Physical Sciences and Mathematics Commons^™

High-Resolution Modeling Of Extreme Heat Events With Socioeconomic Consideration: A Real-Case Wrf-Les Approach, Maryam Golbazi, Frank Liu, Yin-Hsuen Chen, Timothy W. Juliano, Heather Richter

ODU Articles

The overarching goals of this work is to explore best practices for micro-scale modeling of a real case, identify relevant phenomena by using high-resolution modeling, and to explore their implications for public health, and climate resilience strategies in Hampton Roads, VA, USA. This project employs the Weather Research and Forecasting (WRF) model to conduct a comprehensive study of Hampton Roads, utilizing a coupled mesoscale to microscale modeling capable of resolving boundary layer turbulence. This study has three primary objectives: (1) to establish the optimal mesoscale to Large-Eddy Simulation (LES) configurations for complex geographical regions such as the Hampton Roads (HR) …

Nature-Based Solutions For Urban Climate Resilience: Assessment Of Environmental Planning & Policy Perspective In New York City, Padmi R. Ranasinghe

Planning Dissertations - Archive

Climate change exerts a profound global influence, elevating the risk of disasters. Rapid urbanization and high population density make cities increasingly vulnerable to disasters. Climate impact is intense for cities in deltas and coastal regions, highlighting the importance of managing urban watersheds effectively. Often, climate change affects people unequally, with marginalized communities being extra vulnerable to climate-related disasters due to where they live (geographical vulnerability) and limited adaptive capacity. People often live in areas vulnerable to climate-related hazards, including flood zones and regions affected by environmental injustices. Enhancing city resilience is crucial, as it needs to reduce vulnerability and exposure …

The Algebra Behind Magic, Lois Carpenter

Undergraduate Research Awards

Card Tricks have long been a staple in the common magician’s repertoire, and while many tricks can be explained through sleight of hand alone, others rely on seemingly random shuffling methods that leave the magician with significant control over the deck. Applied card magic (frequently referred to as ‘cheating’) makes significant use of this ability. Thus, the utility of this topic is clear- anyone with basic mastery of perfect shuffles has complete control over the arrangement of cards in a deck, and with it a fundamental advantage against other players in any game of cards. While most perfect shuffles are …

Completing Multi-Latin Rectangles Via Factors With Prescribed Degrees In Bipartite Graphs, Amin Bahmanian

Faculty Publications – Mathematics

Let Q be an n x n array whose top left r x s sub‐array L is filled with a set of k different symbols such that each cell of L contains λ symbols. In this note, we find conditions under which each empty cell of Q can be filled with λ symbols in such a way that the total number of occurrences of each symbol is prescribed and that each symbol
occurs at most λ times in each row and column of Q. To prove this result, we establish a new criterion for a bipartite graph to have …

A Systematic Review And Taxonomy For Privacy Breach Classification: Trends, Gaps, And Future Directions, Clint Fuchs, John Hastings

Research & Publications

In response to the rising frequency and complexity of data breaches and evolving global privacy regulations, this study presents a comprehensive examination of academic literature on the classification of privacy breaches and violations between 2010-2024. Through a systematic literature review, a corpus of screened studies was assembled and analyzed to identify primary research themes, emerging trends, and gaps in the field. A novel taxonomy is introduced to guide efforts by categorizing research efforts into seven domains: breach classification, report classification, breach detection, threat detection, breach prediction, risk analysis, and threat classification. An analysis reveals that breach classification and detection dominate …

The Road Less Traveled: A Pathway Leading To Research At A Primarily Undergraduate Institution, Timothy D. Lash

Faculty Publications – Chemistry

Scholarly activities in primarily undergraduate institutions involve very different challenges from those in major research universities. In this essay, the author discusses how he initiated a research program involving undergraduates at Illinois State University following a number of missteps and false starts. Although undergraduate researchers have much to learn, and the levels of commitment vary considerably, they can nevertheless often make important contributions.

