Killian Davis
Title
The Monstrous Behavior of Virtual Knots
Abstract
Started in 1999 by Louis Kauffman, virtual knot theory generalizes classical knot theory by imagining the knots as living in thickened surfaces. This small change, however, drastically changes the topology of the theory. In this talk, we will establish the fundamentals of virtual knot theory, how it relates to the Jones Unity conjecture, and, as it is Halloween, how the topology behaves monstrously.