Negin Shadgar

works on

arithmetic dynamics 1 number fields 1 orbit intersection 1 polynomial iteration 1 preperiodic points 1

From the 1 of 2 linked papers with an AI index.

collaborators

2 papers

math.NT2026

Collision of Orbits for Families of Polynomials Defined over Number Fields

Dragos Ghioca, Negin Shadgar

The paper determines exactly when two non‑preperiodic points in a parametrized family of degree‑d polynomials over number fields can have iterates that coincide with a third point…

math.NT2026

Collision of Orbits on an Elliptic Surface

Dragos Ghioca, Negin Shadgar

Let $C$ be a smooth projective curve defined over $\Qbar$, let $Ï:\mathcal{E}\lra C$ be an elliptic surface and let $I ¨ _{P_{1}}, I ¨ _{P_{2}}, I ¨ _{Q}$ be sections of $I ¨ $ (corresponding t…