Matthew Stover

activity

20052025

collaborators

6 papers

math.AG2025

Cohomological nonvanishing for algebraic fundamental groups of ball quotients

Matthew Stover

Suppose $Γ < PU (n, 1)$ is a cocompact arithmetic lattice of simplest type with profinite completion $Γ$ . This paper proves there is an open subgroup $\widehatΓ_0 \le…

math.GT2025

Cocompact Fuchsian groups with a modular embedding

Matthew Stover

A Fuchsian group $Γ$ has a modular embedding if its adjoint trace field is a totally real number field and every unbounded Galois conjugate $Γ^{σ}$ comes equipped with a holomorphic…

math.GT2024

One-cusped complex hyperbolic 2-manifolds

Martin Deraux, Matthew Stover

This paper builds one-cusped complex hyperbolic $2$ -manifolds by an explicit geometric construction. Specifically, for each odd $d \geq 1$ there is a smooth projective surface $Z_{d}$ …

math.GR2024

Residual finiteness and discrete subgroups of Lie groups

Matthew Stover

Let $G$ be a real Lie group and $Γ < G$ be a discrete subgroup of $G$ . Is $Γ$ residually finite? This paper describes known positive and negative results then poses some questions w…

math.GT2023

Products of curves as ball quotients

Matthew Stover

For any $g_{1}, g_{2} \geq 0$ , this paper shows that there is a cocompact lattice $Γ < PU (2, 1)$ such that the ball quotient $Γ\ B^{2}$ is birational to a product…

math.GT2005

Property (FA) and lattices in SU(2,1)

Matthew Stover

In this paper we consider Property (FA) for lattices in SU(2,1). First, we prove that SU(2,1;O_3) has Property (FA). We then prove that the arithmetic lattices in SU(2,1) of second…