My interests lie in number theory. I enjoy working on elliptic curves and higher genus curves over finite fields, particularly on constructing curves with many rational points. I am also interested in the growth of Mordell–Weil ranks of non-split Cartan modular curves.
Preprints/Publications
Maximal curve of genus 5 over finite fields
Joint work with Leolin Nkuete, Hamide Suluyer, Rabia Gülşah Uysal
PreprintOne formal result for torsion and arboreal representations of commutative algebraic groups
Joint work with Antonella Perucca
PreprintKneser theory and the entanglement of radicals
Joint work with Chi Wa (Clifford) Chan, Antonella Perucca, and Flavio Perissinotto
PreprintGalois groups of Kummer extensions of number fields
Joint work with Bryan Advocaat, Chi Wa (Clifford) Chan, Flavio Perissinotto, Antonella Perucca
Accepted for publication in Publications Mathématiques de Besançon, Algèbre et Théorie des NombresThe greatest common divisor of orders of reductions of an elliptic curve over Q
Joint work with Mohammad Sadek
PreprintDivisibility of orders of reductions of elliptic curves
Joint work with Mohammad Sadek
Expositiones Mathematicae, Volume 43, Issue 4 (2025), Article 125679, 18 pp