Research

My main research interests lie in arithmetic geometry, which can be described as the overlap of number theory and algebraic geometry. 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.

I am currently doing my PhD under the supervision of Dr. Daniel Loughran at the University of Bath. During my first year of PhD, I am investigating the Brauer groups of some classes of smooth surfaces over the rational numbers.  In particular, I have been studying the Brauer groups of smooth affine cubic surfaces that are complements of hyperplane sections of smooth projective cubic surfaces, and the Brauer groups of certain classes of regular conic bundles over elliptic curves. 

Preprints

On the Finiteness of Perfect Powers in Elliptic Divisibility Sequences, Journal de Théorie des Nombres de Bordeaux, to appear [arXiv:2112.09758].