MATH Research Publications
The collection of peerreviewed research articles (co)authored by faculty of the Department of Mathematics and Statistics.
All items in SOAR are protected by copyright, with all rights reserved, unless otherwise indicated
Recent Submissions

Separation of track and showerlike energy deposits in ProtoDUNESP using a convolutional neural network
(Springer Link, 20221012)Liquid argon time projection chamber detector technology provides high spatial and calorimetric resolutions on the charged particles traversing liquid argon. As a result, the technology has been used in a number of recent ... 
Positively curved Riemannian orbifolds and Alexandrov apaces with circle aymmetry in Dimension 4
(Deutsche Mathematiker Vereinigung, 20211001)We classify positively curved Alexandrov spaces of dimension 4 with an isometric circle action up to equivariant homeomorphism, subject to a certain additional condition on the infinitesimal geometry near fixed points which ... 
Cluster analysis: A modern statistical review
(John Wiley and Sons Inc, 20220819)Cluster analysis is a big, sprawling field. This review paper cannot hope to fully survey the territory. Instead, it focuses on hierarchical agglomerative clustering, kmeans clustering, mixture models, and then several ... 
Opportunities for nitrogenvacancyAssisted magnetometry to study magnetism in 2D van der Waals magnets
(American Institute of Physics Inc., 20220808)Exploring and understanding magnetism in twodimensional (2D) van der Waals (vdW) magnetic materials present a promising route for developing highspeed and lowpower spintronics devices. Studying their magnetic properties ... 
Positive (p,n)intermediate scalar curvature and cobordism
(Elsevier, 20221101)In this paper we consider a wellknown construction due to Gromov and Lawson, Schoen and Yau, Gajer, and Walsh which allows for the extension of a metric of positive scalar curvature over the trace of a surgery in codimension ... 
Improved measurement of neutrino oscillation parameters by the NOvA experiment
(American Physical Society, 20220803)We present new ν μ → ν e , ν μ → ν μ , ¯ ν μ → ¯ ν e , and ¯ ν μ → ¯ ν μ oscillation measurements by the NOvA experiment, with a 50% increase in neutrinomode beam exposure over the previously ... 
NLO multijet merging for Higgs production beyond the VBF approximation
(Springer Nature, 20220813)We present results of the simulation of electroweak Higgs boson production at the Large Hadron Collider using both the NLO multijet merging and NLO matching frameworks provided by the general purpose event generator Herwig ... 
Scintillation light detection in the 6m driftlength ProtoDUNE Dual Phase liquid argon TPC
(Springer, 20220624)DUNE is a dualsite experiment for longbaseline neutrino oscillation studies, neutrino astrophysics and nucleon decay searches. ProtoDUNE Dual Phase (DP) is a 6 × 6 × 6 m3 liquid argon timeprojectionchamber (LArTPC) ... 
A novel Bayesian method for variable selection and estimation in binary quantile regression
(John Wiley & Sons, Ltd, 20220703)In this paper, we develop a Bayesian hierarchical model and associated computation strategy for simultaneously conducting parameter estimation and variable selection in binary quantile regression. We specify customary ... 
Stochastic comparison for elliptically contoured random fields
(Elsevier, 20221001)This paper presents necessary and sufficient conditions for the peakedness comparison and convex ordering between two elliptically contoured random fields about their centers. A somewhat surprising finding is that the ... 
Stochastic comparison for elliptically contoured random fields
(Elsevier, 20221001)This paper presents necessary and sufficient conditions for the peakedness comparison and convex ordering between two elliptically contoured random fields about their centers. A somewhat surprising finding is that the ... 
Low exposure longbaseline neutrino oscillation sensitivity of the DUNE experiment
(American Physical Society, 20220425)The Deep Underground Neutrino Experiment (DUNE) will produce worldleading neutrino oscillation measurements over the lifetime of the experiment. In this work, we explore DUNE’s sensitivity to observe chargeparity violation ... 
An adaptive multiresolution ultraweak discontinuous Galerkin method for nonlinear Schrödinger equations
(Springer, 20210125)This paper develops a highorder adaptive scheme for solving nonlinear Schrödinger equations. The solutions to such equations often exhibit solitary wave and local structures, which make adaptivity essential in improving ... 
Series representations and simulations of isotropic random fields in the Euclidean space
(American Mathematical Society, 20211207)This paper introduces the series expansion for homogeneous, isotropic and mean square continuous random fields in the Euclidean space, which involves the Bessel function and the ultraspherical polynomial, but differs from ... 
Ages of mainsequence turnoff stars from the GALAH survey
(American Astronomical Society, 20220401)Mainsequence turnoff (MSTO) stars are good tracers of Galactic populations since their ages can be reliably estimated from atmospheric parameters. Based on the GALAH survey, we use the Yale rotation evolution code to ... 
Scalar and vector tomography for the weighted transport equation with application to helioseismology
(De Gruyter Open Ltd, 20220408)Motivated by the application to helioseismology, we demonstrate uniqueness and stability for a class of inverse problems of the weighted transport equation. Using Aanalytic functions, this inverse problem is expressed as ... 
A Class of Adaptive Multiresolution UltraWeak Discontinuous Galerkin Methods for Some Nonlinear Dispersive Wave Equations
(Society for Industrial and Applied Mathematics Publications, 20220329)In this paper, we propose a class of adaptive multiresolution (also called the adaptive sparse grid) ultraweak discontinuous Galerkin (UWDG) methods for solving some nonlinear dispersive wave equations including the ... 
Instantaneous frequencyembedded synchrosqueezing transform for signal separation
(Frontiers Media S.A., 20220317)The synchrosqueezing transform (SST) and its variants have been developed recently as an alternative to the empirical mode decomposition scheme to model a nonstationary signal as a superposition of amplitude and ... 
Design, construction and operation of the ProtoDUNESP liquid argon TPC
(IOP Publishing, 20220104)The ProtoDUNESP detector is a singlephase liquid argon time projection chamber (LArTPC) that was constructed and operated in the CERN North Area at the end of the H4 beamline. This detector is a prototype for the first ... 
Some constructions of formally selfadjoint conformally covariant polydifferential operators
(Elsevier, 20220310)We introduce the notion of formally selfadjoint conformally covariant polydifferential operators and give some constructions of families of such operators. In one direction, we show that any homogeneous conformally ...