Overview

The study of low-dimensional topology is the study of spaces of dimensions 2, 3, and 4, including the study of surfaces and their symmetries, knots and links, and structures on 3 and 4-manifolds. It has applications to mathematical fields such as geometry and dynamics; it also has modern applications to … For more content click the Read More button below.

Rules

Enrolment Rule

Contacts

Chief Examiner(s)

Associate Professor Jessica Purcell

Unit Coordinator(s)

Associate Professor Jessica Purcell

Notes

This unit is offered in alternate years commencing Semester 2, 2020

Learning outcomes

On successful completion of this unit, you should be able to:
1.

Formulate complex mathematical arguments using ideas from low-dimensional topology.

2.

Apply sophisticated tools of low-dimensional topology to tackle novel problems, for example, to distinguish or classify new spaces, etc.

3.

Communicate mathematical concepts and arguments.

4.

Apply critical thinking to judge the validity of mathematical reasoning.

Teaching approach

Active learning

Assessment

1 - Continuous assessment
2 - Examination (3 hours and 10 minutes)

Scheduled and non-scheduled teaching activities

Applied sessions
Lectures

Workload requirements

Workload

Availability in areas of study

Master of Mathematics