Class videos.
- Lecture 01: Course Overview, Part I. August 27, 2020 ( )
- Lecture 02: Course Overview, Part II. September 1, 2020 ( )
- Lecture 03: Course Overview, Part III. September 8, 2020 ( )
- Lecture 04: Dirichlet class, Schwarzians and QC maps. September 15, 2020 ( )
- Lecture 05: Conformal welding and Sobolev spaces. September 17, 2020 ( )
- Lecture 06: Mobius energy and the Jones conjecture. September 22, 2020 ( )
- Lecture 07: Multi-resolution families and excess length. September 24, 2020 ( )
- Lecture 08: Beta-numbers and QC involutions in the plane. September 29, 2020 ( )
- Lecture 09: Menger curvature and biLipschitz involutions. October 1, 2020 ( )
- Lecture 10: Good biLipschitz involutions implies beta-number estimate. October 6, 2020 ( )
- Lecture 11: Beta-numbers and epsilon-numbers are equivalent. October 8, 2020 ( )
- Lecture 12: Proof of TST, Part I (splitting convex sets). October 13, 2020 ( )
- Lecture 13: Proof of TST Part II (split sets are well distributed). October 15, 2020 ( )
- Lecture 14: Guest speakers Martin Chuaqui (Schwarzian derivatives) and Yilin Wang (Loewner energy). October 20 , 2020 ( )
- Lecture 15: Proof of TST, Part III (integral geometry). October 22 , 2020 ( )
- Lecture 16: Proof of TST, part IV (the lower bound). October 27, 2020 ( )
- Lecture 17: Proof of TST party V (finish proof). October 29, 2020 ( )
- Lecture 18: Guest speaker Dragomir Saric (universal Teichmuller space and the Farey tesselation). November 3, 2020 ( )
- Lecture 19: Hyperbolic convex hull and delta-numbers. November 5, 2020 ( )
- Lecture 20: Finite total curvature and the Gauss map. November 10, 2020 ( )
- Lecture 21: Seppi's estimate for minimal surfaces. November 12, 2020 ( )
- Lecture 22: Isoperimetric inequalities and renormalized area. November 17, 2020 ( )
- Lecture 23: Dyadic cylinders. November 19, 2020 ( )
- Lecture 24: Guest Speakers David Mumford and Rafe Mazzeo. December 1, 2020 ( )
- Lecture 25: Open questions and future directions. December 3, 2020 ( )