Developments On Quantum Phase Space Dynamics And Foundations, Gabriel Nowaskie

Mahurin Honors College Capstone Experience/Thesis Projects

This work explores the development and unification of quantum theory within phase space, with a particular focus on new mathematical structures and solution techniques that extend the standard quantum formalism. Building upon the Quantum Phase Space Representation (QPSR) introduced by Torres-Vega and Frederick, we present several advancements that address longstanding gaps in the formulation and solvability of quantum systems in this framework. We introduce the Half-Transform Ansatz, a novel method for solving the Time-Independent Schrodinger Equation by recasting it into a hypergeometric form, enabling the application of the Nikiforov-Uvarov method. This approach is demonstrated through the analysis of quarkonium systems …

Dynamics Of Thermalization In Classical Three-Dimensional Many-Body Systems: Non-Maxwellian Distributions And The Role Of Anisotropic Trapping, Roberto Onofrio, Bala Sundaram

Data and Datasets

The physics of interacting baths is of interest in a variety of contexts, ranging from ultracold atoms to ionized gases. While many features can already be captured in a one-dimensional model, others are speci c to the situation of two or three-dimensional systems. In this paper, we focus on three-dimensional features of a model for thermalization between two baths that we have explored in earlier publications. In contrast to the one-dimensional situation we show that, enroute to thermalization, deviations from the Maxwell-Boltzmann energy distributions more akin to  -distributions are observed. In three dimensions, these can be seen in changes at …

Private Property Vs. Public Access: Socio-Engineering Framework For Managing Non-Meandering Waters In South Dakota’S Prairie Pothole Region, Lydia Loken, Sushant Mehan

The Journal of Undergraduate Research

This study addresses the growing importance of balancing private ownership and public interest of Non-Meandering Waters (NMWs) overlaying private property in the South Dakota Prairie Pothole Region (PPR) through both a legal and socio-engineering lens. This study aims to develop an integrated management framework for Non-Meandering Waters in the South Dakota Prairie Pothole Region that combines water allocation principles, the Public Trust Doctrine, and water quality objectives to guide policy decisions, ensuring equitable access, long-term sustainability, and a balanced approach to both public and private interests. Data collection from October 2024 through February 2025 and included a literature review of …

Nonlinear Wave Dynamics In Asteroseismology With Application To Delta Scuti Stars, Mohammed Mourabit

Physics Dissertations - Archive

This thesis compiles the collection of works in nonlinear astroseismology and its implication to the δ Sct variable that we carried over the course of five years. With the advent of high-resolution space missions such as the Kepler and TESS telescopes, we were able to see significant progress in the field in recent years. Nonetheless the new technologies also brought an increasing number of observation that are seemingly contradictory to the linear theory of asteroseismology. In particular, we find the δ Sct variable, which eludes our models in terms of how varied we find they spectra for stars with very …

Algebra Structures For The Koszul Homology Of Minimal Intersections, Kathryn A. Grebel

Mathematics Dissertations - Archive

The Koszul homology of a local ring is a powerful tool in commutative algebra as it provides information on the structure and properties of the ring. In this research, we explore the relationship between quotients of regular local rings and their Koszul homology algebra. One such relationship is detailed by the Tate-Assmus theorem, which asserts, in part, that a ring is a complete intersection if and only if the Koszul homology is generated by its degree 1 homology elements. An objective of this research is to examine and identify the properties of a minimal intersection and its Koszul homology algebra. …

Predicting Evapotranspiration, Quick Flow, And Recharge In The Contiguous United States Through 2100, Paige Aldenberg

Open Access Master's Theses

Groundwater pumping has more than doubled since 1950 across the United States and now accounts for more than 50% of water use in much of the country. These high pumping rates have exceeded recharge in many aquifers, especially in the dry Western United States. As a result, water levels are declining, increasing water scarcity for humans, and causing various adverse ecosystem impacts. So, predictions of future groundwater recharge rates, especially in the face of changing climates, are necessary for informing future water management practices. While historical groundwater recharge rates have been estimated across broad geographic regions, high-resolution predictions of future …

Field Performance Evaluation Of Selectively Bred Eastern Oyster Lines In New Jersey And Rhode Island, Seraphina Satkowski

Open Access Master's Theses

Eastern oyster aquaculture has increased steadily over the last three decades, but the industry has yet to achieve its full potential. In the Northeast USA, production is limited in part by a lack of high performing stocks suited to the geographically broad and heterogenous growing environments. For this study, hatchery lines from Maine, New York, and New Jersey as well as crosses between each hatchery line and the selectively bred Northeast high survival (NEHÒ) line, were deployed at oyster farms in Rhode Island and New Jersey for performance evaluation. Replicate bags of each line were stocked and maintained according to …

Geochemical And Sedimentological Signals Of Bottom Water Oxygen Dynamics From Lake Tanganyika (Zambia), Njahi Mwangala

