Professor Tim Austin - High-Dimensional Probability in Ergodic Theory and Representation Theory
Students successfully applying to this grant will be part of the CDT and follow the normal CDT structure. The first year research project will be under the direction of the project supervisor, forming part of the project detailed below.
About / Project Description:
Supervisor:
Description:
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approximation of measure-preserving group actions on a probability space using permutations on finite sets, and the related notion of sofic entropy;
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analogous ideas for unitary representations of groups or C*-algebras, particularly the new notion of `almost periodic entropy';
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related combinatorial modes of convergence for sparse random graphs such as `local-global convergence';
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analogous modes of convergence for tuples of random matrices such as `strong convergence'.
Eligibility:
Level of study: PhD
Mode of study: Full Time
Fee status: Home / Overseas
Department/School: Mathematics Department
Other eligibility: the ideal applicant need not have direct experience with any of the specific topics 1–4 above, but will have taken some advanced courses containing relevant background. Examples could include ergodic theory, operator algebras, high-dimensional probability, or a course about `limit objects' for combinatorial structures.
Application Process:
To be considered for these scholarships and the CDT please apply in the Admission Portal indicating your interest in this Research Project and the name of the supervisor in your application.
Key Dates:
Application deadline: Ongoing
Application results date: April 2027