I. The book and these two papers give an introduction to Teichmueller theory

Teichmueller Theory and Quadratic Differentials, Wiley Interscience, 1987.

Extremal Length and Uniformization.

A short course on Teichmueller's theorem.

II. These papers give results concerning Thompson's acting as a mapping class group.

Dual dynamical systems for circle endomorphisms.

Circle endomorphisms, dual circles and Thompson's group.

III. This paper concerns Stasheff's associahedron as an entity coming from the finite earthquake theorem for n moving points on a circle.

Finite earthquakes and the associahedron.

IV. This paper concerns shows that Caratheodory's infinitisimal metric is strictly less Kobayashi's in directions corrsponding to tangent vectors for separating cylindrical differentials.

Caratheodory's and Kobayashi's metrics on Teichmueller space.

V. This paper gives an extremal length proof of the uniformization theorem for Riemann surfaces base on maximizing reduced modulus of embedded annuli.oncerns Shows that Caratheodory's infinitisimal metric is strictly less Kobayashi's in directions corrsponding to tangent vectors for separating cylindrical differentials.  

Extremal length and uniformization.