Theses and Dissertations--Earth and Environmental Sciences

Lake Tanganyika is a large, ancient freshwater body with exceptional biodiversity that is located in the East African Rift System. Lake Tanganyika’s size and longevity make its sedimentary record useful for understanding environmental changes that cross spatial and temporal boundaries. Lake Tanganyika is known to be susceptible to global warming given its tropical location. Over 12 million people living within Lake Tanganyika’s watershed rely on fishing for their income and nutrition. Changes to limnological function driven by climate could therefore have serious implications for human health and biodiversity conservation. This study focuses on using geochemical properties of modern lake bottom …

Late Holocene Paleolimnology Of Lake Tanganyika (East Africa), Leandro Domingos Luz

Theses and Dissertations--Earth and Environmental Sciences

Understanding the long-term responses of ecosystems to climate variability is crucial for predicting and mitigating future changes in the Afrotropics, a region where a significant portion of the population is highly vulnerable to extreme climatic events. Lake Tanganyika, the largest rift lake in East Africa, offers a unique sedimentary archive that can be used to investigate the limnological changes, hydroclimatic shifts, and vegetation dynamics across various timescales. A multi-proxy approach was employed to assess the landscape responses to hydroclimatic fluctuations in the Late Holocene, integrating paleoenvironmental records from radiocarbon-dated sediment cores. This approach involved sedimentology, mineralogy, geochemistry, phytolith analysis, and …

Applications Of Remote Sensing Data To Understanding Geohazards In Wyoming And Kentucky, Meredith Swallom

Theses and Dissertations--Earth and Environmental Sciences

Shallow geohazards such as earthquakes, landslides, and floods profoundly impact communities globally. Constraining susceptibility to these hazards is critical for effective hazard mitigation and building more resilient communities. This dissertation includes multiple studies that leverage remotely sensed datasets to address hazard susceptibility, including: (1) characterizing a potential northern extension of the Teton fault system, (2) deriving a vegetation-based metric to improve landslide susceptibility maps in eastern Kentucky, with potential global implications, and (3) combining numerical modeling, landscape models, and field constraints to understand how anthropogenic factors affect flood severity in southern Appalachian catchments.

In the first study, analysis of new …

Multi-Scale Analysis Of Karst Aquifer Vulnerability To Climate Change And Contamination Processes, Shishir Sarker

Theses and Dissertations--Earth and Environmental Sciences

Karst aquifers represent some of the world’s most productive yet vulnerable groundwater systems, supplying freshwater to approximately 10% of the global population across 15% of Earth’s ice-free land surface. Their distinctive hydrological characteristics— including rapid recharge, preferential flow paths, and limited natural filtration— create unique vulnerabilities to both climate variability and contamination that pose significant challenges for sustainable water resource management. This dissertation presents a comprehensive multi-scale analysis of karst aquifer vulnerability through three interconnected studies that examine climate change impacts, microbial contamination dynamics, and contaminant transport processes across diverse geographic and hydrogeologic settings.

Chapter two investigates climate change impacts …

Monazite Ages In And Fertility Of Crystalline Basement Rocks Of The Eastern Inner Piedmont Province: Potential Source Of Detrital Ree Critical Mineral Resources In The Coastal Plain And Modern Fluvial Systems, Abagale K. Ramsey

Theses and Dissertations--Earth and Environmental Sciences

The southeastern United States has been known for over a century as a potential resource for rare earth elements due to the abundance of monazite in sediments and crystalline basement rocks. However, sedimentary evolution of the monazite from bedrock to placer deposit and the provenance of the monazite remain untested. This study examined samples collected from the basement rocks of the Piedmont terrane in South Carolina and western North Carolina including peraluminous granites, metagranites, mica schists, and biotite gneisses, and heavy-mineral concentrates of first-order streams draining from these rocks, for age comparison and monazite abundance. Monazite grains were analyzed for …

Geochronologic Constraints On The Meso-Neoproterozoic Tectonic Evolution Of Eastern Laurentia: An Investigation Of Sediment Recycling During And After The Grenvillian Orogeny, John M. Clay Iii

Theses and Dissertations--Earth and Environmental Sciences

The Grenvillian orogeny and Midcontinent Rift shaped the Mesoproterozoic basement of eastern Laurentia. Their convergence beneath Kentucky and Ohio formed a foreland basin, preserved as the Middle Run Formation. Detrital zircon U-Pb geochronology constrains deposition to ~1.0 Ga, reflects Grenville unroofing phases, includes Midcontinent Rift input, and minor Ottawan components. This formation constitutes the most proximal preserved segment of the Grenvillian clastic wedge in Laurentia.

