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 on the rational points 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
  Preprint

• One formal result for torsion and arboreal representations of commutative algebraic groups
  Joint work with Antonella Perucca
  Submitted

• Kneser theory and the entanglement of radicals
  Joint work with Chi Wa (Clifford) Chan, Antonella Perucca, and Flavio Perissinotto
  Submitted

• Galois 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 Nombres

• The greatest common divisor of orders of reductions of an elliptic curve over Q
  Joint work with Mohammad Sadek
  Submitted

• Divisibility of orders of reductions of elliptic curves
  Joint work with Mohammad Sadek
  Expositiones Mathematicae, Volume 43, Issue 4 (2025), Article 125679, 18 pp