Unit name | Topics in Modern Geometry 34 |
---|---|
Unit code | MATHM0008 |
Credit points | 10 |
Level of study | M/7 |
Teaching block(s) |
Teaching Block 1A (weeks 1 - 6) |
Unit director | Dr. Jordan |
Open unit status | Not open |
Pre-requisites |
MATH20006 Metric Spaces and MATH21800 Algebra 2. MATH20004 Introduction to Geometry and MATH33300 Group Theory are helpful but not essential. |
Co-requisites |
None |
School/department | School of Mathematics |
Faculty | Faculty of Science |
Unit Aims
The aim of the unit is to introduce students to types of geometry which are instrumental in current research. In particular the unit will look at the use fo notion from abstract algebra and analysis in geometry.
Unit Description
The unit will look at two topics in modern geometry. This topic will be one of topological groups, hyperbolic geometry, Lie groups or the geometry of group actions. It will also develop the topology and algebra needed to studey these topics.
Relation to Other Units
The course expands ideas introduced in MATH21800 Algebra 2, and has relations to MATH20200 Metric Spaces, MATH33300 Group Theory, MATHM1200 Algebraic Topology and the proposed new level M unit Algebraic Geometry. Students may not take this unit if they have taken the corresponding Level H/6 unit MATH30001 Topics in Modern Geometry 3.
Students who successfully complete the unit should:
Lectures, including examples and revision classes, supported by lecture notes with problem sets and model solutions. Self-study with directed reading based on recommended material.
80% Examination and 20% Coursework.
Coursework will be 4 homework sheets during the lectures weeks 1-6 each worth 2.5% and then a sheet with questions from the whole unit set in weeks 7-10 worth 10%.
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