At UNC Greensboro, I participated in a mathematical biology REU where I studied voluntary vaccination measures for Ebola with two other undergraduates. We found that due to the high cost of contracting the disease, individuals in a rational population were extremely likely to vaccinate; consequently, voluntary vaccination programs could help eradicate the disease. Our work resulted in a peer-reviewed publication in Royal Society Open Science, available here.
In the summer of 2018, I collaboratively studied a dynamical system model representing an ecological experiment conducted at Cedar Creek Ecosystem Reserve. We applied a "flow-kick" framework for studying the resilience of an invasive plant-dominated state to repeated "kicks," meant to represent the haying of native-inhibiting plant litters. We were able to show that such management practices would be effective in restoring original levels of plant diversity.
In 2018, I participated in COMAP's Mathematical Contest in Modeling. Here, two other undergraduates and I developed a discrete-time dynamical system and publicly available UN data to project the number of native speakers of each of the 20 most spoken languages over the following 50 years. Our group received an honorable mention for our report, a preview of which can be seen here.
Miscellaneous Mathematica notebooks and Python and Julia scripts I have written for various coursework is available on my Mathematica and Coursework repositories on my GitHub.
A few random fun projects and experiments I've played around with are available in my Tomfoolery repository on GitHub.