Research Experience

In the summer of 2023 I was fortunate enough to be accepted into the Ohio Five Summer Undergraduate Research Experience program at The Ohio State University. While there, I worked with Professor Maria Angelica Cueto, PhD on some of her research involving the Tropical Semiring.

The tropical semiring is a mathematical space where the operations of addition and multiplication are redefined. Tropical addition is defined as the maximum or minimum over the two elements being summed, while tropical multiplication is simply classical addition. When this begins to be applied to polynomials, specifically lines, conics, and cubics, the result is the tree-looking object projected down in the image above.

During the course of this REU I coded my very first software, a set of three programs for the calculation and display of tropical curves. While the computational technology to calculate them has existed, this was one of the very first GUI's designed to be used without extensive computational expertise. The programs run on SageMath, a mathematical engine for Python.