The Central Oregon High Cascade Range is an anomalously mafic segment of the
Cascade Arc due to ongoing intra-arc extension, which allows most magmas to traverse
the crust without stalling and evolving to more evolved compositions. North Sister, a
composite volcano in this arc segment, has produced a seemingly monotonous...
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AN ABSTRACT OF THE DISSERTATION OF
MariekE. Schmidt for
The Central Oregon High Cascade Range is an anomalously mafic segment of the
Cascade Arc due to ongoing intra-arc extension, which allows most magmas to traverse
the crust without stalling and evolving to more evolved compositions. North Sister, a
composite volcano in this arc segment, has produced a seemingly monotonous...
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NS-01-18A
0599375, 4891343
E ridge
intrusion
NS-01-18B
0599375, 4891343
E ridge
palagonitic
The Central Oregon High Cascade Range is an anomalously mafic segment of the
Cascade Arc due to ongoing intra-arc extension, which allows most magmas to traverse
the crust without stalling and evolving to more evolved compositions. North Sister, a
composite volcano in this arc segment, has produced a seemingly monotonous...
The Central Oregon High Cascade Range is an anomalously mafic segment of the
Cascade Arc due to ongoing intra-arc extension, which allows most magmas to traverse
the crust without stalling and evolving to more evolved compositions. North Sister, a
composite volcano in this arc segment, has produced a seemingly monotonous...
The Central Oregon High Cascade Range is an anomalously mafic segment of the
Cascade Arc due to ongoing intra-arc extension, which allows most magmas to traverse
the crust without stalling and evolving to more evolved compositions. North Sister, a
composite volcano in this arc segment, has produced a seemingly monotonous...
The Central Oregon High Cascade Range is an anomalously mafic segment of the Cascade Arc due to ongoing intra-arc extension, which allows most magmas to traverse the crust without stalling and evolving to more evolved compositions. North Sister, a composite volcano in this arc segment, has produced a seemingly monotonous...
The rhenium-osmium isotopic system has the potential to track the maturation of arc crust at lower crustal levels because the ¹⁸⁷Os/¹⁸⁸Os in magmas is sensitive to the age and composition of crust with which they interact. We here present Re and Os isotopic data for a suite of samples from...
Two lots of six White Leghorn male chickens were fed diets containing
7.3% linoleic acid and either .075% ethoxyquin (lot 1) or 32.4
mg/kg of added vitamin E (lot II) for 47 weeks both of which were
designated as positive controls. A third group (lot III) containing 30
males received...
Signal transduction within and between cells is at the core of biological activity in all living systems. Signaling networks are required for regulating biological functions, including growth, development and survival. Deregulation of signaling cascades has been linked to chronic and acute diseases and disorders This thesis focuses on mass spectrometry...
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in two essential micronutrients, vitamins E and C, on the
proteome biology. A label-free proteomics
Vitamin E was first described in 1922 as an unknown factor required for impregnated rats to carry their offspring to term. In fact, when vitamin E was chemically characterized it was given the name "tocopherol" derived from the Greek: tokos = childbirth; phero = to bear; and –ol, indicating an...
Artificial lipid bilayer technologies are effective models for studying cell membrane properties. Droplet bilayers rely on microfluidics and provide advantages over other bilayer methods due to their compatibility with automated development systems that increase yield while minimizing cost. This paper describes the implementation of bilayer technologies using membrane protein channels...
We use the theory of continued fractions over function fields in the setting of hyperelliptic curves of equation y²=f(x), with deg(f)=2g+2. By introducing a new sequence of polynomials defined in terms of the partial quotients of the continued fraction expansion of y, we are able to bound the sum of...
Translation surfaces can be viewed as polygons with parallel and equal sides identified. An affine homeomorphism φ from a translation surface to itself is called pseudo-Anosov when its derivative is a constant matrix in SL₂(R) whose trace is larger than 2 in absolute value. In this setting, the eigendirections of...
We show that Pappus Curves, introduced by R. Schwartz to study his dynamical system in the real projective plane generated by iterated applications of the classical Pappus Theorem, are algebraic exactly in the linear case. Our approach is to use properties of projective curves such as singular points, genus, number...
The primary goal of my studies was to elucidate the mechanisms for the well-recognized interaction between two nutrients, vitamins E and K. The outcomes from my studies assess mechanisms for adverse effects of vitamin E and provide novel information on mechanisms for vitamin K homeostasis. These findings will provide information...
