## Graduate Workshop #6

We discussed shear coordinates for punctured surfaces.

## Graduate Workshop #5

Michael gave a presentation of Wolpert’s result on the length of closed geodesics under quasiconformal maps.

## Graduate Workshop #4

We discussed types of isometries of the hyperbolic plane.

## Graduate Workshop #3

We finished the proof of the Collar Theorem.

## Xinlong Dong’s thesis defense

Xinlong successfully defended his PhD thesis titled “Differentiability of the Liouville Map via Geodesic Currents”. Congratulations Xinlong!!

## Graduate Workshop #2

Today we discussed the statement and corollaries of the Collar Lemma. Then we started to build the necessary tools for the proof. Next time we will finish the proof.

## Graduate Workshop #1

We held the first Graduate Workshop meeting today. We had an overview of Teichmuller spaces and discussed the direction of of the workshop.