Physical Sciences and Mathematics Commons^™

Gauge Invariance And Repeated Time Isolated Solution Discontinuities, James Glimm, James Glimm, James Glimm

Department of Applied Mathematics & Statistics Faculty Publications

The main conclusion of this paper is (a) a gauge structure for the underlying physics, at or above a critical dimension, forces multiple time isolated solution discontinuities (blowups). The main conclusion (b) is that the solution is one Sobolev index more singular that the natural Hilbert space H. Proofs are given for Navier-Stokes fluids.

The Role Of Dust Inputs And Sediment Phosphorus Diffusion Into Utah Lake, Utah, United States Of America, Kristen E. Smith

Theses and Dissertations

Human activities have led to excessive nutrient enrichment which is greater than lake systems can naturally assimilate. This process is known as eutrophication and it is driving significant algae growth resulting in the more common release of harmful toxins. Utah Lake, located in Utah County, UT is one such water body that even after major reductions in anthropogenic phosphorus influent, continues to experience frequent, harmful algal blooms. The extent to which natural processes, like atmospheric dust deposition and sediment recycling, contribute to the lake's phosphorus budget is still poorly understood.

To address this gap of knowledge, this study quantified phosphorus …

Wild Robots: Humans, Wilderness, And Technology In Becky Chambers’ Monk And Robot Series, Melissa Moore

Honors Theses

As technology advances and the environment deteriorates, the way people view the relationships between technology, wilderness, and humans becomes essential for society to move forward. To investigate perceptions about technology’s place in an environmentally conscious society, this project examines manifestations of wilderness/wildness and technology in Becky Chambers’ Monk and Robot series through the lens of ecocriticism. Using Timothy Morton's concept of the ecological thought as a framework for analysis, the circumstances present in the novel suggest that the triangle separating humans, wilderness, and technology has actually collapsed, replaced by an enmeshment of technology, wilderness, and humanity.

Integrating Multimodal Analysis For Chemical Detection In Victorian Bookcloth: Correlations, Advantages, And Limitations, Leila Ais, Abigail L. Hoermann, Jafer Aljorani

Student Scholar Symposium

The detection of heavy metals in Victorian textiles presents a set of unique analytical challenges that cannot be addressed through usage of a single modality. Here, we detail a novel multimodal analytical approach that integrates distinct yet complementary instrumentation: inductively coupled plasma-optical emission spectroscopy (ICP-OES) offering precise quantitative elemental analysis, portable X-ray fluorescence (pXRF) enabling rapid, affordable, and non-destructive detection, electron dispersive spectroscopy – scanning electron microscopy (EDS-SEM) mapping elemental distributions and sample topography, and X-ray diffraction (XRD) revealing crystalline structures. This comparative study highlights the strengths and limitations of each analytical technique, demonstrating how their combined use provides a …

Environmental, Social, And Governance (Esg) Teaching Resources For Use In Any Accounting Class, Misty Newby

Student Scholar Symposium

With current and future Environmental, Social, and Governance (ESG) reporting regulations, industry pressures, and stakeholder expectations, many organizations integrate ESG goals into business strategy. To aid accounting faculty in their goal of preparing students with the knowledge, skills, and abilities to create, review, and audit ESG reports, this flexible, three-part ESG teaching module can be used in whole or in part in any accounting course. This teaching resource provides lecture files (Google Slides), lecture notes, and student assignments and can be scaled up or down to fit the lecture needs. Topics covered in the modules include Sustainability, Climate Change, and …

Importance Of Sustainability Within Children’S Hospitals, Ashley Newby

Student Scholar Symposium

Author: Ashley Newby

Presentation Type: Poster

Faculty Mentor: G. Dodd Galbreath

Discipline: Sustainability and Pediatric Nursing

Importance of Sustainability within Children’s Hospitals

Sustainability is an important aspect of every environment that one encounters. For pediatric patients entering a children’s hospital, it is probably not something that is important and at the top of their list when looking for healthcare. However, sustainable children’s hospitals have not only their patients as their first priority, but they also take the earth into account. Some might not realize that they are walking into a sustainable children’s hospital unless someone tells them.

