Hometown: Murphy, NC

Year in School: Senior

Major: Mathematics and Computer Science

Project Abstract:

Ramsey theory is a field of mathematics that has been studied for nearly a century. Put simply, Ramsey theory involves taking some structure, and cutting it into pieces. The question is then asked, how big does the original structure need to be such that one of the pieces is forced to have some property of interest. The required size for the original structure is known as the Ramsey number. For this research, we considered the Ramsey number for a variety of hypergraphs and produced several new bounds.

Faculty Mentor: Dr. Mark Budden, Mathematics and Computer Science