Neoproterozoic-Cambrian rifting followed by Cambrian transgression formed the Great Unconformity in eastern Laurentia. Detrital zircon and basement U-Pb ages from Kentucky and the Appalachians constrain sediment provenance and recycling. Kentucky basement shows Eastern Granite-Rhyolite crust …

Regularized Methods For Tensor Recovery And Processing, Katherine J. Henneberger

Theses and Dissertations--Mathematics

The rapid growth of high-dimensional data has exposed the limitations of traditional vector and matrix-based methods for data analysis. These methods often struggle with computational inefficiencies, loss of critical cross-dimensional correlations, and challenges inherent in high-dimensional data. Tensors—multidimensional arrays—offer a robust framework for modeling and analyzing complex data. Tensor methods have proven valuable in tasks such as dimensionality reduction, feature extraction, and data compression, underpinning advancements in machine learning, computer vision, signal processing, and remote sensing.

This thesis focuses on two challenges in tensor analysis: tensor recovery and tensor processing. Tensor recovery addresses the reconstruction of incomplete or corrupted tensors. …

Two Network Flow Problems: Volume Inequalities For Flow Polytopes Of Full Directed Acyclic Graphs; Optimal Additions To The Low-Stress Bike Network In Lexington, Kentucky, James F. Mcelroy

Theses and Dissertations--Mathematics

This dissertation addresses two distinct problems related by their foundation in network flows. The first problem concerns volumes of flow polytopes of directed acyclic graphs with out-degree sequence (3,2,...,2,0). It is proved that there is an interchange operation on the edge set of these graphs that induces a partial order on the graphs isomorphic to a Boolean algebra, and that moving up through this partial order decreases (weakly) the volumes of the corresponding flow polytopes. This result is reinterpreted in the context of linear extensions for posets that are bipartite non-crossing trees.

The second problem develops a discrete optimization model …

Novel Generative And Language Model Architectures With Applications, Edison Mucllari

Theses and Dissertations--Mathematics

This dissertation investigates novel architectures to address fundamental challenges in machine learning, particularly focusing on transformer models, recurrent neural networks, GAN and continual learning and their applications in natural language processing and computer vision. We propose the Neumann-Cayley Gated Recurrent Unit (NC-GRU), which leverages a Neumann series-based Scaled Cayley transformation to maintain orthogonal weight matrices, effectively mitigating exploding gradients problems while improving long-term memory retention across prediction tasks. We demonstrate the practical applications of NC-GRU by implementing our proposed architecture into an autoencoder to derive neural molecular fingerprints. Building upon these advancements, we turn our attention to the transformer architecture, …

Blow-Ups And Projectivized Toric Vector Bundles, Sara Church

Theses and Dissertations--Mathematics

This dissertation is set in the intersection of toric geometry, tropical geometry, and the theory of vector bundles. We focus on the geometry of projectivized toric vector bundles and their connections to Mori dream spaces, matroid theory, and tropical geometry. We generalize previous results on the quotient construction of Gonzalez, Hering, Payne, and Suss (GHPS) by introducing a new approach to describing the geometry of these bundles via associated blow-ups. Additionally, we examine tautological bundles arising from representable matroids and establish connections between their geometry and the wonderful compactification. Finally, we consider the case where Klyachko filtrations have maximal steps …

The Computational Algebra Of Conformal Blocks, Casey B. Hill

Theses and Dissertations--Mathematics

Conformal blocks are objects in quantum field theory that arise from conformal trans- formations, which are symmetries that preserve angles but not length. This aspect of conformal field theory has various interactions with algebraic geometry.

In this dissertation, we explore the underlying algebra and geometry of spaces and algebras of conformal blocks over SLn. We then use this information along with techniques from combinatorial commutative algebra, algebraic geometry, and representation theory to find a presentation of the algebra of SL4-conformal blocks. With this presentation, we then use computational methods to learn about some of the geometric properties of this algebra.

