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

• The Uniformization theorem (Forster)
• Algebraic number fields, valuations, etc. (Lang)
• Hodge theory (Griffiths and Harris)
• Topics in algebraic curves (Griffith and Harris)
• Higher-dimensional varieties (Griffiths and Harris)
• Topics in hyperbolic geometry (Buser)
• Elliptic operators and distributions (Rudin)
• Belyi maps and dessins d'enfants (Schneps)
• Abelian varieties -- which complex tori are algebraic? (G&H)

Due Date

• Papers are due by NOON on Monday, 14 May 2001. This deadline is firm!
• Please hand your paper into the mailbox marked "McMullen" outside 325 SC.