To determine whether extreme endurance exercise induces lipid peroxidation, we studied 14 athletes (5 females: 9 males) during a 50 km ultramarathon (trial 1) and during a sedentary protocol (trial 2) one month later. At dinner the evening before the race (or sedentary trial), subjects consumed vitamin E labeled with...
We identify all translation covers among triangular billiards surfaces. Our main tools are the J-invariant of Kenyon and Smillie and a property of triangular billiards surfaces, which we call fingerprint type, that is invariant under balanced translation covers.
We give a new characterization of elements in the Veech group of a translation surface. This provides a computational test for Veech group membership. We use this computational test in an algorithm that detects when the Veech group is a lattice (has co-finite area), and in this case computes a...
In 1979, for each signature for Fuchsian groups of the first kind, Bowen and Series constructed an explicit fundamental domain for one group of the signature, and from this a function on the unit circle tightly associated with this group. In general, their fundamental domain enjoys what has since been...
Managers of U. S. Fish and Wildlife Service’s Bald Knob National Wildlife Refuge (Refuge) in central Arkansas want to provide sufficient habitat resources to meet its population objectives for wintering waterfowl. Nutrient reserves acquired during the wintering period appear to support spring migration and subsequent reproductive success for some species,...
When Biosand filters cannot be constructed with crushed quarry rock due to resource limitations, a suitable alternative filter media is needed. In this research, two crushed quarry rock alternatives were examined. Three bench-scale Biosand filters with crushed rock, beach sand, and heat-treated beach sand media were simultaneously dosed with Willamette...
Achromobacter A43 produced a compound inhibitory to the outgrowth
of Clostridium botulinum type E spores. The inhibitor could
be produced in various laboratory media and the outgrowth of germinated
spores was completely inhibited by 1/10th dilution of the A43
spent medium. Germination was not affected. The spores lost
refractility in...
The primary purpose of this investigation was to characterize
the lipids of the spores and vegetative cells of Cl. botulinum. A
second purpose was to explore the possibility that lipids might serve
as a means of differentiating the chiefly proteolytic Cl. botulinum
type B from the nonproteolytic Cl. botulinum types...
We have previously shown that diets enriched with (n-3) fatty acids reduced the delayed-type hypersensitivity (DTH) skin reaction to keyhole limpet haemocyanin (KLH) in geriatric-Beagles. Although the amount of α-tocopheryl acetate in diets of the previous study exceeded requirements, plasma α-tocopherol concentration was significantly lower in dogs fed the high...
Milk fever (MF), retained placenta (RP), and left displaced abomasum (LDA) are three common and costly metabolic diseases in cows during the first days of lactation. Some studies suggest that circulating concentrations of α-tocopherol (ATOC) are decreased by these three diseases. It is, however, unknown if and how long lower...
Cystic ovarian disease (COD) is an anovulatory condition in cattle
that afflicts between 6-18% of all dairy cows in the US. Ovulation is
dependent on the plasminogen activator (PA) family of proteases
and protease inhibitor for proteolysis, culminating in follicular rupture.
Failure of the follicle to ovulate suggests an aberration...
It is necessary to encode data when transmitting over a noisy channel in order for
errors to be detected and corrected. List decoding algorithms provide all code words
within a specified distance of a received word in order to be sufficiently robust for
cases when two or more code words...
In many areas of engineering and applied mathematics, spectral methods provide very powerful tools for solving and analyzing problems. For instance, large to extremely large sizes of numbers can efficiently be multiplied by using discrete Fourier transform and convolution property. Such computations are needed when computing π to millions of...
Self-interactions (effects of reinoculation with the same nematode)
in Meloidogyne hapla and Heterodera schachtii on Beta vulpris at
different levels of inocula with various population combinations were
studied. In M. hapla, the only significant increase of galls was
noted in treatments when 250+250 larvae were inoculated at 10-day
intervals. Longevity...
In recent years, many studies have focused on the molecular and biochemical mechanisms regulating the development of wine grapes. The course of grape berry development is directed by genetic design and is mediated by phytohormones, which regulate grape berry growth and development by orchestrating a complex network of interacting genes,...
The project herein described, presents the results of an investigation
in the relatively new and expanding field of computer stimulated
learning machines for use in pattern recognition.
