This subject will present an introduction to an advanced topic in geometry or topology serving to prepare students for a PhD in mathematics. The specific content will vary depending on the subject coordinator.
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.