Y. Lam

activity

20242026

collaborators

7 papers

math.AG2026

Murphy's law in non-abelian Hodge theory

Gregorio Baldi, Yeuk Hay Joshua Lam

We construct explicit examples of non-integral variations of $Q$ -Hodge structures. Our approach leverages Fenchel--Nielsen-type parameterizations, due to Kabaya and Maskit…

math.AG2026

p-Curvature and Non-Abelian Cohomology

Yeuk Hay Joshua Lam, Daniel Litt

Let $X \to S$ be a smooth projective morphism. Katz proved the Grothendieck-Katz $p$ -curvature conjecture for the Gauss-Manin connection on the $i$ -th cohomology of $X / S$ : if its $p…

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.AG2025

Local systems which do not come from abelian varieties

Paul Brommer-Wierig, Yeuk Hay Joshua Lam

For each smooth curve over a finite field, after puncturing it at finitely many points, we construct local systems on it of geometric origin which do not come from a family of abel…

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…