A learning machine, one that benefits from its past experience
was devised in computer program form. It may be described as a
Piecewise-Linear,...
Biliary excretion has been of considerable interest in mammals
but has not been extensively studied in fish. To understand the
significance of biliary excretion in rainbow trout (Salmo gairdneri),
two studies were conducted.
The objective of the initial study was to evaluate the ability of
rainbow trout to excrete a...
Oil is notorious for its volatility. Often as an indicator for economic wellbeing, the commodity employs millions across the country. Entire communities in the western United States are centered around oil extraction, with employment, livelihoods, and revenues dependent on oil’s success. This combination of factors begs the question, how do...
Several experiments were undertaken to investigate the mechanism of
photodechlorination of pentachlorobenzene. The thermal methoxydechlorination
reaction of pentachlorobenzene was studied. In DMSO at 50 °C sodium
methoxide reacts smoothly with pentachlorobenzene to give three
tetrachloroanisole isomers. A second-order kinetic plot for this reaction is linear to
high precision, indicating that...
This study examines the impact of the recently constructed
limited- access highway, Interstate 5, on agricultural land in Linn
County, Oregon. More specifically it scrutinizes the quality and
quantity of the land relinquished to the highway right -of -way; the
effects on field boundaries, connectivity, mobility, drainage, land
use, miscellaneous...
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Howard Schmidt, Jr. for the M.S. in Natural Resources
(Name) (Degree) (Major)
Date thesis is presented
University supervisors are critical to improvement in K-12 teaching and learning due to their roles in designing field experiences, managing relationships, mentoring, and supervising teacher candidates. The encouragement, support, and feedback shared by university supervisors in respect to the teaching performance of teacher candidates is especially powerful, and is a...
Small, private forestland owners own about 12% of Oregon’s forestland and have the unique ability to implement innovative forest management activities. In southwest Oregon, extreme ecological variability occurs over small spatial scales and requires fine-scale silvicultural treatments that match the precise ecological setting and management objectives of the forests in...
The short-term duration of most ecological studies can make it difficult to capture the long-term dynamics of ecosystems and populations. Infrequent or high-impact events can be missed, or erroneously documented as baselines. Long-term ecological research enables a deeper understanding of complex processes, provides a foundation for future insights, and can...
Cross laminated timber (CLT) is a relatively new engineered wood product that has elevated the prospects of utilizing wood as the primary structural material for mid and high rise buildings. The hygrothermal performance of CLT, however, is still not well understood at the material, assembly and building scales. A major...
Aquaculture is a continuously growing industry, but rising problems are disease and antibiotic resistance. A common disease-causing pathogen in oyster aquaculture is Vibrio coralliilyticus (Vcor). Vcor infection of oyster larvae causes near 100% mortality within 48 hours, which is devastating to oyster hatcheries. One potential method of controlling Vcor outbreaks...
Understanding mathematics and teaching mathematics involve
numerous factors, one of which may be an individual's spatial ability.
This paper examines research conducted on the relationship between
spatial abilities and mathematics, gender differences in the area of
spatial ability, the types of experiences that may affect one's spatial
ability, and issues...
Synthesis and discovery lies at the core of every field in chemistry. The investigation of the structure-property relationships in compounds known or new is the fundamental purpose of solid state chemistry. Mixing related solid state compounds to form solid solutions can lead to exciting new and/or unexpected properties. Layered compounds...
There is a widespread problem with looting and vandalism of cultural resources in the Pacific Northwest. To combat this problem law enforcement must have the assistance of the archaeological community. To be able to assist law enforcement, archaeologists and cultural resource specialists must have the proper training in cultural resource...
The purpose of this research is to describe the secondary traumatic stress (STS) levels of early career school based agriculture (SBAE) teachers. Using the professional quality of life (ProQOL) scale (Stamm, 2010) as a theoretical framework, secondary traumatic stress, burnout (BO) and compassion satisfaction (CS) levels were measured among (n...
Purpose
The purpose of this study was to make a comparative analysis of
student attitudes and learning in relation to the selected academic
subject of English when it is applied to certain Oregon occupational
clusters. The occupational clusters selected were agriculture,
electricity-electronics, industrial mechanics, and stenographersecretarial
occupations.
Method
The comparisons...
