Lam L. Pham

activity

20192026

collaborators

4 papers

math.AG2026

Small degree isogenies between conjugate principally polarized superspecial abelian surfaces

Lam L. Pham

Let $p > 3$ be a prime number. We prove that every principally polarized superspecial abelian surface over $F_{p^{2}}$ with $p^{2}$ -Frobenius $[- p]$ admits a separable polar…

math.GT2022

Bottom of the Length Spectrum of Arithmetic Orbifolds

Mikolaj Fraczyk, Lam L. Pham

We prove that cocompact arithmetic lattices in a simple Lie group are uniformly discrete if and only if the Salem numbers are uniformly bounded away from $1$ . We also prove an anal…

math.GR2020

Arithmetic Groups and the Lehmer Conjecture

Lam Pham, François Thilmany

We generalize a result of Sury and prove that uniform discreteness of cocompact lattices in higher rank semisimple Lie groups (first conjectured by Margulis) is equivalent to a wea…

math.GR2019

Logarithmic bounds for the diameters of some Cayley graphs

Lam Pham, Xin Zhang

Let $S \subset GL_{n} (Z)$ be a finite symmetric set. We show that if the Zariski closure of $Γ = ⟨ S ⟩$ is a product of $SL_{d}$ or a special affine linear…