Advanced Topics in Geometry and Topology (MAST90124)

Intended learning outcomes

On completion of this subject, the student should be able to:

• Describe the main results of the topic covered.
• Apply independently the methods used in the topic prove minor results.
• Explain the core methods of proof used in the topic.
• Understand and explain examples applying the main results of the topic.

Generic skills

• Problem-solving skills: the ability to engage with unfamiliar problems and identify relevant solution strategies.
• Analytical skills: the ability to construct and express logical arguments and to work in abstract or general terms to increase the clarity and efficiency of analysis.
• Presentation skills: the ability to present mathematics both orally and in writing.