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DTC MATH 9 - Topology of homological surface bundles

  • Full or part time
  • Application Deadline
    Applications accepted all year round
  • Self-Funded PhD Students Only
    Self-Funded PhD Students Only

Project Description

The study of fibre bundles of surfaces and the mapping class group has been an extremely rich subject over the past decades, combining many beautiful ideas from topology, homotopy theory, group theory, and algebra. The mapping class group sits inside a mysterious larger group made from 3-manifolds with boundary that have the same homology as a surface crossed with an interval, and there are many open questions about this group. In this project we will approach this mysterious group from a novel geometric perspective by studying the topology of the classifying space of homological surface bundles.

Entry requirements

Candidates must have a minimum of an upper second class honours degree or equivalent in a relevant subject, or an appropriate Master’s degree (with Merit). Informal enquiries are welcome by emailing the project supervisor.

For candidates whose first language is not English, we require IELTS 6.0 (with 5.5 in each component) or equivalent. Please visit our website for a list of acceptable English language tests. We prefer candidates to have already met the English Language requirements at the point of application, although this is not a requirement.

How to apply

Visit our webpage for details - http://www.swansea.ac.uk/science/research/dtc/biosciences-projects-2018-19/

Please include the project ID and title in your email subject header (eg. DTC MATH xxxxxx)

Funding Notes

Student Finance England have announced plans to offer student loans for PhD level courses from September 2018 for courses at any PhD awarding university (including Swansea University). Full details are still to be confirmed. Visit our website for updated information. – View Website

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