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

Symmetries of spaces with lower curvature bounds
(American Mathematical Society, 4/1/2023)[No abstract available] 
Manifolds with nonnegative curvature operator of the second kind
(World Scientific Publishing Co., 20230113)We investigate the curvature operator of the second kind on Riemannian manifolds and prove several classification results. The first one asserts that a closed Riemannian manifold with threepositive curvature operator of ... 
Modeling the spread of the Coronavirus
(Wichita State University, 5/3/2020)This talk will introduce statistical modeling concepts relating to prediction of COVID rates at a county level and specifically introduce the notion of spatial correlation, which recognizes that there is a connection between ... 
Computing the logarithmic capacity of compact sets having (infinitely) many components with the charge simulation method
(Springer Link, 20230228)We apply the charge simulation method (CSM) in order to compute the logarithmic capacity of compact sets consisting of (infinitely) many “small” components. This application allows to use just a single charge point for ... 
Concept for a spacebased nearsolar neutrino detector
(Elsevier B.V., 20230401)The concept of putting a neutrino detector in close orbit of the Sun has been unexplored until very recently. The primary scientific return is to vastly enhance our understanding of the solar interior, which is a major ... 
Eigenvalue estimates on QuaternionKähler manifolds
(Springer, 20230109)We prove lower bound estimates for the first nonzero eigenvalue of the Laplacian on a compact quaternionKähler manifold. For the closed or Neumann case, the lower bounds depend on dimension, diameter, and lower bound of ... 
Numerical computation of a preimage domain for an infinite strip with rectilinear slits
(Springer Link, 20230116)Let Ω be the multiply connected domain in the extended complex plane $\overline {\mathbb {C}}$obtained by removing m nonoverlapping rectilinear segments from the infinite strip $S=\{z : \left \text {Im} z\right <\pi ... 
Development of a neutrino detector capable of operating in space
(Elsevier B.V., 20230201)The vSOL experiment to operate a neutrino detector close to the Sun is building a small test detector to orbit the Earth to test the concept in space. This detector concept is to provide a new way to detect neutrinos ... 
Strong local nondeterminism and exact modulus of continuity for isotropic Gaussian random fields on compact twopoint homogeneous spaces
(Springer International Publishing, 20230103)This paper is concerned with sample path properties of realvalued isotropic Gaussian fields on compact twopoint homogeneous spaces. In particular, we establish the property of strong local nondeterminism of an isotropic ... 
An adaptive multiresolution ultraweak discontinuous Galerkin method for nonlinear Schrödinger equations
(Springer Link, 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 ... 
Manifolds with $4\frac{1}{2}$Positive Curvature Operator of the Second Kind
(Springer Nature, 20220804)We show that a closed fourmanifold with $4\frac{1}{2}$positive curvature operator of the second kind is diffeomorphic to a spherical space form. The curvature assumption is sharp as both ${\mathbb{CP}\mathbb{}}^2$and ... 
Vector random fields on the probability simplex with metricdependent covariance matrix functions
(Springer Nature, 20221201)This paper constructs a class of isotropic vector random fields on the probability simplex via infinite series expansions involving the ultraspherical polynomials, whose covariance matrix functions are functions of the ... 
Level sets of potential functions bisecting unbounded quadrilaterals
(Birkhauser, 20221110)We study the mixed Dirichlet–Neumann problem for the Laplace equation in the complement of a bounded convex polygonal quadrilateral in the extended complex plane. The Dirichlet/ Neumann conditions at opposite pairs of sides ... 
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 ... 
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 ... 
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 ... 
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 ... 
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 ... 
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 ...