Physical Sciences and Mathematics Commons^™

Finding The Common Denominator: Understanding The Shared Experiences Of Female Math Majors, Abigail R. Rosenbaum

Honors Theses

Despite efforts to increase gender diversity in STEM fields, women remain underrepresented in mathematics, especially in advanced academic and research positions. This study aimed to explore the experiences of female math majors as they attempt to navigate this male-dominated space. Through qualitative interviews with seven female math majors, two female math professors, and a focus group with education majors at Woodbridge College, small liberal arts college in the United States, several common themes were identified that define the experiences of female math majors. The findings suggest that math is held at an elevated status in society and that there is …

Elliptic Curves Over Finite Fields, Christopher S. Calger

Honors Theses

The goal of this thesis is to give an expository report on elliptic curves over finite fields. We begin by giving an overview of the necessary background in algebraic geometry to understand the definition of an elliptic curve. We then explore the general theory of elliptic curves over arbitrary fields, such as the group structure, isogenies, and the endomorphism ring. We then study elliptic curves over finite fields. We focus on the number of F_q-rational solutions, Tate modules, supersingular curves, and applications to elliptic curves over Q. In particular, we approach the topic largely through the use …

Tracing North Atlantic Continental Erosion Events During The Mid-Pleistocene Transition, Cecilia T. Bowe

Honors Theses

The Mid-Pleistocene Transition (MPT), which occurred between 1.2 and 0.7 Mya, is characterized by changes in the periodicity and intensity of glacial-interglacial cycles. Early research into this event found that it was not triggered by changes in orbital forcing, but rather by internal climate processes. Previous studies have constrained a probable two-step mechanism, in which erosion of regolith under ice sheets increased glacial volumes and contributed to increased carbon sequestration in the Southern Ocean. Additional research has built on this, suggesting that increased glacial erosion of cratons surrounding the North Atlantic preceded a major weakening of the Atlantic Meridional Overturning …

Trends In Cyanotoxin Production Potential In China Lake: An Edna Analysis Of Microcystis And Dolichospermum And The Environmental Drivers Of Cyanotoxin Production, Gennifer M. Rubin

Honors Theses

Episodes of cyano-harmful algal blooms (cyano-HABs) are hypothesized to be exacerbated by the effects of climate change. However, the dynamics of the interactions between elements of climate change and toxigenic cyanobacteria proliferation are not well defined. China Lake is the drinking water source for 7 municipalities in the Kennebec County and is one of many lakes in central Maine that has been subjected to high levels of cyano-HABs and microcystin toxin contamination in recent years. Monitoring the toxicity of these blooms in relation to various aspects of climate change may lead to identification of the major drivers of microcystin production …

Detecting High-Lying Rydberg States Using Two-Step Electromagnetically Induced Transparency And Frequency Modulation Spectroscopy Techniques, Kate Jensen

Honors Theses

Resonant optical excitation of high-lying Rydberg states in room temperature 85Rb was investigated using light from two homemade external cavity diode lasers (ECDL). This was done using a ladder schema of the Electromagnetically Induced Transparency (EIT) technique. The approximate EIT wavelengths used were 780 nm (the probe beam) to provide step-wise excitation of valence rubidium electrons from the 5S1/2 → 5P3/2 tran- sition, and then 482 nm (the coupling beam) to excite from the 5P3/2 state to a high-lying Rydberg nD state with an orbital angular momentum = 2. Successful excitation of the Rydberg states was observed using Frequency Modulation …

The Implementation Of Augmented Reality And Low Latency Protocols In Musical Instrumental Collaborations, Qixiao Zhu

Honors Theses

Past projects involving musical software have been completely virtual, while these software do well in entertainment and education, there is the question of whether these software are playable to the same extent as physical musical instruments. The software presented in this paper, "AR Jam", utilizes various software and hardware tools to form a networked mixed reality system for the users to play music on. The intention of this project is to seek new ways to explore more playable musical instruments in the digital world. The paper presents the software's implementation, challenges such as optimization problems of the synthesizer, and the …

Particle Swarm Optimization For High Rigidity Spectrometer, Yicheng Wang

Honors Theses

The goal of this project is to find reliable parameter settings for a multi-dimensional global optimizer to optimize the performance of a large acceptance ion optical system for the requirements of nuclear physics experiments. We develop and test the Particle Swarm Optimization (PSO), a global optimization algorithm designed for continuous multi-dimensional problems, on a large acceptance particle beam separator, the High Rigidity Spectrometer (HRS) at the Facility for Rare Isotope Beams (FRIB), which is a laboratory specializing in the production and experimental study of short-lived nuclear matter. We split the HRS into two sections, the High-Transmission Beamline (HTBL) and the …

