## Course Information for Math 595, Spring 2017

No class Thursday, March 30

**Instructor:** Chris Leininger,
**Email:** clein@math.uiuc.edu,
**Phone:** 265-6763.

**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
a necessity.

**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
homework collected.

**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.