### Recent Submissions

• #### Deformation theory of Cayley submanifolds ﻿

(2017-05-04)
Cayley submanifolds are naturally arising volume minimising submanifolds of $Spin(7)$- manifolds. In the special case that the ambient manifold is a four-dimensional Calabi--Yau manifold, a Cayley submanifold might be a ...
• #### Isospectral algorithms, Toeplitz matrices and orthogonal polynomials ﻿

(2017-04-01)
An isospectral algorithm is one which manipulates a matrix without changing its spectrum. In this thesis we study three interrelated examples of isospectral algorithms, all pertaining to Toeplitz matrices in some fashion, ...
• #### Mathematical modelling of noise generation in turbofan aeroengines using Green’s functions ﻿

(Department of Applied Mathematics and Theoretical Physics, University of Cambridge, 2016-10-07)
With demand for aircraft travel set to double in the next twenty years, targets are in place to reduce noise levels and emissions. For example, one target is that the effective perceived noise from aircraft in 2020 should ...
• #### Efficient nonparametric inference for discretely observed compound Poisson processes ﻿

(Cambridge Centre for Analysis (CCA), Centre for Mathematical Sciences, University of Cambridge, 2017-03-22)
Compound Poisson processes are the textbook example of pure jump stochastic processes and the building blocks of Lévy processes. They have three defining parameters: the distribution of the jumps, the intensity driving the ...