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Consider a smooth irreducible Hodge generic curve $S$ defined over $\bar{\Q}$in the Torelli locus $T_g\subset \mathcal{A}_g$. We establish Zilber-Pink-typestatements for such curves depending on their intersection with the boundary ofthe Baily-Borel compactification of $\mathcal{A}_g$. For example, when ourcurve intersects the $0$-dimensional stratum of this boundary and $g$ is odd,we show that there are only finitely many points in the curve for which thecorresponding Jacobian variety is non-simple.  These results follow as a special case of height bounds for exceptionalpoints in $1$-parameter variations of geometric Hodge structures via Andr\'e'sG-functions method, which we extend here to the setting of such variations ofodd weight.

Unlikely intersections in the Torelli locus and the G-functions method