Topics
- Generalities on Lie groups and manifolds
- The conformal group; the Poincare model of the hyperbolic plane
- The projective and Lorenz group; other models of the hyp. plane
- constructing hyperbolic surfaces and manifolds
- topology of Teichmuller space; Fenchel-Nielson coordinates.
- proof of Mostow Rigidity for closed hyperbolic 3-manifolds
- sketch of the proof of Cauchy rigidity for convex polyhedra
- Cone surfaces and translation surfaces
- The Veech group; correspondence between cusps and cylinder decompositions.
- Geometry of C2 and the Hopf fibration
- Intro to complex hyperbolic space
- Complex hyperbolic triangle groups: survey
- My proof of the Goldman-Parker conjecture
- The last ideal triangle group
- Thurston's butterfly moves and real hyperbolic orbifolds.
- Thurston's Shapes of Polyhedra paper
- The Projective Group and the associated symmetric space
- Proof of the theorems of Pascal, Brianchon, Pappus.
- My paper, Pappus's Theorem and the Modular Group
- (A bit about) convex projective structures on surfaces