Topics include:

-Look …

Discussion Of The Collatz Conjecture, Morgan Hayes

Student Scholar Symposium

The Collatz conjecture was introduced in 1937, but, despite the efforts of many mathematicians, it has yet to be proven. It appears to have very little connection to other areas of mathematics, although some aspects of it allude to questions similar to those asked in studies of prime numbers and the Riemann Hypothesis. The nature of the Collatz sequence allows it to be useful in cryptography and semi-random number generation. Some, including Craig Alan Feinstein, believe a formal proof of the conjecture is not possible. Others believe mathematics has not been developed enough to resolve the issue. To enter into …

Divinely Woven, Lily Robinette

Student Scholar Symposium

The relationship between science and faith has often been viewed as contradictory, with individuals typically aligning with one perspective or the other. However, a deeper examination reveals that these two ideologies are not independent but are interconnected parts of the greater tapestry of life. This paper takes the audience on a journey through the thought process of a chemistry student of the spiritual and physical being affirming of each other rather than competing ideas. It delves into the concept of complex interactions of atoms and the purposeful design of life that suggest that the universe is not a product of …

Intersecting Physics And Medicine Through Computed Tomography, Christopher Wengert, Madouna Barsoum, Dominick Dingus

Student Scholar Symposium

Computed Tomography (CT) imaging is a cornerstone of modern medicine. Enabling detailed internal imaging for diagnostic and therapeutic applications. This project explores the physics underlying CT imaging, highlighting how fundamental principles of physics integrate seamlessly with medical advancements. We will examine X-Ray generation, attenuation, and image reconstruction, demonstrating how varying tissue densities influence scan results. The role of mathematical algorithms, such as filtered back protection and iterative reconstruction, will be discussed in relation to image clarity and radiation does optimization.

Additionally, we will address the balance between image resolution and patient safety, emphasizing the importance of minimizing radiation exposure while …

Using Feynman's Technique To Evaluate Non-Elementary Integrals Used In Physics, Dominick Dingus, Christopher Wengert, Madouna Barsoum

Student Scholar Symposium

In numerous physical applications, such as those in the fields of optics and thermodynamics, the quantitative description of various phenomena requires evaluating certain definite integrals whose antiderivatives cannot be expressed using elementary functions. As a result, these integrals are typically evaluated numerically using a suitable program. However, it is possible to evaluate some of these types of integrals using a strategy known as Feynman’s Technique, an approach named after Richard Feynman, the American physicist who popularized the method during the mid-20th century. This project aims to highlight the usage of Feynman’s Technique for evaluating some of these integrals while applying …

Innovation In Circular Products For Healthy People, Planet, And Profit, Allison Golata, Misty Newby, Audrey Roberts, Dodd Galbreath

Student Scholar Symposium

Innovation in Circular Products for Healthy People, Planet, and Profit In our consumer-driven economy, companies tend to prioritize manufacturing efficiency to keep up with demand. While current practices can create short-term profits, there are financial and non-financial impacts on people, the planet, and profit. Innovation in circular products can create a win-win for businesses and consumers while meeting the needs of today and promoting future success. In this session, we will discuss the impact of current business processes and consumer practices on people, planet, and profit; explore how circular products can create long-term, sustainable value for business by designing products …

Utilizing Hot Water Treatment Methods On Shallow Rooted Herbaceous Invasive Species In Temperate Deciduous Forests, Ana Manning

Student Scholar Symposium

Abstract

People have been searching for new and innovative ways to control

invasive plant species for centuries. These methods have been categorized into three sections: mechanical,

biological, and chemical. The changing landscape of invasive plant management requires industry professionals to consider innovative technologies when developing their integrated pest management plans. The hypothesis of this research is that utilizing hot water treatment methods on shallow-rooted herbaceous invasive species in temperate deciduous forests will produce equal or better results than traditional integrated pest management methodologies. Six research plots in two locations were developed to test the Heatweed® hot water treatment tool on …

Assessing The Electrical Efficiency Of The Thompson Coil, Christopher Wengert, Dominick Dingus, Madouna Barsoum, Jacqueline Ceballos, Michael Ent, Jackson Stephens

