Knot theory is a burgeoning branch of mathematics which has numerous applications to modern topological and geometric problems. In this class, I will define a mathematical knot, draw numerous examples of knots, define what makes a knot the "same" as another knot, and introduce some ways of distinguishing knots from others. This is intended to be a rudimentary introduction to an incredibly rich branch of modern mathematics.

In the past couple years, the "flat earth" conspiracy theory has seen a rise in publicity. In a way, this theory is actually true! Locally, the Earth is "the same" as a flat plane. In this class, we will introduce students to concepts of topology, continuity, homeomorphism, and finally define and give numerous examples of manifolds.

Knot theory is a burgeoning branch of mathematics which has numerous applications to modern topological and geometric problems. In this class, I will define a mathematical knot, draw numerous examples of knots, define what makes a knot the "same" as another knot, and introduce some ways of distinguishing knots from others.