My thesis research was analyzing the conductivity problem in the case of thin inhomogeneities. In particular, I was looking at the case of a thin inhomogeneity with an open mid-curve and looked at the singularities that could develop around the endpoints of this curve. It turns out that these play a role in the analysis of the problem, but similar results to the case of a closed mid-curve can still be shown.
For several years, I did research with Prof. Aihua Wood at the Air Force Institute of Technology (AFIT) on through-the-wall imaging and radar analysis for Maxwell’s Equations. This research involved creating a numerical algorithm for the 2-dimensional system and implementing a reconstruction algorithm for this system.
After the transition to online learning due to the COVID-19 pandemic, a lot of STEM classes attempted to move their active learning group work activities into this new environment. Along with many other faculty across a variety of STEM disciplines, I am looking into the many ways in which faculty tried to implement these changes, investigating how they went from both the faculty and student perspective, and determine what lessons there are to be learned that could be utilized in future semesters.