D. Ghioca

activity

20042026

most citedThe dynamical Mordell-Lang problem for etale maps

63 citations · 371 across the 78 of their papers we have counts for

collaborators

98 papers

math.AG2026

Covering plane curves over finite fields with lines

Shamil Asgarli, Sarthak Dassarma, Dragos Ghioca +2

We prove that, for every fixed $d \geq 2$ and $ε > 0$ , the $F_{q}$ -points of a geometrically irreducible reflexive plane curve of degree $d$ over $F_{q}$ can b…

math.LO2026

Finding suitably generic points on curves with an application to the construction of rigid real closed fields

Dragos Ghioca, David Marker, Charles Steinhorn

Let $K$ be an algebraically closed field of characteristic 0 and transcendence degree at least 2. Let $C \subset K^{2}$ be an irreducible curve defined over $K$ but not defined over t…

math.NT2026

Collision of Orbits for Families of Polynomials Defined over Number Fields

Dragos Ghioca, Negin Shadgar

Let $d \geq 2$ be an integer and let $c_{0} (t), \dots, c_{d - 2} (t) \in Q ˉ [t]$ . We consider the family of normalized polynomials $f_{λ} (z) := z^{d} + \sum_{i = 0}^{d - 2} c_{i} (λ) \cdot z^{i}$ …

math.NT2026

Collision of Orbits on an Elliptic Surface

Dragos Ghioca, Negin Shadgar

Let $C$ be a smooth projective curve defined over $\Qbar$, let $π:\mathcal{E}\lra C$ be an elliptic surface and let $σ_{P_{1}}, σ_{P_{2}}, σ_{Q}$ be sections of $π$ (corresponding to poi…

math.AG2025

Blocking sets from a union of plane curves

Shamil Asgarli, Dragos Ghioca, Chi Hoi Yip

Motivated by a question of Erdős on blocking sets in a projective plane that intersect every line only a few times, several authors have used unions of algebraic curves to construc…

math.NT2025

Collision of orbits for families of polynomials defined over fields of positive characteristic

Shamil Asgarli, Dragos Ghioca

Let $L$ be a field of positive characteristic $p$ with a fixed algebraic closure $L$ , and let $α_{1}, α_{2}, β \in L$ . For an integer $d \geq 2$ , we consider the family of polyno…