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Maximal Abelian Subgroups of the Finite Symmetric Group
No full textLet G be a group. For an element a ∈ G, denote by C 2 (a) the second centralizer of a in G, which is the set of all elements b ∈ G such that bx = xb for every x ∈ G that commutes with a. Let M be any maximal abelian subgroup of G. Then C 2 (a) ⊆ M for every a ∈ M. The abelian rank (a-rank) of M is the minimum cardinality of a set A ⊆ M such that ∪ a∈A C 2 (a) generates M. Denote by Sn the symmetric group of permutations on the set X = {1, . . . , n}. The aim of this paper is to determine the maximal abelian subgroups of Sn of a-rank 1 and describe a class of maximal abelian subgroups of Sn of a-rank at most 2
Lessons from the Pivot: Higher Education\u27s Response to the Pandemic
Get PDFThe intensity of major events often leads us to remember minute details of where we were and what we were doing when they occurred: what we wore as we watched the towers fall on September 11, 2001; the faces of our classmates when the space shuttle Challenger exploded on January 28, 1986; the smell in the air when we lived through a major earthquake, fire, or other personal tragedy. Similarly, faculty, staff, and students will remember the series of moments that led to the closure of their schools and universities as the 2020 COVID-19 pandemic spread throughout the world--the timeline varies, but on the East Coast of America, this occurred in early March. Unprecedented became the word of the year in our emails and texts and Zoom calls. We adjusted our expectations; we pivoted our planning, instruction, and interactions; and we continue to do so
Angular Momentum Coherences in Molecular Dynamics
Get PDFThe recent development of attosecond laser pulses provides a direct path to observing the electronic dynamics of excited molecules. Recently proposed experimental methods re- quire that the measurements be made in the molecular frame, that is, that the molecule is in a fixed orientation. However, quantum mechanics does not allow this. Here we examine instead the full dimensional, laboratory frame, time evolving probability distribution gen- erated by resonant excitation of a molecular sample. Quantum dynamics are driven by both the populations of quantum states and the coherences between them. Since the total angular momentum of an isolated system is conserved, we are able to form a general formalism to examine these aspects by introducing a new operator, the Angular Momentum Coherence Operator (AMCO). We use these to study coherences between excited electronic states as well as photoionization from rotational coherences excited in the ground electronic state.
In order to investigate electronic coherences in the laboratory frame, we identified and cal- culated the off diagonal density matrix elements in the laboratory frame. We find that these matrix elements are composed of the Electronic Angular Distribution Moments (EADMs), which are expectation values of the AMCOs. The EADMs determine the angular distribu- tion of electronic coherences in the laboratory frame. We find that the time dependence of this laboratory frame angular distribution is synchronized with electronic coherences in the molecular frame. Demonstrative calculations were carried out for the molecule 4-amino- 4’-nitrostilbene resonantly excited by an attosecond pulse.
Additionally, rotational coherences in the electronic ground state are also characterized by the AMCOs. We used rotational coherences to develop a mathematical protocol for re- constructing molecular frame photoelectron distributions (MFPADs) from laboratory frame measurements for polyatomic molecules. MFPADs give the probability of removing (ion- izing) an electron at a specific angle with respect to the molecular axis and have been shown to be effective probes of molecular electronic dynamics. We numerically demonstrated this MFPAD reconstruction method for the molecules N2 and C2H4. The new technique is expected to be generally applicable for a range of MF reconstruction problems involving photoionization of polyatomic molecules.
Thus, the AMCOs provide a generalized framework to analyze angular momentum co- herences in molecular dynamics
The ‘She-cession’: A look at Women’s Labor during the Covid-19 Pandemic
Get PDFThe pandemic in 2019-2021, induced by the spread of Covid-19 influenced global economic downturns and had significant effects on the United States labor force. The recession and pandemic disproportionately affected women’s labor causing higher unemployment and lower labor force participation for women relative to men in the U.S. throughout 2020. These effects were influenced by occupational choices, income decisions, parental status and social norms. This paper will show that women’s tendency to work in service-related occupations prompted massive losses in employment when social distancing recommendation and mandates were enforced by state and local governments. Furthermore, social distancing caused the closure of public schools and other child-care services which is correlated with high unemployment for women and compelled women to leave the labor force to care for their children. Women frequently took on the role as primary caregiver during the pandemic for two main reasons, the first being that women generally earn lower income then men, which disincentivized fathers to leave the labor force for childcare. Additionally, social norms and unequal childcare responsibilities influenced women to take care of their children during the pandemic by leaving the labor force or working and caregiving simultaneously from home. The outcomes of the 2020 recession will likely be the stagnation or lowering of real earnings for women, as a result of human capital deterioration and reluctance to rejoin the labor force
Addressing Digital Technologies Needed for Students in K-12 Schools
Get PDFThis research aimed to learn more about how K-12 schools have addressed the needs of all students in their school districts equally as it relates to access for appropriate technology for distance learning. The intended research was conducted through Qualtrics, an online survey software, which was dispersed through social media sites to reach broad and diverse pool of participants within this study’s target audience, to include parents, teachers, and administrations in a K-12 school system. Participants who clicked on the link to the survey were given an informed consent notice, including an explanation of how distance learning and equitable access to technology is defined for the context of the study, and date when the survey will be closed down. The data from the study was collected and interpreted using Qualtrics data analysis methods, which were compared with prior literature to provide insight on factors that influence equitable access to digital technology
Initial Environmental Knowledge and Pro-environmental Advertisements Effects on Purchasing Behavior of Electric Vehicles
No full textA Research Seminar Project supervised by Dr. Dave Kolar (Spring 2021)
Mindfulness as a Mediator in the Relationship Between Social Media Engagement and Depression
Get PDFA 491/492 Team Project supervised by Dr. Miriam Liss (Spring 2021)
How Adverse Childhood Experiences (ACEs) Affect Participants\u27 Intentions to be a Primary Caregiver and Anticipated Parenting Styles
Get PDFA Research Methods Project supervised by Dr. Laura Wilson (Spring 2021)
When Admiration Turns to Obsession: A Case Study on Taylor Swift Fan Theories
Get PDFThis research uses a qualitative content analysis of Taylor Swift fan theory TikToks to determine the personal benefits of the development of celebrity fan theories. Findings indicate three main themes – a sense of community, a knowledge of secret information, and a perceived closeness to the celebrity – that serve to explain the motivation behind this behavior. In addition, this study identifies a connection between celebrity parasocial relationships and conspiracy theories. The results of this study suggest that further research should examine how celebrity parasocial relationships might lead to the development of a new category of conspiracy theories
The Dumb Waiter
No full textA production of Harold Pinter\u27s 1960 masterpiece The Dumb Waiter, starring Sophomore actors Seth Drenning as Gus and Alexis Lagon as Ben, with senior Harper Cowan as stage manager. Produced in the fall semester of 2021, as the only Studio 115 show performed that semester