Toward The Study Of Photon Dynamics In Non-Separable Spacetimes, Kara Nelson

Graduate Masters Theses

Black holes provide a unique laboratory for testing general relativity in the strong-field regime through observations such as black hole images and gravitational wave signals. Comparing theoretical predictions with these observations requires accurate numerical models of photon trajectories. This thesis develops and validates a generalized ray-tracing framework for computing null geodesics in stationary, axisymmetric spacetimes. Unlike many existing ray-tracing methods, the framework does not rely on metric separability or analytic solutions, allowing it to be applied to both separable and non-separable spacetimes. The framework is validated by reproducing known Schwarzschild and Kerr results and is applied to a quasi-Kerr spacetime …

Synthesizing Viscoelasticity: Living Polymers, Micro-Macro Relations, And Paths For Resolution, Adam M. Hasler

Graduate Masters Theses

This thesis investigates the relationship between macroscopic rheological signals and underlying microscopic dynamics in complex fluids, specifically focusing on ”living polymers” within the cetyltrimethylammonium bromide (CTAB) and sodium salicylate (NaSal) surfactant system. The research addresses the inverse parameterization problem, demonstrating how bulk measurements like zero-shear viscosity can mask fundamentally different physical topologies, such as purely cylindrical, reptating micelles versus highly branched networks. Through the successful synthesis of viscoelastically ”degenerate” samples, the study utilizes an array of characterization techniques including frequency sweeps, Large Amplitude Oscillatory Shear (LAOS) to resolve these unique underlying states. Furthermore, the work explores further avenues of study …

Towards The Development Of Targeted And Quantitative Mass Spectrometry Methods For The Investigation Of Biological Systems, William Gazlay

Graduate Doctoral Dissertations

Mass spectrometry has become an essential analytical platform for the characterization of complex biological systems, enabling detailed investigation of molecular structure, post-translational modifications, and protein expression. This dissertation applies modern mass spectrometry methodologies to three analytical challenges spanning lipidomics and proteomics.

The first study examined the influence of complexing agents on the sensitivity of collision-induced dissociation (CID) spectra to fatty acid position in synthetic XYZ-type triglycerides. Comparison of ammonium, lithium, and sodium adducts demonstrated that alkali metal adducts provide substantially improved positional sensitivity and greater consistency across triglyceride systems. These findings support the use of lithium and sodium adducts for …

A Statistical Mechanics Approach To Reinforcement Learning, Jacob Adamczyk

Graduate Doctoral Dissertations

Reinforcement learning (RL), the study of optimal decision-making over long timescales in stochastic systems, has recently seen remarkable advances due in large part to the efforts of the deep learning community. RL has witnessed great success in solving problems in video games, robotics, biological control, and language modeling. However, a unified statistical mechanics framework to understand and develop the corresponding algorithms is lacking. To address this issue, we begin by showing that the reinforcement learning problem can be formulated and solved using the tools of statistical mechanics. Drawing on physical principles of free energy minimization and invariance, we address important …

Social Experiences Of Chinese International Students At A Us Liberal Arts College, Ke Yao

Graduate Doctoral Dissertations

This study provided detailed empirical evidence on social experiences of Chinese international students within a US liberal arts college context through examining their race, culture, gender, social class, and mental health experiences. This study showed that the experiences of Chinese international students in the US higher education institutions are influenced not only by individual adaptation but also by broader social and institutional contexts. First, findings of this study demonstrated that institutional features of liberal arts colleges, such as small campus environment, residential nature, and more interactive opportunities between domestic and Chinese international students, can simultaneously create opportunities for inclusion and …

Solving For X: Centering Black Girls’ Experiences In Mathematics Education, Natasha A. Fortes

Graduate Doctoral Dissertations

Black girls can grow up, attend school, and move through their math classes without ever feeling seen as capable mathematical thinkers. Their teachers may not affirm their brilliance. Their voices may even go unheard. Math classes may not be a space where they can imagine themselves belonging. These experiences do not reflect ability. Instead, they reflect on the conditions in which they are expected to learn. This study centers the voices of Black girls and asks what they deserve from their mathematics education and instructors to develop a mathematics identity. The study is grounded in Black feminist traditions and draws …

