Please note: these are works-in-progress and are bound to have errors. If you notice any, please let me know. (mduchin@math.uchicago.edu)
Section I. Intro to billiards
Section II. Tools for billiards: geometry and topology
Section III. Polarized flat structures: equivalent definitions
Section IV. More tools: dynamics and lattices
Section V. SL(2,R)-action on the space of flat structures
This summer course with nine undergraduate participants, was supported by an NSF Focused Research Grant administered by Howard Masur, Alex Eskin, and Benson Farb.
Taught at the University of Chicago in August 2004 by Moon Duchin and Predrag Savic.