We establish Large Galois orbits conjectures for points of unlikely intersections of curves in Y(1)ⁿ, upon assumptions on the intersection of such curves with the boundary X(1)ⁿ Y(1)ⁿ, in the Zilber-Pink setting. As a corollary, building on work of Habegger-Pila and Daw-Orr, we obtain new cases of the Zilber-Pink conjecture for curves in Y(1)ⁿ.
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Georgios Papas (2024) studied this question.
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