Student Scholar Symposium

The Thompson Coil is a well-known system used in undergraduate electromagnetism courses to demonstrate electromagnetic induction. Traditionally, the system employs a “jumping ring” to visualize induced currents. This project seeks to repurpose this phenomenon for practical energy transfer by replacing the jumping ring with a wire coil, allowing the measurement of the power delivered to an electric load. Using Faraday’s Law of Induction, 𝜖 = −𝑑Φ𝐵 /𝑑𝑡 , where Φ𝐵 represents the magnetic flux, the induced electromotive force (EMF) in the receiving coil is determined. Finally, the system’s power transfer efficiency is evaluated using the formula 𝜂 =𝑃𝑜𝑢𝑡/ 𝑃𝑖𝑛 ×100% …

Complex Numbers And Phone Signals, Ava Barrett, Rebecca Brazeal, Javier Gutierrez

Student Scholar Symposium

Though widely used, complex numbers are often introduced in coursework without real-world context. Our team examines their application in electromagnetic waves and communication systems, focusing on how they help model and analyze phone signals. By connecting concepts from physics and math, we demonstrate their role in signal modulation and transmission. Through this project, we aim to highlight the practical importance of complex numbers in modern technology and provide a clearer understanding of their use in communication systems that power everyday devices like smartphones.

Visualizing And Evaluating Binary Classifier Performance With Contingency Space, Colin D. Kehoe, Azim Ahmadzadeh

Undergraduate Research Symposium

Traditional metrics for evaluating binary classifiers, such as Accuracy, F1 Score, and True Skill Statistic (TSS), often obscure the underlying tradeoffs between true positive and true negative performance—particularly in imbalanced or high-stakes domains. This poster introduces the Contingency Space, a two-dimensional representation of classifier behavior defined by true positive rate (TPR) and true negative rate (TNR). Within this space, scalar performance metrics become geometric surfaces, revealing how scores vary across the entire landscape of possible classifier outputs.

We present a Python package that implements this framework, enabling users to map model predictions into the Contingency Space, visualize metric surfaces …

A Study On The Great Comet Of 2024: C/2023 A3 (Tsuchinshan–Atlas) Via Radio Interferometry, Jesse Bier, Nathan X. Roth

Undergraduate Research Symposium

Our solar system is approximately 4.5 billion years old. Comets are remnants of its formation, serving as time capsules to give us an understanding of its natal heritage. Revealing our own solar system’s history allows us to gain insights into other young stellar systems and the potential for life elsewhere. C/2023 A3 (Tsuchinshan–ATLAS) was a comet from the Oort cloud on its first and possibly only journey to the inner solar system. The comet grew in brightness until it was brighter than Venus on October 9^th, 2024, making it temporarily brighter than Venus and one of the brightest …

Pixel-Perfect Segmentation Of Solar Filaments, Jamie Harris

Undergraduate Research Symposium

The observation and classification of solar filaments has a drastic impact on the ability to predict solar-magnetic weather phenomena that threatens to put both satellite infrastructure and astronauts at risk. Using the Hɑ filter provided by the Global Oscillations Network Group (GONG), a network of six telescopes around the world dedicated to 24/7 surveillance of the sun, we are able to get images that clearly and prominently display filament activity. With the vast amount of images the GONG takes, it is not possible to manually analyze every image. Using the U-Net model for computer vision, we were able to train …

Face Value: A Computational Approach To Subjective Impressions Of Faces, Kevin Kpankou

Undergraduate Research Symposium

Various computational models of first impressions have been developed to uncover the mechanisms driving these judgments. However, the implicit notion of a singular ``human'' often overlooks meaningful individual differences in beliefs, attitudes, and associations, as well as culturally grounded group-level constructs. In this paper, we extend Cultural Consensus Theory (CCT) to estimate culturally shared beliefs about faces by incorporating latent constructs structured around interpretable facial features extracted via computer vision algorithms. We apply our model to a large-scale dataset of people’s first impressions of faces. Our approach reveals a robust mapping between facial features and culturally constructed impressions, allowing us …

Photoflow Synthesis And Characterization Of Cis- And Trans-N-Isohumulone, Gregory M. Giovine, Bradley Gallow, Trevor Smith, Bruce Hamper

Undergraduate Research Symposium

Previously published efforts by the Hamper group demonstrated the viability of photochemistry in the isomerization of n-humulone to n-isohumulone. Photochemical isomerization reactions of n-humulone performed under 400nm light over 8 hours resulted in high yields (84% reported) of largely trans-n-isohumulone (>95%). These promising results invited further examination of the photochemical process and the application of photoflow procedure. Herein we report the beginnings of a comprehensive slate of n-humulone isomerization reactions performed under iterative photoflow conditions.

