3 papers
math.AP2025
Semiclassical Measures on Hyperbolic Manifolds
Elena Kim, Nicholas Miller
We examine semiclassical measures for Laplace eigenfunctions on compact hyperbolic -manifolds. We prove their support must contain the cosphere bundle of a compact immersed…
math.GT2023
A note on an effective characterization of covers with an application to higher rank representations
Tarik Aougab, Max Lahn, Marissa Loving +1
In this note we prove an effective characterization of when two finite-degree covers of a connected, orientable surface of negative Euler characteristic are isomorphic in terms of…
math.GT2023
Azumaya algebras and once-punctured torus bundles
Nicholas Miller
Recent work of Chinburg, Reid, and Stover has shown that certain arithmetic and algebro-geometric properties of the character variety of a hyperbolic knot complement in the 3-spher…