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math.NT2022
Motivic local systems on curves and Maeda's conjecture
Yeuk Hay Joshua Lam
We show that only finitely many complex genus two curves and four punctured spheres admit rank two local systems of geometric origin, and moreover each carries finitely many. This…
math.NT2021
Finiteness of reductions of Hecke orbits
Mark Kisin, Yeuk Hay Joshua Lam, Ananth N. Shankar +1
We prove two finiteness results for reductions of Hecke orbits of abelian varieties over local fields: one in the case of supersingular reduction and one in the case of reductive m…
math.NT2020★ 1 cited
The Attractor Conjecture for Calabi-Yau variations of Hodge structures
Yeuk Hay Joshua Lam
We study attractor points for Calabi-Yau variations of Hodge structures. In particular, for certain moduli spaces which are Shimura varieties, we prove that the attractor points ar…