Nature Naturing In And As Place, Edward S. Casey

Duquesne Studies in Phenomenology

In this brief article, I single out two distinctly different kinds of natural place, attempting to show how these not merely contrast with each other but display larger patterns or tendencies that are also found in many other sorts of place. This is to take one integral step to a larger ecology of places provided by the natural world and from which human and nonhuman beings draw life and motion that sustain and support many ways of existing on earth. Without such places, we—and every other form of life—would perish or would not even exist to begin with. It is …

Connecting Business Innovation & Climate Impact, San Diego Regional Climate Collaborative, Alexander Pourfard, Aranza Ruvalcaba, Fowzia Farah

San Diego Regional Climate Collaborative

The La Mesa Green Business Network (GBN) is a City-led initiative developed in partnership with the San Diego Regional Green Business Network to advance local climate goals by engaging the business community in practical, measurable sustainability actions. Launched in 2022 as part of La Mesa’s Climate Action Plan, the GBN addresses common barriers faced by small and medium-sized businesses such as limited capacity, resources, and technical expertise by providing free, industry-specific consulting, certification, and public recognition. Through tailored guidance on energy efficiency, water conservation, waste reduction, and transportation practices, the program translates citywide climate objectives into on-the-ground action while delivering …

Gauss’S Method For Orbital Determination, Milagros Tamara Giraldo

Honors Program Theses and Projects

Accurately predicting the orbital trajectory of celestial objects is essential for precise spacecraft navigation, planning planetary missions, avoiding potential collisions with space debris, and studying the long-term stability of planetary systems. Gauss’s method for orbital determination provides a way to predict the path of a celestial body accurately using only a small number of observations. In this project, we create an implementation that is not just a tool for executing Gauss’s method, but also an opportunity to study the formulation of the method itself. It allows for a practical and detailed examination of how different inputs, assumptions, and numerical choices …

Enhancing Silicon Sampling In Large Language Models: Fine-Tuning Techniques Using Survey Data, Davis P. Forster

Theses and Dissertations

Large language models (LLMs) are increasingly used to simulate responses of human demographic groups, a task known as silicon sampling. This paper investigates whether supervised fine-tuning can improve algorithmic fidelity in such settings. We construct a dataset from the General Social Survey (GSS), converting demographic attributes into natural-language backstories and randomly selecting one attribute as a held-out target. Fine-tuning a LLaMA-3.1-70B model on this dataset yields significant improvements on two tasks: (1) imputing missing attributes at the individual level, and (2) reproducing response distributions for demographic slices, such as racial and age groups. Notably, these improvements are achieved with minimal …

Cyber-Physical Framework For Smart Paint Manufacturing: Hybrid Integration Of Plc And Recipe Management Simulation, Stephen A. Michael, Anas M. Atieh, Emmanuel Nkwocha, Nathir A. Rawashdeh

Michigan Tech Publications

This study investigates the implementation of Industry 4.0 paradigms in the context of smart paint manufacturing, focusing on process control and recipe management through the integration of Ignition SCADA, a Siemens programmable logic controller (PLC), and a MySQL Workbench database. The developed architecture employs Ignition as an interoperable communication interface that facilitates bidirectional data exchange between the PLC and the database, thereby establishing a cyber-physical system for automated monitoring and control. The digital recipe management module formalizes paint formulations into parameterized datasets specifying paint and solvent ingredient ratios, process variables, and operational constraints, which are executed autonomously by the control …

Microbial Communities Of Selected Regions Of The Deep Springs Lake Aquifer System, Rania Zaki, Emma Bourne, Andrew Storino, Jay Nadeau

Physics Faculty Publications and Presentations

Deep Springs Lake is a small, isolated, highly alkaline soda lake in Inyo County of Eastern California, USA. It is a seasonally filled salt lake or playa, and is part of a closed aquifer system. Such closed systems are globally rare, occurring only in arid zones where annual evaporation is greater than annual rainfall. Deep Springs Lake’s hydrology and geology have been well studied, and it is home to a unique toad species, but its microbiome remains unexplored. Here we perform 16S, 18S, and ITS amplicon sequencing of the lake water, dried salt crust at the edges the lake, and …

