Math 149 - Applied Algebraic Topology - Winter 2014

Homepage http://math.stanford.edu/~gunnar/149webpage.html/

Classes TTh 9:30-10:45 in McCullough 126

Instructor Gunnar Carlsson

Office 383L

e-mail gunnar@math.stanford.edu
Telephone: 3-2224

Office hours Tu 10:45-11:45, W 10-11, F 10-11

Course Assistant Sara Kalisnik

Office 380-381K

e-mail kalisnik@math.stanford.edu

Office hours Th 11-2

About the class: Topology is an area of mathematics which is beginning to be applied in various directions since, roughly, 2000. We will give a brief introduction to "pure" part of the subject, and then discuss various directions of application. Persistent homology will play a key role.

References: For topology, the books Basic Topology by M. Armstrong and Algebraic Topology by A. Hatcher are quite useful. For algebra, Abstract Algebra by Dummitt and Foote is excellent.

Assessment: . There will be three problem sets and a major final project. The three problem sets will count for 50% of the grade, as will the final project. The timelines are in the syllabus/timeline document below.

Comptop Web page

Syllabus/Timeline

Persistence survey paper

Reduction methods for homology computations

Project suggestions