Course Information for Math 595, Spring 2017
No class Thursday, March 30
Instructor: Chris Leininger,
Office: 366 Altgeld Hall.
Office hours: By appointment
Textbook: We will start out in Bridson and Haefliger's book Metric Spaces of Non-Positive
Curvature, specifically Chapters III.H (1-3) and III.Gamma (2,3). In addition (and after the first few
weeks), we will draw on material from several papers, which will be listed here in due course.
Lecture Room and Times: 313 Davenport Hall, Tuesday and Thursday, 2:00 - 3:20. On days when the
GGD/GEAR seminar has lunch, I might be a few minutes late.
Prerequisites: I'm going to assume you are very familiar with fundamental group and covering spaces
and the classification of surfaces. Differential topology and some Riemannian geometry would be helpful, but not
Grades: This is based on classroom attendence and participation. I expect anyone who comes all
semester to get an A (of course, if you're sick you should stay home...). There will be no exams, quizzes or
Problems: I will give some problems and exercises throughout the semester, usually during the lecture.
The range of difficulty will be dramatic: some exercises will merely require you to finish a proof, others may be
open problems in the field. I'm happy to discuss these problems whenever.