Multicomponent Reaction-Initiated Synthesis Of Polyheterocyclic Compounds, Ashutosh Nath

Graduate Doctoral Dissertations

Efficient synthesis of novel heterocycles with biological interest remains a challenge in modern organic chemistry. This dissertation presents the development of efficient synthetic strategies that combine multicomponent reactions (MCRs) with sequential reactions for rapid access a diverse array of polyheterocyclic compounds. The projects are: 1) Groebke-Blackburn-Bienaymé (GBB) reaction followed by N-acylation and Friedel-Crafts (FC) cyclization for the construction of imidazopyridine- and indole-fused azepinones involving an unusual ring-expansion process. 2) Modified GBB condensation products for intramolecular Diels-Alder (IMDA) cycloaddition and dehydrative re-aromatization to access imidazopyridine-fused isoquinolinones. 3) Integration of the Ugi-three component reaction (Ugi-3CR) and Pictet-Spengler (PS) reaction followed by …

Modeling Kinetics Of 5-Aminolevulinic Acid-Induced Protoporphyrin Ix Accumulation For Optimal Photodynamic Therapy, Priscilla Melebor

Graduate Masters Theses

Photodynamic therapy (PDT) is a minimally invasive treatment that uses light-activated photosensitizers to selectively destroy diseased tissue through the generation of reactive oxygen species. However, conventional in vitro models often fail to accurately reproduce the pharmacokinetics of photosensitizer accumulation and clearance observed in vivo. This study investigated protoporphyrin IX (PpIX) accumulation following 5-aminolevulinic acid (ALA) exposure under physiologically relevant conditions using two-dimensional (2D) monolayers and three-dimensional (3D) spheroids. By comparing continuous ALA exposure with transient exposure followed by ALA washout, this work provides a more biologically relevant framework for studying PpIX kinetics and optimizing photodynamic therapy.

Symmetric Informationally Complete Positive Operator Valued Measures Minimize P-Norm Difference Between Quantum And Classical Probability Rules, Austin Monaghan

Graduate Masters Theses

Experimental violations of Bell's inequality demonstrate quantum theory's incompatibility with a local hidden-variable formulation. Simply put, either 1) measurements performed at one point in space may instantaneously influence far away systems ("spooky action at a distance") or 2) measurement outcomes are not the result of pre-existing properties. The act of measurement takes part in the very creation of the outcomes. If we reject condition 1 as a valid assumption, how can we interpret the significance of condition 2 i.e. no local parameters?  In QBism, condition 2 arises from something deeper: that the Born rule expresses a nonclassical condition for connecting …

Spider Biodiversity And Insecticide Sensitivity Across Active And Restored Cranberry Bogs On Nantucket, Tyler J. Kulak

Graduate Masters Theses

Spiders are one of the most diverse groups of organisms on the planet with over 53,000 species described as of 2026. They provide a suite of ecosystem services including their regulation of problematic pests in agricultural systems, appearing in high biomasses across a breadth of ecological niches. While beneficial as pest regulators, they are also susceptible to the same management techniques as pest organisms and are especially vulnerable to chemical control. Cranberry production in Massachusetts likely benefits from spider ecosystem services, but diversity research on spiders in these systems is limited. This study compares the diversity of spider populations from …

The Grasshopper's Journey To The Bloch Sphere, David Llamas

Graduate Doctoral Dissertations

The Grasshopper Problem asks a simple geometric question. A grasshopper lands on a lawn of fixed area and jumps a fixed distance in a random direction. What shape of lawn maximizes the probability that the grasshopper remains on the lawn after jumping? The jump rule is rotationally symmetric, but the best lawns do not have to be. This dissertation studies how that symmetry breaking occurs, maps the continuum problem to a novel constrained spin system, and uses the spherical Grasshopper Problem to compare quantum singlet correlations with classical local models.

