### Recent Submissions

• #### Modular Temperley-Lieb Theory ﻿

This dissertation considers the representation theory of Temperley-Lieb algebras, TLₙ , along with some related cellular algebras, over positive and mixed characteristic fields. The Temperley-Lieb algebras are planar ...
• #### Ranks of tensors and polynomials, with combinatorial applications ﻿

This thesis will consist of three main chapters. It is a standard fact of linear algebra that every matrix with rank k contains a k ⨯ k submatrix with rank k. In Chapter 2 we generalise this fact asymptotically to a class ...
• #### Modern Methods for Variable Significance Testing ﻿

This thesis concerns the ubiquitous statistical problem of variable significance testing. The first chapter contains an account of classical approaches to variable significance testing including different perspectives on ...