Fall 2026
Hongbin Sun
Course Description:
This is an introduction course on basic algebraic topology. We will cover the following topics: homotopy, fundamental groups, covering spaces, singular, simplicial, and cellular homology theories. We will also talk about applications of algebraic topology in low-dimensional topology.
Text:
Allen Hatcher, Algebraic Topology
Prerequisites:
Point-set topology and abstract algebra (groups, rings, fields).
*****************************************************************************************************
Fall 2025
Feng Luo
Course Description:
This is a standard first course in algebraic topology. We will cover the following topics: fundamental group and covering spaces, singular, simplicial, and cellular homology.
Text:
Allen Hatcher, Algebraic Topology
Prerequisites:
Point-set topology and abstract algebra (groups, rings, fields).
************************************************************
Fall 2024
Hongbin Sun
Course Description:
This is a standard first course in algebraic topology. We will cover the following topics: fundamental group and covering spaces, singular, simplicial, and cellular homology.
Text:
Allen Hatcher, Algebraic Topology
Prerequisites:
Point-set topology and abstract algebra (groups, rings, fields).
************************************************************
Fall 2023
Feng Luo
Course Description:
This is an introduction course on basic algebraic topology. We will cover the following topics: homotopy, fundamental groups, covering spaces, singular, simplicial and cellular homology theories. Applications of algebraic topology will also be discussed.
Text:
Allen Hatcher, Algebraic Topology; J. Vick, Homology Theory
Prerequisites:
Point-set topology and group theory
************************************************************
Fall 2022
Hongbin Sun
Course Description:
This is a standard first course in algebraic topology. We will cover the fundamental group and covering spaces, singular, simplicial, and cellular homology and cohomology, and Poincare duality.
Text:
Algebraic Topology, by Allen Hatcher
Prerequisites:
Point set topology and abstract algebra (groups, rings, fields).
************************************************************
Fall 2021
Kristen Hendricks
Course Description:
This is a standard first course in algebraic topology. We will cover the fundamental group, covering spaces, singular, simplicial, and cellular homology and cohomology, and Poincare duality. Along the way we will prove some rather nice applications.
Text:
Allen Hatcher, Algebraic Topology
Prerequisites:
Point-set topology and abstract algebra (groups, rings, fields).
***************************************************
Schedule of Sections:
Previous Semesters:
- Fall 2020 Prof. Hendricks
- Spring 2019 Prof. Weibel