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.

Offerings

S2-01-CLAYTON-ON-CAMPUS

Rules

Enrolment Rule

Contacts

Chief Examiner(s)

Associate Professor Jessica Purcell

Unit Coordinator(s)

Associate Professor Jessica Purcell

Notes

IMPORTANT NOTICE:
Scheduled teaching activities and/or workload information are subject to change in response to COVID-19, please check your Unit timetable and Unit Moodle site for more details.

This unit will be offered every alternate year 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 - In-semester 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