Algebraic Topology I
Ben Williams (University of British Columbia)Jan 6, 2026 — Apr 10, 2025
About the course
This is a course in homology and cohomology of topological spaces. We study spaces and continuous functions by means of abelian groups and their homomorphisms. Topics will include cellular homology of spaces, calculation techniques and applications (e.g., fixed point theorems, invariance of domain), homological algebra, and cohomology, including the cup product and Poincaré duality.
Registration
This course is available for registration under the Western Dean's Agreement. To register, you must obtain the approval of the course instructor and you must complete the Western Dean's agreement form , using the details below. The completed form should be signed by your home institution department and school of graduate studies, then returned to the host institution of the course.
Enrollment Details
- Course Name
- Algebraic Toplogy I
- Date
- Jan 6, 2026 — Apr 10, 2025
- Course Number
- MATH 527
- Section Number
- Section Code
Instructor(s)
For help with completing the Western Dean’s agreement form, please contact the graduate student program coordinator at your institution. For more information about the agreement, please see the Western Dean's Agreement website
Other Course Details
Class Schedule
- TBA
Remote Access
Remote access for this course will be provided via zoom. The instructor intends to lecture from handwritten notes on a tablet. Lecture notes will be provided after the lectures have been delivered.
Availability
This course may be open to students from universities outside of the PIMS network, and those coming from industry/government.