**Special Topics Course:**

**Minimal Surfaces in 3-manifolds**

In this
course, we will go over some important applications of minimal surface theory
in 3-manifold topology. In the first half of the class, we go over the basic
notions in minimal surface theory. Then, we will start with basic results on finding
canonical representatives of embedded surfaces in 3-manifolds. We study
Freedman-Hass-Scott’s result on incompressible surfaces. Then, we see Meeks-Yau’s important solutions to fundamental 3-manifold
problems like Dehn’s Lemma,