I am very lucky to have had the opportunity to work on multiple research projects as an undergraduate. Highlights include:
- Spending the summer of 2018 at the SMALL REU program hosted by Williams College. I worked in the tropical geometry group under the direction of Ralph Morrison, studying divisors on graphs from a combinatorial perspective. We proved results relating various forms of an invariant of a graph known as its gonality. I also presented (some of) these results at MathFest 2018 where I was recognized with an outstanding student presentation award.
- Working on an independent research project as a high school student under the supervision of Julie Rana. We studied roots of certain polynomials over finite fields and proved results regarding the "linearity" of these roots in special cases. I presented these results at the MAA NCS Meeting in the fall of 2017.