Undergraduate Course: Modern Methods in Geometry and Topology (MATH11142)
|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
|Summary||NB. This course is delivered *biennially* with the next instance being in 2019 - 20. 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.
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 2019/20 the topic of this course is planned to be Homotopy Theory.
Entry Requirements (not applicable to Visiting Students)
||Other requirements|| Students must have taken;
Honours Algebra (MATH10069)
General Topology (MATH10076)
With permission of the lecturer, General Topology can be taken simultaneously.
Information for Visiting Students
|High Demand Course?
Course Delivery Information
|Not being delivered|
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.
|Graduate Attributes and Skills
|Course organiser||Dr Clark Barwick
Tel: (0131 6)50 5073
|Course secretary||Mr Martin Delaney
Tel: (0131 6)50 6427