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 |
Lecturers: Heilbronn Fellows (to be confirmed)
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 of notion from abstract algebra and analysis in geometry.
Unit Description
The unit will look at two topics in modern geometry. This topic will be two out of topological groups, hyperbolic groups, Lie groups, geometry of group actions and fractal geometry. It will also develop the topology and algebra needed to study 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.
Intended Learning Outcomes:
The unit will be taught through a combination of
80% Timed, open-book examination 20% Coursework
Raw scores on the examinations will be determined according to the marking scheme written on the examination paper. The marking scheme, indicating the maximum score per question, is a guide to the relative weighting of the questions. Raw scores are moderated as described in the Undergraduate Handbook.
If you fail this unit and are required to resit, reassessment is by a written examination in the August/September Resit and Supplementary exam period.
Recommended reading list to be updated prior to the start of the 2020/21 academic year.