Undergraduate Course: Modern Methods in Geometry and Topology (MATH11142)
Course Outline
| School | School of Mathematics |
College | College of Science and Engineering |
| Credit level (Normal year taken) | SCQF Level 11 (Year 5 Undergraduate) |
Availability | Available to all students |
| SCQF Credits | 10 |
ECTS Credits | 5 |
| Summary | This course will highlight important developments in geometry and topology throughout the preceding century, and train students to approach problems in these fields with a modern perspective. Topics will draw from the research interests and expertise of staff teaching the course. |
| Course description |
The syllabus will vary from year-to-year. Possible topics include:
- Cohomological methods in geometry and topology
- Combinatorial algebraic geometry
- Classification of manifolds
- Homotopy theory
- Symplectic geometry
- Riemann surfaces
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Information for Visiting Students
| Pre-requisites | None |
Course Delivery Information
| Not being delivered |
Learning Outcomes
Students will learn one of the methods that have become essential for the study of Geometry and Topology during the 20th century. They will
1. be able to explain the method's underlying definitions and essential constructions, and
2. be able to provide examples illustrating them;
3. understand its application for fundamental results in the area, and be able to demonstrate this understanding by explaining key steps in the proof of these fundamental results; and
4. learn to apply this method as a problem-solving tool.
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Additional Information
| Graduate Attributes and Skills |
Not entered |
| Keywords | MMGT |
Contacts
| Course organiser | Dr Thomas Leinster
Tel: (0131 6)50 5057
Email: Tom.Leinster@ed.ac.uk |
Course secretary | Mrs Alison Fairgrieve
Tel: (0131 6)50 5045
Email: Alison.Fairgrieve@ed.ac.uk |
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