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The collection of peer-reviewed research articles (co)authored by faculty of the Department of Mathematics and Statistics.

### 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., 2023-01-13)
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 three-positive 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 ﻿

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 space-based near-solar neutrino detector ﻿

(Elsevier B.V., 2023-04-01)
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 Quaternion-Kähler manifolds ﻿

(Springer, 2023-01-09)
We prove lower bound estimates for the first nonzero eigenvalue of the Laplacian on a compact quaternion-Kähler manifold. For the closed or Neumann case, the lower bounds depend on dimension, diameter, and lower bound of ...

• #### Vector random fields on the probability simplex with metric-dependent covariance matrix functions ﻿

(Springer Nature, 2022-12-01)
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, 2022-11-10)
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 shower-like energy deposits in ProtoDUNE-SP using a convolutional neural network ﻿

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, 2021-10-01)
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, 2022-11-01)
In this paper we consider a well-known 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 nitrogen-vacancy-Assisted magnetometry to study magnetism in 2D van der Waals magnets ﻿

(American Institute of Physics Inc., 2022-08-08)
Exploring and understanding magnetism in two-dimensional (2D) van der Waals (vdW) magnetic materials present a promising route for developing high-speed and low-power spintronics devices. Studying their magnetic properties ...
• #### Improved measurement of neutrino oscillation parameters by the NOvA experiment ﻿

(American Physical Society, 2022-08-03)
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 neutrino-mode beam exposure over the previously ...
• #### Cluster analysis: A modern statistical review ﻿

(John Wiley and Sons Inc, 2022-08-19)
Cluster analysis is a big, sprawling field. This review paper cannot hope to fully survey the territory. Instead, it focuses on hierarchical agglomerative clustering, k-means clustering, mixture models, and then several ...
• #### NLO multijet merging for Higgs production beyond the VBF approximation ﻿

(Springer Nature, 2022-08-13)
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 ...