Stable polynomials and admissible numerators in product domains

Given a polynomial p with no zeros in the polydisk, or equivalently the poly-upper half-plane, we study the problem of determining the ideal of polynomials q with the property that the rational function q/p is bounded near a boundary zero of p. We give a complete description of this ideal of numerators in the case where the zero set of p is smooth and satisfies a nondegeneracy condition. We also give a description of the ideal in terms of an integral closure when p has an isolated zero on the distinguished boundary. Constructions of multivariate stable polynomials are presented to illustrate sharpness of our results and necessity of our assumptions

Piecing it Together Using Molecular Hosts: From Crystals to Molecular Switches

I will present our work on how we use molecular hosts to grow single crystals of organic compounds, as well as reversibly capture environmental pollutants. I think our approach to design, synthesize and characterize these systems will appeal to a broader audience as it will highlight how a scientific project can be driven with a certain function in mind. My hope is that my talk will demystify chemistry for those who might be unfamiliar with its molecular nature, and help them appreciate its significance and potential in our lives.https://digitalcommons.bucknell.edu/fac_coll/1063/thumbnail.jp

Second Generation Immigrants in Higher Education: Experiences in Selective Liberal Arts Contexts

The purpose of this study is to examine the educational experiences of second-generation students at a selective, predominantly white liberal arts institution, in order to better understand what types of factors and practices contribute to their success, and how successful educational trajectories intersect with racial, ethnic, cultural and gender identities. To explore this, hour-long interviews were conducted, diving deeper into the educational experiences of second generation immigrants, also considering the lives of previous generations such as parents and grandparents. Interviews were transcribed and coded, uncovering patterns and themes that existed across participants’ experiences. Findings revealed that second generation immigrants at Bucknell University find great support in their families, whether that refers to siblings, parents, or grandparents. In addition, faculty and staff play a vital role in the success of students once they arrive at Bucknell. Culture also acts as a protective factor, as these connections to their heritage help them to not only make it to college but thrive once in this setting. While being admitted to college is a major feat, a significant factor relating to this success is the resources available to students prior to their participation in higher education, such as private schooling and advanced placement courses. While the second generation immigrants in this study are largely successful, many desire greater representation and spaces on campus where they feel they belong, as individuals who are often left feeling “in-between.

Тоонто Нютаг Homeland

This digital project explores and examines the declining language and culture of the Buryat people of Siberia, Russia. For hundreds of years, the Buryat people were made up of independent tribes that lived nomadically in the Eastern Steppe. The colonialism of the Russian Empire and establishment of the Soviet Union introduced a century of cultural and linguistic oppression in Buryatia. Utilizing interactive maps, timelines, and galleries, this project aims to answer the following questions: Who are the Buryat people, what has caused their language and culture to decline, and what action is being taken to preserve it

Testing the conceptual boundaries of public service motivation and sense of community responsibility: prosocial actions in community and political engagement

With growing polarization and declining civic participation, what promotes engagement? Research finds both public service motivation (PSM) and sense of community responsibility (SOCR) correspond to prosocial behaviours within and outside the workplace, such as organizational citizenship behaviour and volunteering. Combing research on these other-oriented constructs from public management and community psychology, we examine the relative influence of PSM and SOCR on engagement across a range of activities in the community and the political realm. We find SOCR predicts community engagement, while PSM predicts political engagement. Findings have implications in advancing the application of the concepts and further establishing conceptual boundaries

Investigation of Aluminum Hollow Shapes Subject to Torsion

This research investigates the torsional strength of hollow aluminum shapes, specifically fairly stocky square and circular cross-sections made from 6061-T6 alloy. A total of six cross-sections were tested, with six specimens for each cross-section, resulting in 36 tests. Torque and angular deformation data were recorded for each specimen to determine the torque corresponding to full- yield of the cross-section. Additionally, Strand7 finite element models were created to simulate the experimental results and assess whether the torsional behavior could be accurately replicated through numerical analysis. This allows for future research to be conducted using Strand7 or similar finite element software. The primary objective of this research was to evaluate the accuracy of the current design equations provided in the Aluminum Association’s Specification for Aluminum Structures (SAS), which bases the torsional limit state on first yield criteria. The findings reveal that while the existing design equations for hollow square sections accurately reflect the full-yield strength, the equations for hollow circular sections significantly underestimate their actual capacity, leading to overly conservative designs. As a result, this study proposes revised design equations specifically for hollow circular sections, accounting for full-yield behavior and providing a more accurate representation of their torsional strength. These adjustments offer a more efficient design approach, optimizing material usage without compromising safety