Contact
cdoneill «at» sdsu.edu
GMCS Building, Room 570
5500 Campanile Dr
San Diego, CA 92182
U.S.A.
GMCS Building, Room 570
Math & Stats Department
San Diego State University5500 Campanile Dr
San Diego, CA 92182
U.S.A.
Math 621: Algebraic Topology (Spring 2021)
| Lectures: | TTh 12:30pm - 1:45pm |
| Textbooks: | Algebraic Topology, by Allen Hatcher (optional) |
| Elements of Algebraic Topology, by James Munkres (optional) |
As described in the course catalog, this course covers advanced topics in algebra. This semester will focus on algebraic topology, that is, algebraic invariants of topological spaces. We will cover simplicial and cellular complexes, homotopy equivalence, the fundamental group, covering spaces, and homology. Additional topics will be covered as time permits.
Announcements
January 16, 2021:
Course webpage has been created.
January 16, 2021:
A syllabus and lecture schedule have been uploaded.
January 16, 2021:
A description of the course project has been uploaded.
April 2, 2021:
A description of the course project has been updated to include new projects.
April 3, 2021:
The lecture schedule has been updated.
Resources
The course syllabus.
A tentative day-by-day schedule (subject to change without notice).
A description of the course project.
The course Canvas page, which contains all Zoom links.
Homework
There will be one homework assignment given each week, usually assigned on Thursday and due in class the following Thursday. There will also be one preliminary assignment given each week, usually assigned on Tuesday after class and due in class on Thursday.
I will post links to homework assignments here. If you have questions about course material, do not hesistate to ask me in/before/after class, stop by my office hours, or email me.
Preliminary Assignment 1,
due Thursday, January 28, 2021.
Preliminary Assignment 2,
due Thursday, February 4, 2021.
Preliminary Assignment 3,
due Thursday, February 11, 2021.
Preliminary Assignment 4,
due Thursday, February 18, 2021.
Preliminary Assignment 5,
due Thursday, February 25, 2021.
Preliminary Assignment 6,
due Thursday, March 4, 2021.
Preliminary Assignment 7,
due Thursday, March 11, 2021.
Preliminary Assignment 8,
due Thursday, March 18, 2021.
Preliminary Assignment 9,
due Thursday, March 25, 2021.
Preliminary Assignment 11,
due Thursday, April 8, 2021.
Preliminary Assignment 13,
due Thursday, April 22, 2021.