Roy Zhao

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math.NT2024

Algebraic Independence of Special Points on Shimura Varieties

Yu Fu, Roy Zhao

Given a correspondence $V$ between a connected Shimura variety $S$ , a commutative connected algebraic group $G$ , and $n \in N$ , we prove that the $V$ -images of any $n$ spe…

math.NT2023

Heights of Special Points on Quaternionic Shimura Varieties

Roy Zhao

Let $B / F$ be a quaternion algebra over a totally real number field. We give an explicit formula for heights of special points on the quaternionic Shimura variety associated with $B…