Summary
The mathematics in this research project centers around questions in geometry and topology, which are broadly concerned with understanding various notions of shape. This project focuses on 2-dimensional spaces called surfaces, which are fundamental in many areas of mathematics. Surfaces can be flat, like a piece of paper, or curved, like the outside of a ball, a donut, or a saddle, and the various shapes they take often strongly constrain the shapes of the higher dimensional spaces in which they live. The educational portion of this project involves a variety of activities aimed at recruiting
