  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-type
statements for such curves depending on their intersection with the boundary of
the Baily-Borel compactification of $\mathcal{A}_g$. For example, when our
curve 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 the
corresponding Jacobian variety is non-simple.
  These results follow as a special case of height bounds for exceptional
points in $1$-parameter variations of geometric Hodge structures via Andr\'e's
G-functions method, which we extend here to the setting of such variations of
odd weight.
