Y. Lam

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20242026

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math.NT2025

A characteristic p analogue of the AndrÃ©--Pink--Zannier conjecture

Yeuk Hay Joshua Lam, Ananth N. Shankar

We investigate the analogue of the AndrÃ©--Pink--Zannier conjecture in characteristic $p$ . Precisely, we prove it for ordinary function field-valued points with big monodromy, in S…

math.NT2025

On Siegel's problem and Dwork's conjecture for $G$ -functions

Javier FresÃ¡n, Yeuk Hay Joshua Lam, Yichen Qin

We answer in the negative Siegel's problem for $G$ -functions, as formulated by Fischler and Rivoal. Roughly, we prove that there are $G$ -functions that cannot be written as polynom…

math.NT2024

Boundedness of trace fields of rank two local systems

Yeuk Hay Joshua Lam

Let $p$ be a fixed prime number, and $q$ a power of $p$ . For any curve over $F_{q}$ and any local system on it, we have a number field generated by the traces of Frobenii at…

A characteristic p analogue of the AndrÃ©--Pink--Zannier conjecture

On Siegel's problem and Dwork's conjecture for G-functions

Boundedness of trace fields of rank two local systems

On Siegel's problem and Dwork's conjecture for $G$ -functions