Guidelines

• Your paper should present, in an expository way, a topic related to but not covered in the course.
  - More advanced material,
  - a subject touched on in the course but not presented in depth, or
  - a subject used as background in the course that you would like to pursue in more detail

  are all suitable topics.

  Your paper should be about 10 typewritten (preferrably TeX'ed) pages .

  A short paper showing you have understood a topic thoroughly is the best.

  Try to make your treatment as concrete as possible -- include examples as well as theory. The more focused the better.

Some Possible Topics

• No Invariant Line Fields for Kleinian Groups (Sullivan, Otal)
• Slodkowski's lambda-lemma (Douady, Sem. Bourbaki)
• Solving the Beltrami equation (many sources)
• Fatou-Leau Flower theory (Milnor)
• Pseudo-Ansov maps via Teichmueller theory (Bers)
• Combinatorics of the Mandelbrot set (Douady-Hubbard)
• The no wandering domains theorem (Sullivan, Milnor)
• Pleated surfaces and tameness (Bonahon, Canary)
• Renormalization
• Zippers and schlicht functions (Thurston)
• Yoccoz bound on the limbs of M (Hubbard)

Due Date

• Papers are due by NOON on Monday, 7 January 2002. This deadline is firm!
• Please hand your paper into the mailbox marked "McMullen" outside 325 SC.