Ax-Lindemann for $\mathcal{A}_g$

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Ax–Schanuel for the $j$-function (2014, background): “We remark that the corresponding statement for the André-Oort conjecture (“A subvariety W ⊂ Y (1)n contains only finitely many strongly special subvarieties”) follows in a similar way from the Ax-Lindemann theorem for Y (1)n in [20], though this was not highlighted there.”
On the distribution of the Hodge locus (2021, unknown): “This is explained in [60, Theorem 5.1] and in [49, Theorem 1.3].”
Applications of the hyperbolic Ax–Schanuel conjecture (2017, result): “Here, we simply recall that it was recently settled for Ag by Pila and Tsimerman [30, 36], thanks to recent progress on the Colmez conjecture due to Andreatta, Goren, Howard, Madapusi Pera [1] and Yuan and Zhang [46], and it is known to hold for all Shimura varieties under conjectural lower bounds f”