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

We have 9 University of Manchester, School of Mathematics PhD Projects, Programs & Scholarships

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  Acoustic properties of nanofibre composites
  Prof W J Parnell
Application Deadline: 16 September 2019
Noise pollution is a serious problem in many aspects of modern society. Although many materials exist that can provide mechanisms for sound absorption, particularly in the higher frequency ranges, compact low-frequency noise attenuation and absorption remains a significant challenge.
  Bayesian Inference for Scanning Probe Microscopy Forcefield Inversion
  Prof K Law
Applications accepted all year round
The problem of fully Bayesian force-field inversion given observations from scanning probe microscopy will be considered here. The forward model is given by a simple harmonic oscillator perturbed by the nonlinear force-field, which is parametrized by a linear interpolant or expansion in some other basis.
  Fast and Reliable Algorithms for High-Performance Numerical Linear Algebra
  Prof N. J. Higham
Applications accepted all year round
The project focuses on developing a new generation of numerical linear algebra algorithms that exploit current and future computers.
  Fluid-structure interaction effects in the sedimentation of thin elastic sheets
  Prof M Heil, Prof A Juel
Applications accepted all year round
There is much current interest in so-called two-dimensional materials because of their unusual and attractive mechanical and electrical properties.
  Instabilities of buoyancy driven flows in a confined environment
  Dr J Landel
Applications accepted all year round
Buoyancy driven flows are important in many geophysical and environmental applications. from natural ventilation in buildings to the evolution of cloud particles after a volcanic eruption or an explosion.
  Marangoni driven film dynamics for diffusive mixtures
  Dr J Landel
Applications accepted all year round
Marangoni-driven flows develop due to local surface tension gradients at the interface between two liquids. These flows have many implications for biochemical systems, microfluidic systems or chemical reactors.
  Model Theory of Fields with Operators
  Dr O Sanchez
Applications accepted all year round
Model theory is a branch of Mathematical logic that has had several remarkable applications with other areas of mathematics, such as Combinatorics, Algebraic Geometry, Number Theory, Arithmetic Geometry, Complex and Real Analysis, Functional Analysis, and Algebra (to name a few).
  New approaches to time series modelling and prediction
  Dr S Guettel
Applications accepted all year round
This PhD project under the supervision will be concerned with new rational Krylov techniques and machine learning techniques in the context of time series modelling.
  Quantitative Aspects of Number Theory
  Dr C Frei
Applications accepted all year round
The aim of this project is to investigate problems in number theory that have a quantitative component. Typically, the problems would involve some algebraic objects, such as algebraic number fields or rational points on algebraic varieties.
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