Matthew Stover

collaborators

4 papers

math.GT2026

Cocompact Fuchsian groups with a modular embedding

Matthew Stover

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

math.GT2025

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.AG2025

Cohomological nonvanishing for algebraic fundamental groups of ball quotients

Matthew Stover

Suppose $I^ < PU (n, 1)$ is a cocompact arithmetic lattice of simplest type with profinite completion $I^$ . This paper proves there is an open subgroup $\widehatÎ_0…

math.GR2025

Residual finiteness and discrete subgroups of Lie groups

Matthew Stover

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