Title:  The Jones Polynomial

Abstract:  Knot Theory is a subject in topology that studies embeddings of $S^1$ in $\mathbb{R}^3$. We call these embeddings 'knots' (hence 'Knot Theory').  In this talk, we will discuss some of the basic ideas in the subject of Knot Theory.  We will then discuss and give a construction for a useful knot invariant called the Jones Polynomial.