For planar lawns, boundary-integral and perturbative calculations explain why the …

“Nothing About Us Without Us”: Examining Sense Of Belonging And College Success Through The Experiences Of Students With Autism Spectrum Disorder, Courtney E. Mulligan

Graduate Doctoral Dissertations

Sense of belonging has become an increasingly important indicator of student engagement, persistence, and success in higher education. Despite this, limited research has explored how college students with autism experience and define belonging while at college. As increasing numbers of students with autism pursue postsecondary education, institutions face a growing need to better understand the factors that influence student experiences and outcomes. The purpose of this mixed-methods study was to investigate the experiences of sense of belonging among current college students with autism and identify the factors that contribute positively or negatively to this experience to inform more inclusive higher …

I Must Be Well, To Do Well: Examining The Relationship Between Toxic Stem Environments, Trauma, Stem Support, And Academic Outcomes Among Diverse Graduate Women In Stem, Aisha Farra

Graduate Doctoral Dissertations

Women, particularly Women of Colour (WOC), remain underrepresented in STEM. In the last two decades, research has sought to better understand women’s experiences in STEM, highlighting challenges such as isolation, sexism, and racism, which negatively impact mental health and STEM persistence. While these mental health challenges have been documented, further work is needed to examine how these experiences are related to trauma symptoms and physical health outcomes, as well as the mechanisms through which they shape academic outcomes. This quantitative study investigated the relationships among toxic STEM experiences (i.e., gendered racism, sexism, and isolation), trauma symptoms and physical health concerns, …

The Phytochemical Content And Antibacterial Activity Of Purified Extract Of Mangifera Indica L. Against Gram Positive Pathogen, Dewi Andini Kunti Mulangsri, Masduki Faqih, Sugar Arifin, Mutiara Trie Sieya Agustin

Pharmacology and Clinical Pharmacy Research

The purified extract of arum manis mango leaves contained flavonoid compounds by TLC methods and antibacterial activity against Gram-positive and negative pathogens. This research aimed to identify and determine the phytochemical content (mangiferin and flavonoids content) and antibacterial activity against other Gram-positive pathogens. Purification of ethanol extract of arum manis mango leaves by liquid-liquid fraction method. Determination of total flavonoid content and identification of mangiferin used respectively by aluminum chloride and Thin Layer Chromatography method. The disk diffusion method was used to assay antibacterial activity against S. epidermidis, and B. subtilis bacteria with the concentration of the sample such …

Using Clustering Techniques And Mitre Att&Ck Threat Interpretation To Detect Anomalies In Modbus/Tcp For Industrial Control Systems, Shivanjali Khare, Tirthankar Ghosh, Jhansi Sreya Jagarapu, Atharva Haridas Sagare

Journal of Cybersecurity Education, Research and Practice

Recent attacks on America's critical infrastructure have drawn increased attention on securing industrial control systems and operational technology in power plants, utility companies, and other sectors providing public services. Attack detection and mitigation strategies on these systems have shown promising results using machine learning and other statistical baselining techniques, mostly using supervised learning and classification. Unsupervised learning using cluster analysis and other techniques remain mostly unexplored. In this paper, we propose multi-layered feature extraction and hybrid clustering framework to detect fine-grained nested attack patterns in Modbus-over-TCP traffic. Operating under the assumption of known number of distinct network categories, our approach …

Concepts For Supporting Indigenous And Tribal Information And Research Needs, Sharon Hausam

Faculty Publications

This is a working paper produced as part of National Science Foundation project #2115169, “Transforming Rural-Urban Systems: Trajectories for Sustainability in the Intermountain West,” known as the “Intermountain West Transformation Network” (TN), led by the University of New Mexico with institutional partners at three additional universities in New Mexico, two in Arizona, and one each in Utah, Colorado, and Washington. The TN’s Indigenous and Tribal engagement was supported through a contract with Dr. Sharon Hausam, additional work by Aaron M. Canter, coordination with Dr. Lani Tsinnajinnie, and an Advisory Committee on Indigenous Information Needs primarily comprised of Indigenous representatives in …

The Rider (2026-08-31), Daniela Chapa-Reyes

The Rider Archives

Vol. 12, No. 2

A Post-Positivist Perspective On The Varieties Of Qualitative Research: The Foris Framework, Marius Bytautas

The Qualitative Report

With the aim of bringing clarity to the realm of qualitative research—and offering a transition from tradition to methodological rationale—I employ Millian and Popperian inductive analysis methods to build a post-positivist account regarding the diversity of qualitative research varieties. I am responding to the problem that common labels in qualitative research often obscure the epistemic reasoning through which a study approaches its object. A brief set of working definitions is introduced to support the framework, but the main contribution is the conceptualization of research approach in five dimensions: focus, orientation, relation to the object, researcher intrusiveness, and scale (FORIS). By …

Exposing And Addressing Machine Learning Brittleness Through Constraint Solving, Muyeed Ahmed

Dissertations

Machine Learning (ML) implementations are fundamentally brittle: nondeterministic, inconsistent, and prone to overfitting; however, constraint solving can be used to systematically expose, quantify, and address this brittleness.