We report zero kinetic energy (ZEKE) photoelectron spectroscopy via resonantly enhanced multiphoton ionization (REMPI) for benzo[e]pyrene. Extensive vibronic coupling between the first electronically excited state and a nearby state allows b₂ symmetric modes to be observed which would normally be Franck-Condon (FC) disallowed. These vibronic modes are comparable in intensity...
Vitamin E (VitE) is necessary for vertebrate embryonic development. VitE prevents lipid peroxidation (LPO), which requires detoxification by cellular antioxidant systems subsequently involving reducing power derived from energy metabolism. Thus, VitE protects metabolic networks in the developing embryo and the integrated gene expression networks compensating for and impaired by LPO-induced...
This thesis brings together under one cover a survey
of the history of the real number e along with a study
of the present state of its theory and calculation.
Comparatively little work has been done to determine the ecology
of Clostridium botulinum type E since its initial isolation in the
nineteen-thirties. This spore forming, anaerobic microorganism is
relatively heat labile and has been missed in ecological surveys in
which heat was used to selectively screen for spore formers. Use...
The Multi-Agency Radiation Survey and Site Investigation Manual (MARSSIM) requires that Final Status Surveys be performed on materials and surfaces that vary in surface smoothness and/or uniformity. To obtain accurate survey data, it may be necessary to adjust detector response for these surface variations. NUREG-1507 refers to such surface efficiency...
Wastewater treatment plants are considered one of the main sources and reservoirs of antimicrobial resistance (AMR). This study investigated the prevalence of 8 different phenotypes of AMR, multi-drug resistant (MDR), and extended-spectrum beta-lactamases (ESBL) producing E. coli in 17 wastewater treatment plants across Oregon in winter and summer of 2019...
Quinone outside Inhibitor (QOI) fungicides are one of the most widely used fungicide classes (FRAC 11) in the world. This popularity is the result of their ability to effectively manage a wide array of economically important pathogen species on a broad range of crops. While having mostly preventative activity, some...
We describe novel methods for obtaining fast software implementations of the arithmetic operations in the finite field GF(p) and GF(p[superscript k]). In GF(p) we realize an extensive speedup in modular addition and subtraction routines and some small speedup in the modular multiplication routine with an arbitrary prime modulus p which...
This research explores the viability and effectiveness of using an inertial navigation system (INS) to control a beamforming array of microstrip patch antennas with the aim of reducing users' exposure to electromagnetic radiation. The system reduces radiated power directed toward a cellular phone user to below 10% of the total...
Multiple-input multiple-output wireless systems promise significant capacity gain
and/or diversity gain over single antenna systems. If channel state information (CSI)
is available at both the transmitter and the receiver, the performance can be further
improved. In this thesis, first, we study binary index feedback problem in beamforming
systems when the...
The purpose of the present study was to investigate the effect that Pell Grants have on Stafford Loan debt accumulation and to identify other factors that affect Stafford Loan debt accumulation.
The sample consisted of 32,525 dependent undergraduate students from more than 100 different four-year public institutions. All the students...
In order to decide whether or not to develop biomass energy facilities and where to best locate them, developers and investors need accurate assessments of fuel supply. This includes information about the distribution and concentration of fuel throughout the assessment area, the quality of fuel (form, moisture content, contaminant content,...
A new photosystem-II mutant of the green alga Scenedesmus
obliquus D₃, strain PS-28, has been shown to lack a-tocopherol
(vitamin E). The photosynthetic activity of dark grown samples of
PS-28 is about 20% of the wild-type control. Culturing the mutant
at low light intentisites (10⁴ ergs/sec-cm ²) stimulates photosynthetic
activity...
Eastern Filbert Blight, caused by Anisogramma anomala (Peck) E. Miller, was first discovered in the Pacific Northwest in 1974. Orchard experiments suggest that the fungus completes its life cycle in two years. Infection takes place from mid-January to May, mainly through mite-galled-buds infested with an Eriophyid mite, Phytocoptella avellanae Nal....
Metropolitan solid wastes and sewage sludges present a serious
disposal problem for many communities. To assess the feasibility of
disposal or utilization of these waste products on soils, a study was
initiated to evaluate plant growth and soil elemental interactions on a
loamy fine sand treated with metropolitan waste. Shredded...
Restoration ecology seeks to incorporate entire ecosystem functioning; primarily attempting to repair what has been degraded or altered. In order to reinstate ecological processes, biotic and abiotic components must be included, such as flora, fauna, hydrology, and of course, soil. Soil provides many functions in which all aspects of life...
