General Information | Textbook | Problem Sets | Lecture Notes | Links
623 Snow Hall, 864-7114
The best way to contact me is by e-mail:
KU course number: 65729
Meeting times: MWF, 1:00-1:50 PM, 564 Snow
Office hours: Mon 2-3, Wed 11-12, or by appointment (which I'm happy to make)
Prerequisites: Math 790-791 and Math 820, or permission of instructor.
Not all of the material covered in Math 820 will be necessary for Math 821,
but you should know what a topological space is and what "continuous", "connected", and "compact" mean
outside the context of metric spaces. If you have taken additional
algebra (e.g., Math 830), that will be helpful.
Final exam: Wednesday 5/14, 10:30-1:00.
The main textbook is Algebraic Topology by Allen Hatcher (Cambridge U. Press, 2002). The book is available as a free download from the author's website. If you choose to use the downloaded version, do not print out a copy on the department printer! You can also buy a paperback copy from the publisher (list price $44).
Other books that may be helpful:
Problem sets are due in class every two weeks. I will post problems on the website at least a week in advance. Problem sets are subject to change before that time, so make sure you have the final version.
|Number||Due date||Problems||Q&A||Solutions||Figures, etc.|
|1||Fri 1/31||hw1.tex | hw1.pdf||Q&A||hw1-solns.tex | hw1-solns.pdf|
|2||Fri 2/14||hw2.tex | hw2.pdf||Q&A||hw2-solns.tex | hw2-solns.pdf|
|3||Fri 2/28||hw3.tex | hw3.pdf||Q&A||hw3-solns.tex | hw3-solns.pdf|
|4||Fri 3/14||hw4.tex | hw4.pdf||Q&A||hw4-solns.tex | hw4-solns.pdf||dunce.pdf | torus-decomp.pdf|
|5||Fri 4/4||hw5.tex | hw5.pdf||Q&A||hw5-solns.tex | hw5-solns.pdf||Macaulay2.tex | Macaulay2.pdf|
|6||Fri 4/18||hw6.tex | hw6.pdf||Q&A||hw6-solns.tex | hw6-solns.pdf||Figure for #4 (Hatcher, p.132; I think this qualifies as fair use)|
|7||Fri 5/2||hw7.tex | hw7.pdf||Q&A||hw7-solns.tex | hw7-solns.pdf||Figure for #1b | Figure for #1c | Figure for #3 ||
Here are my lecture notes. They are password-protected (same username and password as for the solution sets) and are not for distribution.