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 | NB. This course is delivered *biennially* with the next instance being in 2023-24. It is anticipated that it would then be delivered every other session thereafter.
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
For 2023/2024 the topic of this course is planned tbc
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Entry Requirements (not applicable to Visiting Students)
| Pre-requisites |
Students MUST have passed:
Honours Complex Variables (MATH10067) AND
Honours Algebra (MATH10069) AND
Geometry (MATH10074) AND
Algebraic Geometry (MATH11120)
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Co-requisites | |
| Prohibited Combinations | |
Other requirements | With permission of the lecturer, Algebraic Geometry can be taken simultaneously.
Note that PGT students on School of Mathematics MSc programmes are not required to have taken pre-requisite courses, but they are advised to check that they have studied the material covered in the syllabus of each pre-requisite course before enrolling.
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Information for Visiting Students
| Pre-requisites | None |
| High Demand Course? |
Yes |
Course Delivery Information
| Not being delivered |
Learning Outcomes
On completion of this course, the student will be able to:
- Learn one of the methods that have become essential for the study of Geometry and Topology during the 20th century.
- Explain the method's underlying definitions and essential constructions and provide examples illustrating them.
- Understand application of the method for fundamental results in the area and demonstrate this understanding by explaining key steps in the proof of these fundamental results.
- Apply this method as a problem-solving tool.
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Reading List
| Daniel Huybrechts, Complex Algebraic Geometry, An Introduction. |
Additional Information
| Graduate Attributes and Skills |
Not entered |
| Keywords | MMGT |
Contacts
| Course organiser | Dr Clark Barwick
Tel: (0131 6)50 5073
Email: |
Course secretary | Mr Martin Delaney
Tel: (0131 6)50 6427
Email: |
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