Selective Melt Recrystallization Of Acetaminophen Polymorphs Through Environmental Control, Eleanor Lowe

Honors Theses

Polymorphism is the ability for a molecule to crystallize into multiple different structures in the solid state. The preparation of one polymorph over another is practically important to pharmaceutical development, as properties of polymorphs can vary and impact the drug delivery method. Polymorph outcomes depend heavily on the environment in which the crystal is nucleated, or initially formed. Acetaminophen, the active ingredient in Tylenol, is one example of a polymorphic compound. Here we use acetaminophen as a model system to better understand primary factors controlling polymorph selection and interconversion. We hypothesize a specific atmospheric environmental factor plays large role in …

Graphs, Adjacency Matrices, And Corresponding Functions, Yang Hong

Honors Theses

Stable polynomials, in the context of this research, are two-variable polynomials like $p(z_1,z_2) = 2 - z_1 - z_2$ that are guaranteed to be non-zero if both input variables have an absolute value less than one in the complex plane. Stable polynomials are used in a variety of mathematical fields, thus finding ways to construct stable polynomials is valuable. An important property of these polynomials is whether they have boundary zeros, which are points in the complex plane where the polynomial equals zero and both variables have an absolute value of 1. Overall, it is challenging to find stable polynomials …

Utilizing Markov Chains To Estimate Allele Progression Through Generations, Ronit Gandhi

Honors Theses

All populations display patterns in allele frequencies over time. Some alleles cease to exist, while some grow to become the norm. These frequencies can shift or stay constant based on the conditions the population lives in. If in Hardy-Weinberg equilibrium, the allele frequencies stay constant. Most populations, however, have bias from environmental factors, sexual preferences, other organisms, etc. We propose a stochastic Markov chain model to study allele progression across generations. In such a model, the allele frequencies in the next generation depend only on the frequencies in the current one.

We use this model to track a recessive allele …

Long-Range And Chaotic Active Mixing Of Swimming Microbes In A Vortex Chain Flow, Nghia Le

Honors Theses

We present experiments studying the motion and active mixing of swimming mi- crobes in laminar, vortex-dominated fluid flows. We are testing a theory that predicts the existence of swimming invariant manifolds (SwIMs) - invisible, one-way barriers blocking the paths of self-propelled tracers in the flow in one direction. We also pro- pose that the SwIMs together can form chute structures in three-dimensional phase space that facilitate cross-vortex transport of the microbes. We also observe evidence of how these structures promote long-range transport at different non-dimensional velocities (microbe’s velocity relative to flow velocity). Long-range transport is quan- tified by measuring the …

Complexities Of Community Consultation In Chile's Lithium Industry, Isabella R. Whelan

Honors Theses

Echoed by November’s COP27 in Egypt, the climate crisis has become an increasingly pressing and global issue, with the need to move away from fossil fuels more urgent than ever. In attempts to decarbonize the global economy, many countries and companies have turned to electrification –particularly within the transportation sector, one of today’s largest contributors of greenhouse gasses. A crucial component of energy storage and batteries is lithium, now considered a “critical mineral.” Demand for lithium has skyrocketed in recent years and is only expected to continue growing. More than fifty percent of the world’s lithium supply is found within …

Analysis Of Laminar Flow Patterns In Milifluidic Devices, Brian Leger

Honors Theses

This research centers around a millifluidic device designed for the analysis of flowing chemical reactions that may happen too quickly to be analyzed by traditional spectroscopic methods. The device works by combining two simple concepts: fluid flows a certain distance over time and chemical reactions progress over time. Combining these allows for the correlation of reaction progress and distance through the device. Since the flow within the device is laminar, there is friction along the walls of the channel that creates a flow profile that elongates over time. The details of the flow were previously unknown but are necessary if …

Active Vs Passive Investing, Garret Buchheit

Honors Theses

With the increased popularity of passive investing, the long-term investment success of active management is being questioned more frequently. For this reason, this research seeks to find whether actively managed funds produce sufficient returns that cover the fees and management costs associated with them. A comparative analysis was made with 5401 actively managed U.S. mutual funds and several common market indices over three, five, and ten-year time spans ranging from 2012 to 2021. Additionally, an analysis was made comparing active and passive management in the recessionary period of 2007 to 2009. Finally, analysis was conducted on annual holdings turnover rates …

Pfas Mass Balance, Donovan Vitale

Honors Theses

First-generation, PFOS-dominant Aqueous Film Forming Foam (AFFF) concentrate of approximately 200 gallons was released to the sewer system from the Kalamazoo/Battle Creek International Airport on March 30, 2021. The AFFF release migrated to the Kalamazoo Water Reclamation Plant (KWRP), raising plant effluent above the Department of Environment, Great Lakes, and Energy (EGLE) PFOS water quality standard for a total of 46 days post-spill, although the influent concentrations exhibited sharp declines after only 7 days. By sampling influent, effluent, and biosolids daily, the only known long duration, high-frequency PFAS data set of an accidental AFFF release was generated. This study has …

