Department of Mathematics
Math 510- Fall 2004

Algebraic Curves and Riemann Surfaces

TTh at 9:00-10:20am in 141 Altgeld Hall

This course is part ``introduction to complex differential geometry'' and part ``introduction to algebraic geometry''. The intersection of these two subjects is nowhere better exemplified than in the theory of compact Riemann Surfaces, or equivalently, complex algebraic curves. For this reason, as well as for their intrinsic beauty, we focus on the objects listed in the Course Title. We will closely follow the book `Introduction to Algebraic Curves' by Phillip Griffiths. Our goal is to work through the entire book.

Professor Steven Bradlow [bradlow@uiuc.edu]
Office: 238 Illini Hall
Office Hours:  TBA, or by appointment

Introduction to Algebraic Curves by Phillip A. Griffiths, Translations of Mathematical Monographs, Vol. 76, published by the AMS

There will be a take-home exam. This may be split up into one or more problem sets assigned during the course of the semester. Write-ups should be done on your own, but discussion of the assignments with others is NOT forbidden.

There are many good books on Riemann Surfaces and Algebraic Curves. The following is by no means an exhaustive list, but contains a selection of books that are either particularly accessible, or close in spirit to the theme of this course, or both!

Last modified August 31, 2004