We give explicit pseudo-Anosov homeomorphisms with vanishing
Sah–Arnoux–Fathi invariant. Any translation surface whose Veech group
is commensurable to any of a large class of triangle groups is shown to have
an affine pseudo-Anosov homeomorphism of this type. We also apply a reduction
to finite triangle groups and thereby show the...
We compare two families of continued fractions algorithms, the symmetrized Rosen algorithm and the Veech algorithm. Each of these algorithms expands real numbers in terms of certain algebraic integers. We give explicit models of the natural extension of the maps associated with these algorithms; prove that these natural extensions are...
We give continued fraction algorithms for each conjugacy class of triangle Fuchsian group of signature
(3, n, ∞), with n ≥ 4. In particular, we give an explicit form of the group that is a subgroup of the Hilbert
modular group of its trace field and provide an interval map...
Interest in the distribution of Clostridium botulinum type E
was heightened by the sudden outbreak of human botulism from
smoked whitefish chubs and canned tuna fish in 1963. The question
arose as to how widely the organism is distributed among fish
and shellfish in the Northwest and what potential hazard...
Terrestrial ecosystem-atmosphere exchange of carbon, water vapor, and energy has been measured for over a decade at many sites globally. To minimize measurement and analysis errors, quality assurance data have been collected over short periods along-side tower instruments at AmeriFlux research sites. Theoretical and empirical error and uncertainty values have...
In this note, we generalize recent work of Mizuhara, Sellers, and Swisher that gives a method for establishing restricted plane partition congruences based on a bounded number of calculations. Using periodicity for partition functions, our extended technique could be a useful tool to prove congruences for certain types of combinatorial...
We introduce a numerical criterion which allows us to bound the degree of any algebraic integer having all of Galois conjugates in an interval of length less than 4. Using this criterion, we study two arithmetic dynamical questions with local rationality conditions. First, we classify all unicritical polynomials defined over...
Accurate positioning has become an active research area in recent years. It has a wide range of applications in many fields such as navigation, asset tracking, health care, proximity marketing/location-based advertising, and sport analytics. Transmitter positioning via radio frequency (RF) signals is the most widely encountered scenario, and it uses...
As Moore’s Law continues to give rise to ever shrinking channel lengths, circuits are becoming more digital and ever increasingly faster. Generating high frequency clocks in such scaled processes is becoming a tough challenge. Digital phase locked loops (DPLLs) are being explored as an alternative to conventional analog PLLs but...
Complex digital circuits such as microprocessors typically require support circuitry that has traditionally been realized using analog or mixed-signal macros. PLL circuits are used in many integrated applications such as frequency synthesizers and inter-chip communication interfaces. As process technologies advance and grow in complexity, the challenge of maintaining required analog...
Sisson's formally exact series solution for momentum, heat and
mass transfer in steady two-dimensional or axi-symmetrical constant-property,
laminar boundary layer flow was examined. A new series
was proposed for the boundary condition accounting for the mass
transfer at the surface of the body on which the boundary layer is
formed....
In recent years, measurements of atmospheric carbon dioxide with high precision and accuracy have become increasingly important for climate change research, in particular to inform terrestrial biosphere models. Anthropogenic carbon dioxide emissions from fossil fuel burning have long been recognized to contribute a significant portion of the carbon dioxide in...
A semi-parametric PAR diffuse radiation model
was developed using commonly measured climatic variables
from 108 site-years of data from 17 AmeriFlux sites. The
model has a logistic form and improves upon previous efforts
using a larger data set and physically viable climate
variables as predictors, including relative humidity, clearness
index,...
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Kathilankal, J. C., O'Halloran, T. L., Schmidt, A., Hanson, C. V., & Law, B. E.
(2014). Development of a semi
We investigated the effect of immunization against gonadotropin releasing hormone (GnRH) using a commercial canine GnRH vaccine on estrus suppression and unwanted estrous behavior in mares. In experiment 1, mares were immunized (n=6) twice with vaccine (5mL) given intramuscularly 4 weeks apart or received a control diluent (n=5). Transrectal ultrasonographic...
A semi-parametric PAR diffuse radiation model
was developed using commonly measured climatic variables
from 108 site-years of data from 17 AmeriFlux sites. The
model has a logistic form and improves upon previous efforts
using a larger data set and physically viable climate
variables as predictors, including relative humidity, clearness
index,...
