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Unit information: Topics in Modern Geometry 34 in 2022/23

Please note: you are viewing unit and programme information for a past academic year. Please see the current academic year for up to date information.

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
Units you must take before you take this one (pre-requisite units)

MATH20006 Metric Spaces and MATH21800 Algebra 2.

MATH20004 Introduction to Geometry and MATH33300 Group Theory are helpful but not essential.

Units you must take alongside this one (co-requisite units)


Units you may not take alongside this one


School/department School of Mathematics
Faculty Faculty of Science

Unit Information

Lecturers: Thomas Jordan

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.

Your learning on this unit

Intended Learning Outcomes:

  • To know and be able to apply key definitions from the two topics covered.
  • To develop problem solving skills, writing skills and gained an appreciation of connections between areas.

How you will learn

The unit will be taught through a combination of

  • synchronous online and, if subsequently possible, face-to-face lectures
  • asynchronous online materials, including narrated presentations and worked examples
  • guided asynchronous independent activities such as problem sheets and/or other exercises
  • synchronous weekly group problem/example classes, workshops and/or tutorials
  • synchronous weekly group tutorials
  • synchronous weekly office hours

How you will be assessed

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.


If this unit has a Resource List, you will normally find a link to it in the Blackboard area for the unit. Sometimes there will be a separate link for each weekly topic.

If you are unable to access a list through Blackboard, you can also find it via the Resource Lists homepage. Search for the list by the unit name or code (e.g. MATHM0008).

How much time the unit requires
Each credit equates to 10 hours of total student input. For example a 20 credit unit will take you 200 hours of study to complete. Your total learning time is made up of contact time, directed learning tasks, independent learning and assessment activity.

See the Faculty workload statement relating to this unit for more information.

The Board of Examiners will consider all cases where students have failed or not completed the assessments required for credit. The Board considers each student's outcomes across all the units which contribute to each year's programme of study. If you have self-certificated your absence from an assessment, you will normally be required to complete it the next time it runs (this is usually in the next assessment period).
The Board of Examiners will take into account any extenuating circumstances and operates within the Regulations and Code of Practice for Taught Programmes.