Industry 4.0, Zachary Zeitler

Honors Theses

The ultimate goal of this project is to automate quality control processes on various machines which include 3D printers, welders, routers, CNCs, and more. Using the “Digital Twin” approach, we want to automate monitoring, data collection, data analysis, and corrective action. Our involvement begins with building a new piece of software that can perform two specific functions and collect data from cameras. We are not attempting to analyze the data, make corrective action, or design a final version of the physical attributes. Our software provides the user with the ability to capture an image set or a 3D scan and …

A View Into Secondary Education Mathematics, Thomas Krieger Jr.

Honors Theses

Teaching methods, and the effects they can have on students, are important to consider for a classroom because when teaching you should allow for every student to have an opportunity. Every student should feel encouraged in the classroom, however not every method may allow for that. An important task for a teacher is to find out how to reach their students in their classroom; be it adapting methods or choosing when to implement one item over another. This task differs with every student that enters the classroom as no student is the same. Every students’ differences stem from their academic …

Critically Observing The Challenges And Changes: An Analysis On Covid-19’S Impact With An Emphasis On Students In Higher Education, Landon Perkins

Honors Theses

This project involves comparing different visualizations related to COVID-19 and higher education in order to determine key impacts of the COVID-19 pandemic on students in higher education, as well as higher education as a whole. The main metrics used to determine the impact were mental health indicators for anxiety or depressive disorders, enrollment numbers by control type (public, private non-profit, or private for-profit) and state for 2020 and 2021, and state mandate lift dates for a variety of mandates implemented across the United States. These metrics were analyzed both individually and against each other to determine if they had any …

Improving Adjacency List Storage Methods For Polypeptide Similarity Analysis, Arianna Swensen

Honors Theses

Protein design is a complex biomolecular and computational problem. Working on increasingly large protein folding problems requires an improvement in current analysis methods available. This work first discusses various methods of protein design, including de novo protein design, which is the primary focus of this thesis. Then, a new approach utilizing a B+ tree to effectively store and query a graph of keys and vertices is proposed in order to store the number of times two polypeptides are considered to be similar. This approach is found to have a reduction in time complexity from current mapping methods and thus provides …

Growth And Mortality Of American Oysters (Crassostrea Virginica) For Several Years In The Mississippi Sound – Effects Of Freshwater Influence, Taylor Slade

Honors Theses

The American oyster, Crassostrea virginica, is a filter feeding bivalve native to the Gulf of Mexico, and an essential part of the Mississippi Sound estuarine ecosystem. In recent years, influx of freshwater into the Mississippi Sound as a result of frequent rainfall events has altered the water chemistry in several ways that are detrimental to the oyster populations. In this thesis, I examine the growth rate of C. virginica over the last five years in association with salinity fluctuations in the Mississippi Sound. Given diminishing populations and limited recruitment, researchers have facilitated citizen-scientist managed oyster gardens along the coast …

Impact Of The Choice Of Acidic Buffers On The Electrochemical Reduction Of Hexavalent Chromium In Water, Devin D. Meche

Honors Theses

No abstract provided.

Microplastic Fiber Abundance For South Carolina White Shrimp, Litopenaeus Setiferus, Across Two Habitats, Adriene Funck

Honors Theses

Coastal South Carolina is a prime destination for shrimping. The commercial White Shrimp, Litopenaeus setiferus, is one of the main species found in South Carolina estuaries and coastline. There are commercial and recreation fishing practices in South Carolina for L. setiferus, making it a species of interest for the public. Microplastics are additionally a large interest in the public and scientific community for research and solutions. The threats of plastic pollution are not fully understood in the marine environment, but there has been a boom of research discussing various effects and distributions of microplastics in the ocean recently. Shrimp species …

A Faunal Composition Of The Late Cretaceous Blue Springs Site In Northeastern Mississippi And Evidence For Potential Paleoenvironmental Differences Between Beds, Ginger Trochesset

Honors Theses

The Maastrichtian-age Blue Springs locality of the Coon Creek Member of the Ripley Formation is known for abundant, well-preserved marine fossils, including many genera of microfossils, bivalves, gastropods, decapods, cephalopods, actinopterygians, and other vertebrate organisms. This research contributes to the understanding of the paleontology of the site, as well as the changing paleoenvironmental conditions of the beds throughout deposition.

