Discrete and Polyhedral Geometry

Course: MATH 8680, Topics in Combinatorics

Instructor: Igor Pak, VinH 258, pak@math.

Class Schedule: MWF 2:30, VinH 211.

Brief outline

We will discuss a variety of combinatorial and geometric questions on convex polytopes, along with a number of application. The content of the course is outlined below. The lectures will follow selected chapters from my forthcoming book.


P.S. This is a little too ambitious. Due to the time constraints I might have to cut a few results at the end.

Course Textbooks:

My book should suffice. For further reading see:

J. Matousek, Lectures on Discrete Geometry, Graduate Texts in Mathematics 202, Springer, 2002.
G. Ziegler, Lectures on Polytopes, Graduate Texts in Mathematics 152, Springer, 1995.
P.M. Gruber, Convex and discrete geometry, Springer, Berlin, 2007.
A. Barvinok, Course in Convexity, Graduate Studies in Mathematics 54, AMS, 2002.
B. Grunbaum, Convex Polytopes, Graduate Text in Mathematics 221, Springer, 2003.
J. Pach and P.K. Agarwal, Combinatorial geometry, John Wiley, New York, 1995.

I believe all these books are available in the math library, from Amazon.com and other retailers.

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Last updated 8/14/2008