Design, Synthesis And Biological Activities Of N-Substituted Phthalimide Derivative, Beaula Mangundah

Honors Theses

Phthalimides are a group of compounds among bicyclic non-aromatic nitrogen heterocycles that have gained recognition for their bioactivity across various fields, notably anti-cancer, anti-microbial, anti-oxidant, and anti-inflammatory. This study discusses the synthesis of a novel phthalimide derivative and provides an analysis of its biological activity. It was conducted through a Boric acid Imide synthesis and yielded a successful derivative using hexylamine. The product was evaluated in vitro for antimicrobial, anticoagulant, and anti-inflammatory properties using Kirby-Bauer disk diffusion, clotting time, hemolysis inhibition, and protein denaturation assays. It showed mild anticoagulant and anti-inflammatory activity.

Advanced Soliton Structures And Elliptic Wave Patterns In A Sixth-Order Nonlinear Schrödinger Equation Using Improved Modified Extended Tanh Function Method, Mina Fahim, Hamdy Mohamed Ahmed, Islam Samir, Kamal Dib

Basic Science Engineering

In this work, a sixth–order extension of the nonlinear Schrödinger equation (NLSE) within its integrable hierarchy is investigated to model higher–order nonlinear and dispersive effects relevant to optical fiber systems and nonlinear wave propagation. By employing the Improved Modified Extended Tanh Function Method, a comprehensive family of exact analytical solutions is derived, encompassing bright and dark solitons, singular soliton structures, and singular periodic solutions. In addition, solution families expressed in terms of Jacobi elliptic functions, Weierstrass doubly periodic elliptic functions, and exponential profiles are obtained. The novelty of this study lies in extending the analytical framework of the NLSE hierarchy …

Tests Without Borders: A Global Approach To Measuring Visualization Literacy, Olivia A. Guess

McKelvey School of Engineering Graduate Student Theses & Dissertations

Visualization literacy assessments shape how we understand people's ability to interpret data, yet most existing instruments embed Western datasets and assumptions that limit their relevance for global audiences. This thesis argues that because data is personal, assessments must also be culturally grounded. We introduce a unified framework for adapting the Mini-VLAT into 22 regionally responsive short-form assessments, each retaining the structure of the original test while incorporating datasets and scenarios tailored to specific regions around the world. To demonstrate how such adaptations can be customized and validated, we present a detailed case study of a Ghana-adapted Mini-VLAT, developed in collaboration …

Parametric Control And Amplification In Superconducting Quantum Systems: From Entanglement Probes To Pt-Symmetric Architectures, Chandrashekhar Rao Gaikwad

Arts & Sciences Graduate Student Theses and Dissertations

The precise control, entanglement, and measurement of quantum systems are central challenges in realizing scalable quantum information processing. This dissertation investigates how parametric modulation and engineered nonlinearity can be harnessed to both manipulate and measure superconducting qubits with high fidelity. In one part, controlled parametric drives are used to generate entanglement between qubit pairs and employ their joint states as probes of environmental dynamics. This approach enables the exploration of the non-Markovian nature of quantum environments, revealing how memory effects influence qubit coherence and energy relaxation. In a separate but conceptually related study, the same principle of parametric driving is …

Indigenizing Aquaculture: In Pursuit Of An Integrated Multi-Trophic Aquaculture System For Enhanced Self-Sufficiency In Akaroa Harbour, Aotearoa New Zealand, Cali R. Trainor

Capstone Collection

This study assessed the feasibility of integrating two pre-existing aquaculture activities in Akaroa Harbour, Aotearoa New Zealand into an integrated multi-trophic aquaculture (IMTA) system. The cultivation of giant kelp (Macrocystis pyrifera) presents an opportunity to improve the sustainability of Chinook salmon (Oncorhynchus tshawytscha) farming by introducing alternative food sources for salmon, which can be used to produce fish feed locally, enhancing the self-sufficiency of the community and boosting the holistic efficiency of the system. Macroinvertebrates residing in giant kelp wrack were collected, identified, and quantified to determine if any of the Macrocystis-associated specimens could serve as …