### Recent Submissions

• #### On fundamental computational barriers in the mathematics of information ﻿

(2018-10-20)
This thesis is about computational theory in the setting of the mathematics of information. The first goal is to demonstrate that many commonly considered problems in optimisation theory cannot be solved with an algorithm ...
• #### Asymptotic theory for Bayesian nonparametric procedures in inverse problems ﻿

(2015-07-18)
The main goal of this thesis is to investigate the frequentist asymptotic properties of nonparametric Bayesian procedures in inverse problems and the Gaussian white noise model. In the first part, we study the frequentist ...
• #### An Optimisation-Based Approach to FKPP-Type Equations ﻿

(2018-07-21)
In this thesis, we study a class of reaction-diffusion equations of the form $\frac{\partial u}{\partial t} = \mathcal{L}u + \phi u - \tfrac{1}{k} u^{k+1}$ where $\mathcal{L}$ is the stochastic generator of a Markov ...
• #### Boundary Value Problems for the Laplace Equation on Convex Domains with Analytic Boundary ﻿

(2018-04-07)
In this thesis we study boundary value problems for the Laplace equation on do mains with smooth boundary. Central to our analysis is a relation, known as the global relation, that couples the boundary data for a given ...