Every summer, many of our students participate in the summer research program. Students work as full participants in the processes of creating a research plan, executing a research project, and preparing results for presentation in a public forum. Learn more about the research done by your fellow mathematics and statistics students. This week, we present a double feature from two of our juniors.
Kyle Kelley spent the summer researching addsub graphs. Addsub configuration graphs depict the relationship between ordered pairs of integers modulo n and a specified "move." We consider the structures of addsub graphs, their symmetries, and their relation to subgroup structures. We also investigate the number of weakly connected components in addsub graphs and their relation to the structure of the integers modulo n. Finally, we discuss possible generalizations of configuration graphs to other groups and to higher dimensions.
Sammy Shrestha worked extensively on research involving virtual reality. Virtual reality (VR), a branch of extended reality (XR), is the computer-generated simulation of a three-dimensional environment, which allows for immersive user interaction. Understanding user interactions and behavior within VR is necessary for creating meaningful and realistic VR experiences. This involves analyzing and interpreting behavioral data collected from VR experiences, which can provide valuable and unique insights for continuous improvement and practical design of immersive virtual environments.
Join us on Monday, Sept. 11, at 3:10 p.m. in Hayes 109 to hear these exciting presentations and perhaps learn how you too can get involved in summer research programs. We hope to see you there!