This dissertation first establishes that widely-used implementations of popular ML algorithms are nondeterministic (producing different outputs on the same input, across different runs) and inconsistent (different implementations of the same algorithm producing different outputs on the same input). This is more prevalent in Unsupervised Learning (UL) implementations where, due to the lack of a ground truth, subtle execution errors can go unnoticed and are difficult to verify. Nondeterminism and inconsistency also introduce security …

Development Of Ultrafast Protein Digestion And Standards Free Quantitation Methods For Mass Spectrometric Analysis, Praneeth Ivan Joel Fnu

Dissertations

A wide variety of biologically important molecules, such as enzymes, antibodies, hormones, transporters and receptors are proteins by composition and they play key roles in biological functions such as cellular regulation, communication, metabolism and physiological function. Protein dysfunctions and abnormalities are associated with numerous diseases, making proteins critical targets for understanding disease mechanisms and developing therapeutic interventions. Protein-based therapeutics such as monoclonal antibodies, hormones and vaccines gained popularity due to their high specificity, efficacy, and ability to treat complex diseases that are often difficult to address with small-molecule drugs.

Given the important role of proteins in a variety of biological …

The Inverse Elasto-Acoustic Problem, Patrick Grice

Dissertations

A stable and numerically efficient boundary integral method formulation of the elasto-acoustic problem is presented, based on Fourier analysis. The method generalizes well to multiple scattering. The Frechet derivative of the elasto-acoustic problem with respect to shape perturbations is derived, and geometric flow theory is used to design stable numerical methods for the simulation of moving boundaries. The shape derivative is used to define a regularized Gauss-Newton algorithm for shape fitting of elasto-acoustic scatterers.

Geometric Convergence And State-Space Decompositions For Stochastic Gradient Descent Markov Chains, Philip Zaleski

Dissertations

No abstract provided.

Solar Wind - Magnetosphere - Ionosphere Coupling Processes Through Small-Scale Magnetic Flux Ropes, Youra Shin

Dissertations

Small-scale magnetic flux ropes (SMFRs) in the solar wind are examined to determine their properties in the near-Earth upstream region and their effects on geospace. Although SMFRs are observed frequently in the solar wind, their statistical behavior near Earth and their role in solar wind-magnetosphere-ionosphere coupling remain insufficiently constrained. In this dissertation, an automated Grad-Shafranov reconstruction technique is applied to magnetic field and plasma measurements from MMS and Wind, and ionospheric responses are investigated using geomagnetic indices and SuperDARN observations. During the survey period, MMS has an apogee of approximately 25-29 R_E. This orbital configuration allows the near-Earth …

Re: 2nd Quarter 2026 – Interim Site-Wide Surface Water Monitoring Data Report Silver Bow Creek Butte Area Npl Site, Butte Priority Soils Operable Unit Consent Decree-Civil Action No. Cv 89-039-Bu-She, Josh Bryson

Silver Bow Creek/Butte Area Superfund Site

No abstract provided.

Draft Final Butte Priority Soils Operable Unit Unreclaimed Sites: Ur-35 Construction Completion Report (Ccr), Pioneer Technical Services, Inc.

