Xinlong accepted a post-doctoral appointment at Kansas State University starting January 2022. We wish him best of luck at his new position!
Michael Pandazis gave an introduction to the modulus of a curve family and discussed estimates for the modulus of curve families connecting graphs of two functions in the complex plane.
Michael Pandazis presented Fenchel-Nielsen parametrization of the Teichmuller space of a compact surface.
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.
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.
We discussed shear coordinates for punctured surfaces.
Michael gave a presentation of Wolpert’s result on the length of closed geodesics under quasiconformal maps.
We discussed types of isometries of the hyperbolic plane.
We finished the proof of the Collar Theorem.
Xinlong successfully defended his PhD thesis titled “Differentiability of the Liouville Map via Geodesic Currents”. Congratulations Xinlong!!