X-top lattices (with J. Abuhlail). (2025)
1. On the finiteness of perfect powers in elliptic divisibility sequences, Journal de Théorie des Nombres de Bordeaux 35(1) (2023), 247-258. [arXiv:2112.09758].