A semi-parametric PAR diffuse radiation model
was developed using commonly measured climatic variables
from 108 site-years of data from 17 AmeriFlux sites. The
model has a logistic form and improves upon previous efforts
using a larger data set and physically viable climate
variables as predictors, including relative humidity, clearness
index,...
The surface renewal rate from Danckwerts' theory and
the effective interfacial area between gas and liquid per
unit packing volume in a packed absorption tower were
evaluated for the absorption of carbon dioxide into
carbonate/bicarbonate buffer solution accompanied by a
pseudo-first order chemical reaction. The rate of chemical
reaction in...
Following the work of Asai, Kaneko, and Ninomiya for Faber polynomials associated to the modular group, and Bannai, Kojima, and Miezaki's partial proof for the case of the Fricke group of level 2, we show that the zeros of certain modular functions for some low-level genus zero groups associated to...
In 2013, Lemke Oliver created a list of all eta-quotients which are theta functions. Then in 2016, Folsom, Garthwaite, Kang, Swisher, and Treneer utilized this list of ``eta-theta'' functions along with Zwegers's construction of mock theta functions to create a set of mock modular forms which are also quantum modular...
Authentication protocols play important roles in network security. A variety of authentication protocols ranging from complex public-key cryptosystems to simple password-based authentication schemes have been proposed. However, currently there is no fully secure authentication scheme that can resist all known attacks. When a user authentication is performed over an insecure...
There has been a lot of work done in recent decades in the field of symbolic dynamics.
Much attention has been paid to the so-called "complexity" function, which gives a sense
of the rate at which the number of words in the system grow. In this paper, we explore this...
A prototype real-time process monitoring emergency
classification expert system, RT/EM-CLASS, has been developed
for use at the Trojan Nuclear Power Plant. This knowledge-based
system features the integration of electronically sensed plant
data with the menu selection data representation of its
predecessor, EM-CLASS. This prototype demonstrates the
techniques required to acquire...
In this dissertation, we use Fourier-analytic methods to study questions of equidistribution on the compact abelian group Zp of p-adic integers. In particu- lar, we prove a LeVeque-type Fourier analytic upper bound on the discrepancy of sequences. We establish p-adic analogues of the classical Dirichlet and Fejér kernels on R/Z,...
For a certain class of Z²-actions, we provide a proof of a conjecture that the ratio of the Perron eigenvalues of the transfer matrices of the free boundary restrictions converge to the entropy of that action. Also, a novel method for computing the entropy of Z²-actions is conjectured.
We define an inner product on a vector space of adelic measures over a number field $K$. We find that the norm induced by this inner product governs weak convergence at each place of $K$. The canonical adelic measure associated to a rational map is in this vector space, and...
Fabrication techniques and process integration considerations for amorphous oxide semiconductor (AOS) thin-film transistors (TFTs) constitute the central theme of this dissertation. Within this theme three primary areas of focus are pursued.
The first focus involves formulating a general framework for assessing passivation. Avoiding formation of an undesirable backside accumulation layer...
In 1941, J.H.C. Whitehead posed the question of whether asphericity is a hereditary property for 2-dimensional CW complexes. This question remains unanswered, but has led to the development of several algebraic and topological properties that are sufficient (but not necessary) for the asphericity of presentation 2-complexes. While many of the...
This dissertation arose out of an awareness of difficulties undergraduate linear algebra students encounter when solving linear algebra problems from novel, non-isomorphic settings, even when the problems could be solved with matrix representations and similar procedures as problems from a more familiar setting. This mixed-methods study utilized both traditional and...
In this dissertation, we consider two problems in number theory, both relating to modular forms. First we consider when a given modular form can be expressed as a quotient in Dedekind's $\eta$ function. Rouse and Webb \cite{RW} have determined the integers $N \leq 500$ such that the graded ring of...
This thesis is devoted to determining structure results on a group relative to a subgroup, using information about the kernel of the boundary map of associated free resolutions. If Y is a CW-complex with homotopy type K(G,1) then for n ≥ 2 the nth skeletal homotopy module, hn(Y ) =...
We generalize overpartition rank and crank generating functions to obtain k-fold variants, and give a combinatorial interpretation for each. The k-fold crank generating function is interpreted by extending the first and second residual cranks to a natural infinite family. The k-fold rank generating functions generate two families of buffered Frobenius...