1 citations · 1 across the 6 of their papers we have counts for
7 papers
Scalar curvature, volume, and Weil-Petersson translation length
Cameron Gates Rudd
We construct metrics on pseudoAnosov mapping tori that make every fiber an intrinsically hyperbolic stable minimal surface, and which have scalar curvature identically -6. Using th…
Filling 1-cycles, 2-cycle complexity, and torsion growth
Cameron Gates Rudd
For 2-complexes with trivial first Betti number, we study quantitative connections between filling inequalities for 1-cycles, the complexity of the second homology, and the size of…
Magnetic geodesics, Hodge Laplacian eigenvalues, and isoperimetric inequalities
Cameron Gates Rudd
An isoperimetric constant relating length and stable area, or alternatively for hyperbolic manifolds, length and stable commutator length, serves as a Cheeger constant for the smal…
Property (T) and Poincaré duality in dimension three
Cameron Gates Rudd
We use a recent result of Bader and Sauer on coboundary expansion to prove residually finite three-dimensional Poincaré duality groups never have property (T). This implies such gr…
Stretch laminations and hyperbolic Dehn surgery
Cameron Gates Rudd
We study maximal stretch laminations associated to certain best Lipschitz circle valued maps in Dehn surgery families of hyperbolic 3-manifolds. For these maps, we give a criterion…
Computing a Link Diagram from its Exterior
Nathan M. Dunfield, Malik Obeidin, Cameron Gates Rudd
A knot is a circle piecewise-linearly embedded into the 3-sphere. The topology of a knot is intimately related to that of its exterior, which is the complement of an open regular n…
Stable Isoperimetric Ratios and the Hodge Laplacian of Hyperbolic Manifolds
Cameron Gates Rudd
We show that for a closed hyperbolic 3-manifold the size of the first eigenvalue of the Hodge Laplacian acting on coexact 1-forms is comparable to an isoperimetric ratio relating g…