Understanding The Impact Of The Medicaid Expansion On Hospital Length Of Stay And Emergency Department Use In Kentucky, Cameron Bushling

Theses and Dissertations--Epidemiology and Biostatistics

Three related analyses were performed to try to understand the immediate effects of Medicaid expansion on hospital systems in Kentucky. Medicaid expansion led to a large, sudden increase in the number of individuals eligible for various health care needs. This sudden increase in demand for health services lead to initial hypotheses regarding hospitals’ ability to handle this demand. The first analysis examined hospital average length of stay (LOS) using a linear mixed-effects model. Length of stay was modeled longitudinally between 2013 and 2015 to determine if significant changes in the slope of LOS could be detected after expansion (2014). Separate …

Changes In Cancer Diagnosis And Survival In The United States During The Covid-19 Pandemic, Justin T. Burus

Theses and Dissertations--Epidemiology and Biostatistics

The COVID-19 Pandemic led to global societal disruptions as political leaders and public health authorities attempted to control the spread of the newly discovered SARS- CoV-2 virus. While these measures were designed to lessen morbidity and mortality from a novel pathogen, their impact was also felt in many other, often unintended ways. The purpose of this dissertation is to use cancer surveillance research methods to examine the association between COVID-19 Pandemic-related disruptions and changes in the normal diagnosis and care of cancer in the United States.

The first two studies of this dissertation analyzed reductions in cancer diagnoses in the …

Temporal Machine Learning For Predicting Accidents And Violations In The Mining Industry, Nathan T. Kelley

Theses and Dissertations--Mining Engineering

This thesis examines the predictive capability of a temporal machine learning model for forecasting future accidents and violations at individual mines, based on historical data. Mine accidents were categorized by accident classification and violations were categorized by the Part Section. The primary datasets utilized were the mine safety and health administration’s (MSHA’s) Accident Injuries and Violations datasets. The available datasets were cleaned and organized by mine type and commodity, then divided into separate subsets for training, validating, and testing. Different models, cutoff metrics, learning rates, number of hidden layers, data processing methods, data processing divisions, number of points observed …

High-Altitude Balloon-Launched Uncrewed Aircraft System Measurements Of Atmospheric Turbulence And Qualitative Comparison With Infrasound Microphone Response, Anisa Haghighi

Theses and Dissertations--Mechanical and Aerospace Engineering

This study explores the use of a balloon-launched uncrewed aircraft system (UAS) to measure atmospheric turbulence in the troposphere and lower stratosphere using both wind velocity measurements and infrasonic acoustic energy. The UAS, a glider configured for autonomous descent along a predefined trajectory, had on board, in situ sensors to capture thermodynamic and kinematic atmospheric parameters. Additionally, it carried an infrasonic microphone to evaluate its potential for remotely detecting clear-air turbulence by capturing infrasonic waves. The system’s performance was assessed over the course of three test flights conducted in New Mexico, USA, in 2021. The descent enabled high-resolution profiling, with …

Enhancing Public Health Surveillance: Development And Validation Of Machine Learning Models For Suspected Opioid Overdose Detection In Emergency Medical Services Data, Peter J. Rock

Theses and Dissertations--Clinical and Translational Science

The ongoing opioid overdose crisis in the United States requires timely and accurate surveillance systems to inform public health responses. Traditional public health surveillance methods rely on hospital discharge data and death certificates, which suffer from significant reporting delays and miss cases where patients refuse hospital transportation. Emergency Medical Services (EMS) data presents a promising alternative with advantages in timeliness and case ascertainment but lacks validated definitions for suspected opioid overdose (SOO).

This dissertation addresses this critical gap through the development, validation, and fairness assessment of machine learning models with natural language processing (ML-NLP) for identifying SOOs in EMS data. …

Chemical Compositions Of Initial And Residual Silicate Source Glasses From Degassing Experiments: Implications For Mars, Natalie Zimmermann

Geosciences Research Data

These files contain supporting data for the JGR manuscript Trace Element Transport and Deposition during Magmatic Degassing: The Effect on Martian Rocks and Fines. They report the chemical compositions (major oxides and volatiles) of initial and residual silicate source glasses from degassing and vapor-transport experiments. Composition (wt%) of major oxides calculated from EMPA (renormalized on a volatile-free basis); Cl and SO2 from EMPA (wt% based on total of oxides+Cl+SO2); wt% H2O calculated from micro-FTIR. Files include the raw EMPA and FTIR data, processing, and calculations used to obtain the chemical compositions presented in Table 5 of the manuscript.