### Recent Submissions

• #### Well-posedness and scattering of the Chern-Simons-Schrödinger system ﻿

(2017-10-01)
The subject of the present thesis is the Chern-Simons-Schrödinger system, which is a gauge-covariant Schrödinger system in two spatial dimensions with a long-range electromagnetic field. The present thesis studies two ...
• #### 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 ...