Publications (22)
On the genus of congruence surfaces from maximal orders
Eric Albers, Nicholas Miller
In this paper, we investigate a question of Breuillard and Reid concerning which genera can be obtained by closed congruence surfaces. Specifically, we study a smaller set of objec…
Locally Equivalent Correspondences
Benjamin Linowitz, D. B. McReynolds, Nicholas Miller
Given a pair of number fields with isomorphic rings of adeles, we construct bijections between objects associated to the pair. For instance we construct an isomorphism of Brauer gr…
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…
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…
Semiclassical measures for complex hyperbolic quotients
Jayadev Athreya, Semyon Dyatlov, Nicholas Miller
We study semiclassical measures for Laplacian eigenfunctions on compact complex hyperbolic quotients. Geodesic flows on these quotients are a model case of hyperbolic dynamical sys…
Infinite-type loxodromic isometries of the relative arc graph
Carolyn R. Abbott, Nicholas Miller, Priyam Patel
An infinite-type surface is of type if it has an isolated puncture and admits shift maps. This includes all infinite-type surfaces with an isolated puncture…
Shifts maps are not type-preserving
Carolyn Abbott, Nicholas Miller, Priyam Patel
For a surface of sufficient complexity, Dehn twists act elliptically on the arc, curve, and relative arc graph of . We show that composing a Dehn twist with a shift map resu…
Unmarked simple length spectral rigidity for covers
Tarik Aougab, Max Lahn, Marissa Loving +1
We prove that every closed orientable surface S of negative Euler characteristic admits a pair of finite-degree covers which are length isospectral over S but generically not simpl…
Demonstration that Differential Length Changes of Optical Cavities are a Sensitive Probe for Ultralight Dark Matter
Tejas Deshpande, Andra Ionescu, Nicholas Miller +4
Measurements of differential length oscillations of Fabry-Perot cavities provide a sensitive and promising approach to searching for scalar ultralight dark matter (ULDM). The initi…
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…
Analysis of Risk Factor Domains in Psychosis Patient Health Records
Eben Holderness, Nicholas Miller, Philip Cawkwell +4
Readmission after discharge from a hospital is disruptive and costly, regardless of the reason. However, it can be particularly problematic for psychiatric patients, so predicting…
Diverse Large-Scale ITS Dataset Created from Continuous Learning for Real-Time Vehicle Detection
Justin A. Eichel, Akshaya Mishra, Nicholas Miller +5
In traffic engineering, vehicle detectors are trained on limited datasets resulting in poor accuracy when deployed in real world applications. Annotating large-scale high quality d…
Assessing the Efficacy of Clinical Sentiment Analysis and Topic Extraction in Psychiatric Readmission Risk Prediction
Elena Alvarez-Mellado, Eben Holderness, Nicholas Miller +5
Predicting which patients are more likely to be readmitted to a hospital within 30 days after discharge is a valuable piece of information in clinical decision-making. Building a s…
Rich representations and superrigidity
Gregorio Baldi, Nicholas Miller, Matthew Stover +1
We investigate and compare applications of the Zilber-Pink conjecture and dynamical methods to rigidity problems for arithmetic real and complex hyperbolic lattices. Along the way…
Effective virtual and residual properties of some arithmetic hyperbolic 3-manifolds
Jason DeBlois, Nicholas Miller, Priyam Patel
We give an effective upper bound, for certain arithmetic hyperbolic 3-manifold groups obtained from a quadratic form construction, on the minimal index of a subgroup that embeds in…
On signatures of the atoroidal bundles of Kent-Leininger
Jean-François Lafont, Nicholas Miller, Lorenzo Ruffoni
We show that there are infinitely many homeomorphism types of atoroidal surface bundles over surfaces which have signature zero.
Minimal complexity cusped hyperbolic 3-manifolds with geodesic boundary
Anuradha Ekanayake, Max Forester, Nicholas Miller
In the early 2000s, Frigerio, Martelli, and Petronio studied -manifolds of smallest combinatorial complexity that admit hyperbolic structures. As part of this work they defined…
Impacts of Fermi Level Pinning at Hole-Selective Contacts in CdSeTe/CdTe Solar Cells
Ariful Islam, Nathan D. Rock, Kh. Aaditta Arnab +3
P-type doped CdTe free surfaces Schottky contacts, and even interfaces with isostructural p-ZnTe frequently exhibit downward band bending and moderate to high recombination velocit…
Finiteness of Maximal Geodesic Submanifolds in Hyperbolic Hybrids
David Fisher, Jean-François Lafont, Nicholas Miller +1
We show that large classes of non-arithmetic hyperbolic -manifolds, including the hybrids introduced by Gromov and Piatetski-Shapiro and many of their generalizations, have only…
Areas of totally geodesic surfaces of hyperbolic 3-orbifolds
Benjamin Linowitz, D. B. McReynolds, Nicholas Miller
The geodesic length spectrum of a complete, finite volume, hyperbolic 3-orbifold M is a fundamental invariant of the topology of M via Mostow-Prasad Rigidity. Motivated by this, th…
Arithmetic Progressions in the Primitive Length Spectrum
Nicholas Miller
In this article, we prove that every arithmetic locally symmetric orbifold of classical type without Euclidean or compact factors has arbitrarily long arithmetic progressions in it…
Arithmeticity, superrigidity and totally geodesic submanifolds of complex hyperbolic manifolds
Uri Bader, David Fisher, Nicholas Miller +1
For , we prove that a finite volume complex hyperbolic -manifold containing infinitely many maximal properly immersed totally geodesic submanifolds of dimension at leas…