MATH Theses and Dissertations
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Concept study for observing galactic neutrinos in Neptune’s atmosphere
(Wichita State University, 2022-05)I discuss the feasibility of a conceptual space-based neutrino detector that utilizes the Ice Giants as targets for galactic neutrinos. The purpose of this research stems from the concept of wanting to find a new method ... -
Machine learning in NO$\nu$A near detector vertexing
(Wichita State University, 2022-05)This work presents an alternative method for a reconstruction machine learning algorithm in place of the one currently used by the NO$\nu$A (NuMI Off-axis $\nu_e$ Appearance) group for the analysis of neutrino events at ... -
A linearised inverse conductivity problem for the Maxwell system at a high frequency
(Elsevier, 2022-04-15)We consider a linearised inverse conductivity problem for electromagnetic waves in a three dimensional bounded domain at a high time-harmonic frequency. Increasing stability bounds for the conductivity coefficient in the ... -
The system $x^n + y^n = naxy, a>0$
(Wichita State University, 1933-05) -
Effect of low-temperature opacities on stellar evolution
(Wichita State University, 2021-12)Stellar evolution is studied through computational models of stars since any perceived change in the stars can take thousands if not millions of years. One of the physical quantities that defines the evolution of a star ... -
NuSol neutrino detector prototypes: An analysis of the efficiency and backgrounds of the detectors
(Wichita State University, 2021-12)The NuSol project aims to orbit a satellite fitted with a gallium-doped scintillator within 10 solar radii of the sun on closest approach. The advantage of the close proximity to the sun is a much higher flux of neutrinos ... -
On the Lévy-Steinitz Theorem
(Wichita State University, 2021-12)This thesis is a further study of Riemann's Theorem of rearrangements of series. The theorem states: (1) If $\sum a_j$ is a conditionally convergent series of real numbers and a is a real number, then there is a rearrangement ... -
Applied topological data analysis to El-Niño Southern Oscillation
(Wichita State University, 2021-07)The El Niño Southern Oscillation (ENSO) is one of the most powerful climate phenomena that can change global air circulation, affecting temperature and rainfall around the planet. ENSO has three phases: El Niño and La ... -
Ricci tensor under conformal change of metric as an elementary obstruction to certain Einstein metrics
(Wichita State University, 2021-07)Gregorio Ricci-Curbastro, (1853-1925) Bologna, was an Italian mathematician and a professor at the University of Padua from 1880 -1925. He was the rst to introduce the systematic theory of tensor analysis in 1887 with a ... -
On the inverse gravimetry problem with minimal data
(Wichita State University, 2021-07)In this dissertation we considered the inverse source problem $\Delta u = \mu,$ where lim $u (x) = 0$ as |x| goes to $\infty$ and $\mu$ is zero outside a bounded domain $\Omega$. The inverse problem of gravime- try is to ... -
Positive (p, n)-intermediate scalar curvature and Gromov-Lawson cobordism
(Wichita State University, 2021-08)In this thesis we consider a well known construction due to Gromov, Lawson, and Gajer which allows for the extension of a metric of positive scalar curvature over the trace of a surgery in codimension at least 3 to a ... -
A pseudo restricted maximum likelihood estimator under multivariate simple tree order restriction and an algorithm
(Wichita State University, 2021-07)The minimum distance projection of a given matrix $X \in R^{pxq}$ onto the order restricted cone in an appropriately defined inner product system, $\pi(X|C_{pxq}),$ plays an important role in order restricted statistical ... -
Stellar modeling with low-temperature on-the-fly opacity
(Wichita State University, 2021-05)Accurate stellar modeling requires using our understanding of phenomena far smaller than humans can observe to study some of the largest objects in the universe. One quantity that bridges this gap is the mean opacity, ... -
Monte Carlo simulations of a space-based dark matter detector
(Wichita State University, 2021-05)It has been well established that a large percentage of the material in the universe is in an undiscovered form; Dark Matter. Most of this material is gravitationally condensed together as galaxies and clusters of galaxies. ... -
The Hopf Conjecture with abelian symmetries
(Wichita State University, 2021-05)The Hopf Conjecture states that for closed, orietable, even-dimensional manifolds, the Euler characteristic is strictly positive. Results due independently to P uttmann and Searle [13] and Rong [14], and due to Rong and ... -
Improvement of the nova near detector event reconstruction and primary vertexing through the application of machine learning methods
(Wichita State University, 2020-12)The purpose of this work is to examine the application of a deep learning model in event reconstruction of neutrino interactions. The challenges faced in event reconstruction include the placement of an accurate primary ... -
Superconvergence of discontinuous Galerkin method for linear hyperbolic equations
(Wichita State University, 2020-12)This thesis is concerned with the investigation of the superconvergence of the Discontinuous Method for linear conservation laws. We use Fourier analysis to study the superconvergence of the semi-discrete discontinuous ... -
Study of Morin transition in hematite (a- Fe₂O₃) nanoparticles by Mössbauer spectroscopy
(Wichita State University, 2020-07)The change in magnetic properties of hematite (a- Fe₂O₃) nanoparticles were investigated by observing the change of Morin transition fraction at different temperatures. X-ray diffraction, transimission electron microscope ... -
Neutrino detector design, attenuation studies, and testing for the νSol project
(Wichita State University, 2020-05)In order to further work on the Sol project funded through a NASA Phase II NIAC grant, I have performed detailed simulations on the effect of attenuation length on the performance of the Sol solar neutrino probe using ... -
Epileptic foci localization using the inverse source problem for Maxwell's equations
(Wichita State University, 2020-05)Consider an application of the inverse source problem for Maxwell's equations to the matter of epileptic foci localization in the human brain. Using a current dipole to model the epileptic focus in the brain, and by ...
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