This talk will go through an overview of the program, its benefits, and my summer as a whole. I will also be detailing the mathematics I studied. I will discuss homotopy classes of various self-intersecting curves on punctured tori, and distinctness among them. I will draw on methods developed last century by JHC Whitehead using free-group algebra theory. This talk is open to all majors, graduate students, and faculty.
Students give talks on a wide range of topics from applied and pure mathematics.
The purpose of these talks is to expose other graduate students to interesting advanced topics in addition to allowing students to present research that they have done. If you are interested in giving a lecture please contact Seth Sullivant .