Matthew Stover

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20242026

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3 papers · 1 filter

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.GT2024

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 $I^ < PU (2, 1)$ such that the ball quotient $I^\ B^{2}$ is birational to a produ…