Goal of this course
note is primarily to develop the foundations of geometric measure theory, and
covers in detail a variety of classical subjects. A secondary goal is to
demonstrate some applications and interactions with dynamics and metric number
theory.

This note covers the following topics: Rigidity and inflexibility in conformal dynamics, Hausdorff
dimension and conformal dynamics: Strong convergence of Kleinian groups,
Geometrically finite rational maps and Computation of dimension.

This note covers the following topics: Thomasina's Geometry of
Irregular Forms, The Chaos Game, The Sierpinski Hexagon, Thomasina's Fern
and Valentine's Grouse.