Matthew Stover

activity

20152020

most citedGeodesic curves on Shimura surfaces

6 citations · 10 across the 2 of their papers we have counts for

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4 papers · 1 filter

math.GT2019★ 4 cited

Congruence RFRS towers

Ian Agol, Matthew Stover

We describe a criterion for a real or complex hyperbolic lattice to admit a RFRS tower that consists entirely of congruence subgroups. We use this to show that certain Bianchi grou…

math.GT2019

Arithmeticity, Superrigidity, and Totally Geodesic Submanifolds

Uri Bader, David Fisher, Nick Miller +1

Let $Γ$ be a lattice in $SO_{0} (n, 1)$ . We prove that if the associated locally symmetric space contains infinitely many maximal totally geodesic subspaces of dimension at l…

math.GT2018

Lattices in $PU (n, 1)$ that are not profinitely rigid

Matthew Stover

Using conjugation of Shimura varieties, we produce nonisomorphic, cocompact, torsion-free lattices in $PU (n, 1)$ with isomorphic profinite completions for all $n \geq 2$ . Th…

math.GT2015★ 6 cited

Geodesic curves on Shimura surfaces

Ted Chinburg, Matthew Stover

We parametrize the commensurability classes of curves on Shimura surfaces that are totally geodesic, i.e., the commensurability classes of so-called $C$ -Fuchsian subgroups…

Congruence RFRS towers

Arithmeticity, Superrigidity, and Totally Geodesic Submanifolds

Lattices in PU(n,1) that are not profinitely rigid

Geodesic curves on Shimura surfaces

Lattices in $PU (n, 1)$ that are not profinitely rigid