Research Interests

  My current research is primarily focused on the realm of Algebraic and Arithmetic Dynamics. This field delves into the study of dynamical systems that are defined over algebraic geometry objects, with many questions rooted in number theory and arithmetic geometry. Specifically, my interests lie in answering various questions surrounding orbit intersections and the rational points within orbits.

My works encompass several areas:

• Characterizing the intersections of orbits with subvarieties: arXiv:2202.01673 

• Unlikely intersections of orbits: arXiv: 2405.15104 and arXiv:2412.15141 

• Counting rational points in the forward orbits of a semigroup of maps: arXiv: 2305.04960 

• Stabilization of the set of rational points in the backward orbits: arXiv: 2302.01208 and arXiv: 2311.04349