Hecke operators on Hilbert-Siegel modular forms

We define Hilbert-Siegel modular forms and Hecke "operators" acting on them. As with Hilbert modular forms, these linear transformations are not linear operators until we consider a direct product of spaces of modular forms (with varying groups), modulo natural identifications we can make between certain spaces. With Hilbert-Siegel forms we identify several families of natural identifications between certain spaces of modular forms. We associate the Fourier coefficients of a form in our product space to even integral lattices, independent of a basis and choice of coefficient rings. We then determine the action of the Hecke operators on these Fourier coefficients, paralleling the result of Hafner and Walling for Siegel modular forms (where the number field is the field of rationals)

Senior Recital: Amy Caulk, Trumpet

Kemp Recital Hall November 3, 2018 Saturday Evening 6:00 p.m

Trumpism: How agenda setting in the media drove a movement

This study will look at agenda setting in the media and how it aided in the spread of Trumpism. Broadcasts of the three major cable news networks were looked at. The constructed-week method was used to produce a sample of 36 shows that represent 12 days during the selected time frame. A descriptive qualitative content analysis was then used to examine the coverage relating to the main themes of the Trump campaign: immigration, terrorism, crime, economic insecurity, and populism. A survey was then conducted to show how the themes found affected voter behavior. The study found that the amount of coverage signaled to the public that Trump was the most important candidate, and the theme of establishment versus anti-establishment painted Trump as the anti-establishment candidate who was battling the powers that be within the Republican Party

Determinants of HIV Treatment Disparities in the Latino Population of South Carolina

The Latino population in the United States faces a heightened risk in terms of contracting HIV/AIDS and experiencing negative health outcomes from said infection. HIV/AIDS continues to disproportionately impact ethnic/racial minorities, and the Latino population exemplifies this unfortunate trend, with Latino Americans making up around 18.4% of the national population, but nearly 30% of the HIV/AIDS infections (US Office of Minority Health, 2021). More enduring changes to the current resources available to this population will need to be made in order to address this disparity. Thus, the current study examined social determinants, how they increase risk of infection, and how they contribute to the greater incidence of negative outcomes in the Latino population. These topics will be explored thoroughly throughout this thesis to explain the need for resources tailored to this population. Research was conducted in conjunction with PASOs, an organization focused on improving education, advocacy, and leadership development for Latinos in South Carolina. This research explored on HIV positive Latino community members in South Carolina will be presented and compared with published research to bolster the evidence found in the field. This project also includes the development and distribution of a bilingual map resource that will assist in both navigation of available HIV treatment resources and preparation of patients for their experience in their most accessible HIV treatment center

The Blindfolded Juggler

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The design of a petabyte archive and distribution system for the NASA ECS project

The NASA EOS Data and Information System (EOSDIS) Core System (ECS) will contain one of the largest data management systems ever built - the ECS Science and Data Processing System (SDPS). SDPS is designed to support long term Global Change Research by acquiring, producing, and storing earth science data, and by providing efficient means for accessing and manipulating that data. The first two releases of SDPS, Release A and Release B, will be operational in 1997 and 1998, respectively. Release B will be deployed at eight Distributed Active Archiving Centers (DAAC's). Individual DAAC's will archive different collections of earth science data, and will vary in archive capacity. The storage and management of these data collections is the responsibility of the SDPS Data Server subsystem. It is anticipated that by the year 2001, the Data Server subsystem at the Goddard DAAC must support a near-line data storage capacity of one petabyte. The development of SDPS is a system integration effort in which COTS products will be used in favor of custom components in very possible way. Some software and hardware capabilities required to meet ECS data volume and storage management requirements beyond 1999 are not yet supported by available COTS products. The ECS project will not undertake major custom development efforts to provide these capabilities. Instead, SDPS and its Data Server subsystem are designed to support initial implementations with current products, and provide an evolutionary framework that facilitates the introduction of advanced COTS products as they become available. This paper provides a high-level description of the Data Server subsystem design from a COTS integration standpoint, and discussed some of the major issues driving the design. The paper focuses on features of the design that will make the system scalable and adaptable to changing technologies

Evaluation of Key Geomechanical Aspects of Shallow and Deep Geothermal Energy

Geothermal energy has become a focal point of the renewable energy revolution. Both shallow and deep types of geothermal energy have the potential to offset carbon emissions, reduce energy costs, and stimulate the economy. Before widespread geothermal exploration and exploitation can occur, both shallow and deep technologies require improvement by theoretical and experimental investigations. This thesis investigated one aspect of both shallow and deep geothermal energy technologies. First, a group of shallow geothermal energy piles was modeled numerically. The model was constructed, calibrated, and validated using available data collected from full-scale in-situ experimental energy piles. Following calibration, the model was parameterized to demonstrate the impact of construction specifications on energy pile performance and cross-sectional thermal stress distribution. The model confirmed the role of evenly spaced heat exchangers in optimal pile performance. Second, experimental methods were used to demonstrate the evolution of a fractured granite permeability as a function of mineral dissolution. Steady-state flow-through experiments were performed on artificially fractured granite cores constrained by 5 MPa pore pressure, 30 MPa confining pressure, and a 120°C temperature. Upstream pore pressures, effluent mineral concentrations, and X-Ray tomography confirmed the hypothesis that fracture asperities dissolve during the flow through experiment, resulting in fracture closure

Biomechanics and modeling methods for quantifying mechanically-mediated disease progression in neglected populations

It is well known that biological tissue grows and remodels in response to changes in mechanical loading. Arteries and lymphatic vessels share many similar mechanical loads including luminal pressure, axial force, and fluid shear force on the endothelium. Diseases of vascular systems have previously been associated with deviations from a hypothesized “preferred” homeostatic mechanical environment and maladaptive growth and remodeling. Mechanically-mediated disease development affects many populations, but developing nations face challenges that are unique due to disease burdens that are region-specific. Treatment strategies for HIV have resulted in HIV-positive patients living longer lives, but these patients also suffer from non-AIDS-related comorbidities including vascular remodeling and accelerated progression of cardiovascular disease. Similarly, lymphatic filariasis often leads to lymphedema, a condition characterized by tissue swelling and fibrosis as well as remodeling of the lymphatic vasculature. Disease burden in sub-Saharan Africa is due in large part to pathologies such as these; yet, studies investigating the role of biomechanics in disease development in these populations are limited. Thus, the purpose of this dissertation is to develop novel experimental and theoretical frameworks for the study of mechanically-mediated diseases of the arterial and lymphatic vasculature that are commonly seen in developing nations with the ultimate intention of identifying key parameters that contribute to tissue growth and remodeling leading to disease progression.Ph.D