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.

2025-2026