DTC MATH 11 - Quasi-free states on the algebra of the anyon commutation relations

Anyon statistics are intermediate statistics between Fermi and Bose statistics and they have been used by physicists to describe the quantum Hall effect. Mathematically anyon statistics are described by operator algebras generated by certain creation and annihilation operators satisfying the q-commutation relations with q complex of modulus one. You will study representations of the q-commutation relations related to quasi-free states on the anyon algebra.

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.

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