THE UNIVERSITY of EDINBURGH

DEGREE REGULATIONS & PROGRAMMES OF STUDY 2022/2023

Timetable information in the Course Catalogue may be subject to change.

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DRPS : Course Catalogue : School of Mathematics : Mathematics

Undergraduate Course: Modern Methods in Geometry and Topology (MATH11142)

Course Outline
SchoolSchool of Mathematics CollegeCollege of Science and Engineering
Credit level (Normal year taken)SCQF Level 11 (Year 5 Undergraduate) AvailabilityAvailable to all students
SCQF Credits10 ECTS Credits5
SummaryNB. 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 2021/22 the topic of this course is planned to be Complex Geometry.

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)
Co-requisites
Prohibited Combinations Other requirements With permission of the lecturer, Algebraic Geometry can be taken simultaneously.

Information for Visiting Students
Pre-requisitesNone
High Demand Course? Yes
Course Delivery Information
Not being delivered
Learning Outcomes
On completion of this course, the student will be able to:
  1. Learn one of the methods that have become essential for the study of Geometry and Topology during the 20th century.
  2. Explain the method's underlying definitions and essential constructions and provide examples illustrating them.
  3. 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.
  4. Apply this method as a problem-solving tool.
Reading List
Daniel Huybrechts, Complex Algebraic Geometry, An Introduction.
Additional Information
Graduate Attributes and Skills Not entered
KeywordsMMGT
Contacts
Course organiserDr Brian Williams
Tel:
Email: brian.williams@ed.ac.uk
Course secretaryMr Martin Delaney
Tel: (0131 6)50 6427
Email: Martin.Delaney@ed.ac.uk
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