DTC MATH 3 - Trusses - detailed study of properties and the nature of trusses with application to the Yang-Baxter equations

Applications of the Yang-Baxter equation range from the description of physical forces of the nature (quantum field theory, integrable Hamiltonian systems in particle and statistical physics), through classification of geometric and topological objects in mathematics (knot theory, group theory) to foundations of mathematics (braided monoidal categories). It has been recently discovered that set theoretic Yang-Baxter equations are closely linked with an algebraic structure known as a brace, which resembles that of a ring, a most widespread way of entwining of two operations on a given set. Introduced in October 2017 trusses are algebraic structures which encompass both braces and rings; the aim of the project is the detailed study of properties and the nature of trusses, and construction of examples of trusses with application to the Yang-Baxter and related equations.

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)