PhD Studentship - 2--Representation Theory of (Finitary) 2-categories (MIEMIETZV_U18SCI)

University of East Anglia - Mathematics

Start Date: October 2018

No. of positions available: 1

Supervisor: Dr Vanessa Miemitz

Project description:

This PhD project is situated in the area of higher representation theory, also called categorification. This is an extremely successful young branch of mathematics, having developed in the last 15-20 years, which has led to many breakthroughs in representation theory, as well as neighbouring areas such as topology (in particular, knot theory) and geometry. The PhD student will be introduced to the ideas in this area, and then work developing the abstract theory of 2-representations of 2-categories with favourable properties, and applying it to specific examples, such as categorification of quantum groups or categories of Soergel bimodules. The methodology will mainly come from representation theory, category theory and homological algebra.

Interviews will be held w/c 22 January 2018.

Person specification:

Acceptable first degree: Mathematics.

Minimum entry requirement: Masters degree or equivalent required.

Funding notes:

This PhD project is in a Faculty of Science competition for funded studentships. These studentships are funded for 3 years and comprise home/EU fees, an annual stipend of £14,553 and £1000 per annum to support research training. Overseas applicants may apply but they are required to fund the difference between home/EU and overseas tuition fees (in 2017/18 the difference is £13,805 for the Schools of CHE, PHA & MTH (Engineering), and £10,605 for CMP & MTH but fees are subject to an annual increase).

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