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Cardiff University, Cardiff School of Mathematics PhD Projects, Programs & Scholarships

We have 32 Cardiff University, Cardiff School of Mathematics PhD Projects, Programs & Scholarships

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  Micro- and nano-scale statistical properties of rough engineering surfaces and their tribological properties
  Dr A Pepelyshev
Applications accepted all year round

Funding Type

PhD Type

The proposed studies will create databases of surface roughness of various engineering surfaces at different scales. atomic, nano- and micro-scales.
  Modelling of sporting events using artificial intelligence and statistical methods for big data
  Dr A Pepelyshev, Prof A Zhigljavsky
Applications accepted all year round

Funding Type

PhD Type

There are many statistical and mathematical models that can be used to predict results of sporting events such as football or tennis match.
  Nonlinear acoustic-gravity wave theory
  Dr U Kadri
Applications accepted all year round

Funding Type

PhD Type

In the linear theory, gravity waves are virtually decoupled from acoustic (compression) waves, because the propagation speed of acoustic waves far exceeds the maximum phase speed of gravity waves.
  Nonlinear PDEs (deterministic or stochastic coefficients)
  Dr F Dragoni, Prof N Dirr
Applications accepted all year round

Funding Type

PhD Type

Nonlinear PDEs (deterministic or stochastic coefficients). The project is in the area of stochastic homogenization for nonlinear PDEs (Partial Differential Equations) associated to a low regularity condition called the Hormander condition.
  Number Theory; On Multi-Dimensional Sequences of Convergents
  Dr M Lettington, Dr K M Schmidt
Applications accepted all year round

Funding Type

PhD Type

This project is centred on constructions and limits of sequences of vector convergents, systems of polynomials and generating function matrices, including the application of special function theory.
  On multi-dimensional continued fractions
  Dr K M Schmidt, Dr M Lettington
Applications accepted all year round

Funding Type

PhD Type

n a recent breakthrough, a particular multi-dimensional analogue of the two-dimensional continued fraction algorithm has been established by Lettington and his collaborators, which incorporates and extends the normal continued fraction construction of convergents to a point (x1,...,xm)∈Rm.
  Operator algebras
  Dr M Pugh
Applications accepted all year round

Funding Type

PhD Type

A group acting outerly on a hyperfinite II1 factor can be recovered from the inclusion of its fixed point algebra. A general subfactor encodes a more sophisticated symmetry, including but going beyond quantum groups.
  Radiation of acoustic-gravity waves by an impacting object
  Dr U Kadri
Applications accepted all year round

Funding Type

PhD Type

When solid objects, such as an aircraft or meteorite, impact the water surface in the deep ocean they generate propagating compression-type waves known as acoustic-gravity waves (AGWs).
  Remote control of gas-liquid flow in horizontal pipelines
  Dr U Kadri
Applications accepted all year round

Funding Type

PhD Type

Long liquid slugs reaching a length of several hundreds of pipe diameter may appear when transporting gas and liquid in horizontal or nearly horizontal pipelines.
  Sparsity and structures in large-scale machine learning problems.
  Dr B Gauthier, Prof A Balinsky
Applications accepted all year round

Funding Type

PhD Type

The terminology “big data” is generally used to refer to datasets that are too large or complex for traditional data-processing technics to adequately deal with them.
  Spectral Theory of Differential Operators
  Dr K M Schmidt
Applications accepted all year round

Funding Type

PhD Type

Research on this theme is characterised by a combination of functional and harmonic analysis with classical real and complex analysis, special functions and the asymptotic analysis of differential equations.
  VC International Scholarship in Combining game theory and the weak noise limit to understand spatio-temporal ecological models of animal movements.
  Dr TE Woolley, Dr V Knight
Application Deadline: 1 June 2020

Funding Type

PhD Type

Please see eligibility criteria before applying. The project seeks to bring together two different but complementary fields of mathematics in order to extract further understanding from each.
  VC International Scholarship in Coordinated movement of random fish schooling
  Dr U Kadri, Dr C Davies
Application Deadline: 1 June 2020

Funding Type

PhD Type

Please see eligibility criteria before applying. One of the most highly debated questions in the field of animal swarming and social behaviour, is the collective random patterns and chaotic behaviour formed by some animal species, in particular fish schooling.
  VC International Scholarship in Development of a platform for healthcare operations management underpinning strategic, tactical and operational decisions
  Dr D Gartner, Prof P Harper
Application Deadline: 1 June 2020

Funding Type

PhD Type

Please see eligibility criteria before applying. A graphical user interface will be developed in close collaboration with NHS practitioners (physicians, nurses and managers) to support decision making.
  VC International Scholarship in Low rank approximations of matrices with a focus on statistical applications
  Dr JW Gillard, Prof A Zhigljavsky
Application Deadline: 1 June 2020

Funding Type

PhD Type

Please read eligibility criteria before applying. This proposal will investigate the structured low-rank approximation (SLRA) problem.
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