RTG

Following Foundations of Hyperbolic Manifolds by John Ratcliffe. A series of three talks presented together with another member of the UI Topology/Geometry RTG, Nicholas Cecil, over the course of three consecutive weeks.

Following Chapter 8 of A Primer in Mapping Class Groups by Farb and Margalit. Proof of Dehn-Nielsen-Baer Theorem and Milnor-Svarc Lemma and all required definitions therein.

Following Chapter 1 of An Introduction to Homological Algebra by Weibel. Definitions, homotopy of chain complexes, homology.

Computation of some mapping class groups and proof of Alexander’s Method.