Negin Shadgar

collaborators

2 papers

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…