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Finiteness of closed arithmetic hyperbolic surface bundles
Tam Cheetham-West, Homin Lee, Nicholas Miller
For each , we show that there are finitely many cyclic commensurability classes of closed, fibered arithmetic hyperbolic -manifolds with genus fiber. More generally,…
Normalizers of lattices and isometry groups of arithmetic hyperbolic manifolds
Mikhail Belolipetsky, Tam Cheetham-West
We prove that every arithmetic lattice in PSL and every arithmetic lattice of the simplest type in PO, , is the normalizer of arbitrarily many of its…
Taut polynomials from finite quotients of fibered hyperbolic 3-manifold groups
Tamunonye Cheetham-West, Tam Cheetham-West, Biao Ma +2
We prove that, whenever the monodromy maps are fully-punctured, the finite quotients of a fibered hyperbolic -manifold group detect the taut polynomials of the fibered faces of…
Detecting embedded surfaces using finite quotients
Tam Cheetham-West, Khanh Le
We give conditions on a Haken hyperbolic rational homology three sphere that imply that any other 3-manifold with profinitely equivalent fundamental group must also be Haken. In th…
Profinite rigidity for two-bridge links and 3-tangle Montesinos links
Tamunonye Cheetham-West, Xiaoyu Xu
For any two-bridge link or 3-tangle Montesinos link (including knot), this paper proves that is profinitely rigid among the fundamental groups of compac…
Finite covers and strict boundary slopes of cusped hyperbolic 3-manifolds
Tamunonye Cheetham-West, Youheng Yao
We prove that if two cusped hyperbolic -manifolds admit a regular isomorphism between the profinite completions of their fundamental groups, then they share the same -polynom…
Simply transitive geodesics and omnipotence of lattices in PSL
Ian Agol, Tam Cheetham-West, Yair Minsky
We show that the isometry group of a finite-volume hyperbolic 3-manifold acts simply transitively on many of its closed geodesics. Combining this observation with the Virtual Speci…
Determining knot groups by finite quotients
Tamunonye Cheetham-West, Alan W. Reid
We prove that hyperbolic 2-bridge knots are determined amongst all compact 3-manifolds by the profinite completions of their knot groups.
Profinite rigidity and hyperbolic four-punctured sphere bundles over the circle
Tamunonye Cheetham-West
We show that hyperbolic four-punctured bundles over are distinguished by the finite quotients of their fundamental groups among all 3-manifold groups. To do this, we up…
Distinguishing some genus one knots using finite quotients
Tamunonye Cheetham-West
We give a criterion for distinguishing a prime knot in from every other knot in using the finite quotients of . Using recent work of Baldwin-Si…
Characterizing candidates for Cannon's Conjecture from Geometric Measure Theory
Tamunonye Cheetham-West, Alexander Nolte
We show that recent work of Song implies that torsion-free hyperbolic groups with Gromov boundary are realized as fundamental groups of closed 3-manifolds of constant negativ…
Absolute profinite rigidity of some closed fibered hyperbolic 3-manifolds
Tamunonye Cheetham-West
We give the first examples of closed fibered hyperbolic 3-manifolds whose fundamental groups are distinguished from every other finitely generated, residually finite group by their…