Examples of Volume-Preserving Great Circle Flows of S3

This summer Herman Gluck and Weiqing Gu proved the last step in a process that took conformal maps between two complex spaces and related them to Volume Preserving Great Circle Fibrations of S3. These fibrations, which are non-intersecting flows, break down under certain conditions. We obtained the fibrations by applying the process to different conformal maps then calculated the angles where they intersect. This paper centers around the developments in the method for converting the conformal maps and finding the critical angles. Finally, the examples are included in their various stages of completeness

Dynamics of Perfectly Wetting Drops under Gravity

We study the dynamics of small droplets of polydimethylsiloxane (PDMS) silicone oil on a vertical, perfectly-wetting, silicon wafer. Interference videomicroscopy allows us to capture the dynamics of these droplets. We use droplets with a volumes typically ranging from 100 to 500 nanolitres (viscosities from 10 to 1000 centistokes) to understand long time derivations from classical solutions. Past researchers used one dimensional theory to understand the typical $t^{1/3}$ scaling for the position of the tip of the droplet in time $t$. We observe this regime in experiment for intermediate times and discover a two-dimensional, similarity solution of the shape of the droplet. However, at long times our droplets start to move more slowly down the plane than the $t^{1/3}$ scaling suggests and we observe deviations in droplet shape from the similarity solution. We match experimental data with simulations to show these deviations are consistent with retarded van der Waals forcing which should become significant at the small heights observed

Higher Education Liaisons for Students Experiencing Homelessness: Role Preparation and Professional Development Needs

Homelessness among college students is an increasing concern on campuses across the U.S. Homelessness during college is associated with food insecurity, mental health concerns, and academic challenges including dropped classes, low GRE, and delayed degree completion. Homeless education liaisons—a role often filled by financial aid officers—are tasked with assisting students experiencing homelessness as the students navigate systems of support for basic needs while pursuing their degrees. Little is known about the perspectives or experiences of these professionals in terms of their role as a liaison. Our aim was to inform efforts to support these professionals by gaining an understanding of the knowledge and experiences of liaisons and their professional development preferences and needs. Based on survey data collected from 49 liaisons in four states, we identified gaps in understanding of college student homelessness, such as underestimates of the rate of student homelessness. We pinpointed areas of potential professional development including methods to identify and reach all students at risk for or experiencing homelessness and approaches for collaboration with community partners. We found that liaisons welcomed professional development and preferred online training and peer support as approaches to gain knowledge and skills to fulfill their critical roles