This project analyzed bulk material collected in 2021 from three fossiliferous beds at Blue Springs: the Lower Corbula Bed (Bed C), the Pebble Bed (Bed G), and the Exogyra-Pycnodonte Bed (Bed J). Unconsolidated material from Beds C and J was processed …

Faunal Comparison And Analysis Of The Blufftown Formation-Cusseta Sand Contact At Hannahatchee Creek, Georgia, Seth Fradella

Honors Theses

The origin of fossil material in the highly fossiliferous bed above the Upper Cretaceous (Campanian) Blufftown Formation-Cusseta Sand contact at Hannahatchee Creek, Georgia, has long been a subject of scientific curiosity; however, no research has yet been conducted to specifically investigate discrepancies between the fossil assemblages of the upper Blufftown Formation and the basal Cusseta Sand, which overlies it unconformably. In the most recent published hypothesis, Case and Schwimmer (1988) propose that the basal Cusseta Sand contains a mixture of original fauna as well as material reworked and redeposited from the underlying Blufftown Formation, resulting in a lag deposit above …

Characterization Of Mumian And Host Rock In Al-Amerat Cave, Oman., Sara Alqamshouai

Honors Theses

Mumian is a sticky black-brown material found in the Mumian cave in Wadi Al Mayh, Al Amerat, Oman. Mumian has been used for centuries as traditional medicine by the local Omani people. Though commonly ingested orally to resolve a variety of common ailments, very little is known about the Mumian material in terms of its chemical composition. The principle aim of this study is to characterize the Mumian and the host rock in terms of the mineralogy and chemical characteristics using a variety of analytic instruments, including XRD, NMR, FT-IR, XRF, and UV- VIS. A secondary goal of this study …

Development Of Quantitative Methods To Study Pfas Using Proton Induced Gamma-Ray Emission, Colin Langton

Honors Theses

Per- and polyfluoroalkyl substances (PFAS) are man-made chemicals that have become a major environmental concern. They can be found in a broad range of everyday products and pose a significant risk to the public due to their adverse health effects. They are persistent, bioaccumulate and do not break down in the environment. This project specifically aims to determine the concentration of Fluorine, a key identifier of PFAS, in environmental samples. To do this, we employ proton induced gamma-ray emission (PIGE) to screen for Fluorine within our samples. PIGE is performed at the Union College Ion Beam Analysis Laboratory using a …

Investigating The Thermodynamics And Seismic Profile Of The Europan Hydrosphere Through Pure-Water Modeling And Saltwater Experiments, Samantha Rosenfeld

Honors Theses

We explore the properties of the hydrosphere on Europa involving both a modeling technique and experimental methods. We perform a computational analysis of the thermodynamic properties for an ideal, pure-water Europan ice shell using a Python programming framework called SeaFreeze. We create four models assuming surface temperatures of either 50 K or 140 K and ice shell thicknesses of either 3 km or 30 km. We observe mostly linear trends for the density and seismic wave velocities with respect to depth and find that surface temperature has the greatest effect on the models. Simultaneously, we experimentally investigate the phase diagram …

Sewage And Pathogen Contamination In Urban Streams In Schenectady In The Lower Mohawk Watershed, Joanna Wright

Honors Theses

Urban streams are becoming increasingly polluted by anthropogenic activity, and in Schenectady (NY) two primary stressors include poor wastewater infrastructure and road salt use. Urban streams in Schenectady include Mill Creek and Cowhorn Creek that empty into the Binnekill (feeder to the Mohawk), and the Hans Groot Kill that empty directly into the Mohawk River. These streams were sampled to evaluate water quality and analyzed for pathogens. This study is primarily focused on fecal indicator bacteria (FIB) Enterococcus, which is an EPA-approved method of determining surface water quality and it is an established indicator of sewage in waterways. The average …

Impact Of Movements On Facial Expression Recognition, Zhebin Yin

Honors Theses

The ability to recognize human emotions can be a useful skill for robots. Emotion recognition can help robots understand our responses to robot movements and actions. Human emotions can be recognized through facial expressions. Facial Expression Recognition (FER) is a well-established research area, how- ever, the majority of prior research is based on static datasets of images. With robots often the subject is moving, the robot is moving, or both. The purpose of this research is to determine the impact of movement on facial expression recognition. We apply a pre-existing model for FER, which performs around 70.86% on a given …

Tracking Xenophobic Terminology On Twitter Using Nlp, Harper Lyon

Honors Theses

Social media is a major driver of political thought, with platforms like Facebook, Twitter, and TikTok having a massive impact on how people think and vote. For this reason we should take seriously any large shifts in the language used to describe issues or groups on social media, as these are likely to either denote a change in political thought or even forecast the same. Of particular interest, given the international reach of social media, is the way that discussions around foreign relations and immigration play out. In the United States of America online spaces have become the default space …