Silver Bow Creek/Butte Area Superfund Site

The purpose of this Butte Priority Soils Operable Unit (BPSOU) Unreclaimed (UR) Sites Construction Completion Report (CCR) is to describe the tasks completed as described in the Final BPSOU UR Sites: UR-35 Remedial Action Work Plan (RAWP) (referred to herein as RAWP; Atlantic Richfield Company, 2025) (Appendix A). This CCR was prepared to outline Remedial Action (RA) tasks performed at the UR source area, UR-35, within the BPSOU (referred to herein as UR-35 Site or Site) as part of the Further Remedial Elements Scope of Work described in the BPSOU Consent Decree (EPA, 2020). All work was completed according to …

A Discrepancy Evaluation Of Workforce Capacity And Emerging Skills: A Utah Case Study, Lendel K. Narine, Paul A. Hill, Andreé Walker-Bravo

Extension Research

This study examined employer-perceived competency discrepancies, anticipated competency requirements, hiring barriers, and valued educational experiences in Utah. Survey data were collected between September and October 2025 from 226 individuals with hiring responsibility in Utah-based organizations. The Ranked Discrepancy Model (RDM) quantified discrepancies between respondents’ ratings of competency importance and their satisfaction with demonstrated employee proficiency. Respondents reported the largest discrepancies for time management, critical thinking, conflict resolution, ethical judgment, and verbal communication of ideas. Respondents rated communication, collaboration, analytical thinking, and lifelong learning highest among competencies anticipated to matter most over the next five to ten years. Most employers identified …

Infrared Detectability Of Whale Species And Behaviors To Enhance Automatic Detection For Real-Time Vessel Strike Avoidance, Laura J. Howes

Graduate Masters Theses

Real-time detection of large whales at sea is critical for mitigating serious injury and mortality from ship strikes and other human activities such as seismic surveys, especially for endangered species such as the critically endangered North Atlantic Right Whale (Eubalaena glacialis). Traditional marine mammal observers are limited by environmental conditions and human factors, necessitating a robust, 24-hour solution. This study investigates the efficacy of a novel onboard detection tool infrared (IR) technology to detect whale blows and body parts. While IR is a promising advancement, its performance under varying sea conditions (e.g., fog, humidity) and its ability to …

Electrolyte Development And Interfacial Reactions At Multivalent Metal Anode For Next Generation Energy Storage Systems, Leslie Gates

Graduate Masters Theses

The increasing demand for safe, sustainable, and high-performance energy storage systems has driven significant interest in multivalent-ion batteries, including aluminum, magnesium, and zinc-based systems. These technologies have attracted attention due to their high theoretical energy densities, natural abundance, low cost, and environmentally benign nature. However, their development remains hindered by a limited fundamental understanding of electrolyte development and interfacial processes at the electrode–electrolyte interface, where complex electrochemical interactions govern battery performance and stability.

This thesis investigates electrode–electrolyte interactions in both a novel aluminum electrolyte and divalent magnesium and zinc systems. Beginning with the development and characterization of a novel aluminum …

Predictive Modeling Of Heavy Metal Pollution And Ecological Risk For Sustainable Water Quality Management In The Ny–Nj Harbor System, Md Shahnul Islam, Sara Naveed, Huan Feng, Tapos Kumar Chakraborty

Department of Earth and Environmental Studies Faculty Scholarship and Creative Works

Evaluating and forecasting surface water quality is essential for protecting aquatic ecosystems and improving water resource management. This study introduces a novel paradigm that integrates machine learning (ML) with the potential ecological risk index (PERI) to dynamically forecast, rather than statically assess, ecological risks from heavy metal contamination in an urban estuarine environment. Surface water samples from the Lower Passaic River in New Jersey, USA, were analyzed for copper (Cu), lead (Pb), and mercury (Hg) across multiple sites and sampling campaigns. Concentrations ranged from 3.1 to 42.6 µg/L for Cu, 1.8 to 25.4 µg/L for Pb, and 0.12 …

Mathematical Models Of Magnetoelastic Acceleration Transducers Developed Based On The Theory Of Lumped Parameter Circuits, Amirov Fayzullayevich Sulton, Kamila Kamilovna Jurayeva, Shovkat Dilshodovich Turayev

Chemical Technology, Control and Management

In this article, based on the theory of lumped-parameter circuits, algebraic and differential equations describing the mechanical, electrical, and magnetic circuits of new magnetoelastic acceleration transducers, their analytical solutions, as well as mathematical models establishing the relationship between the electromotive forces at the outputs of the transducers and acceleration, which is the input quantity of the transducer, have been developed. Analysis of these mathematical models and the graphs constructed on their basis shows that under the influence of acceleration applied to the transducers, with an increase in the mechanical stresses arising in the magnetic circuit of the transducer, a redistribution …