MTH5115 · Algebraic topology

Overview

This unit develops the main tools from algebra that are used to study and distinguish spaces. These tools are used in a variety of fields, from mathematics to theoretical physics to computer science. Algebraic topology relates to concrete problems, and sophisticated tools will be presented to tackle such problems. The core topics covered in the unit include the fundamental group and covering spaces, and homology. Cohomology and/or homotopy theory will also be studied.

Areas of study: Master of Mathematics

Offerings

Assessment

The Handbook lists an examination for this unit.

Assessment details may change. Please refer to the assessment information in Moodle closer to the start of the teaching period.

Requisites

Learning outcomes

1. Demonstrate profound understanding of the core concepts in algebraic topology.
2. Formulate complex mathematical arguments in algebraic topology.
3. Apply sophisticated tools of algebraic topology to tackle new problems.
4. Communicate difficult mathematical concepts and arguments with clarity.
5. Apply critical thinking to judge the validity of mathematical reasoning.

Workload

• 3 hours of seminars; • 1 hour applied session and • 8 hours of independent study per week

Student experience, not official rules. Nothing here changes what the Handbook says.