## Graduate Workshop #13

Michael Pandazis presented Fenchel-Nielsen parametrization of the Teichmuller space of a compact surface.

## Graduate workshop #12

Jessica Liu presented the proof that the set of hyperbolic geodesics which self-intersect in at most k points has Hausdorff dimension 1 on a compact hyperbolic surface.

## Graduate Workshops #7-11

I gave a talk on shear coordinates for the Farey tesselation. Casey Whitney talked about flip graphs for infinite surfaces. Ajith Nair talked about Minkowski ?-function.

## 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.