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Applied Mathematics PhD Projects, Programs & Scholarships in Swansea

We have 15 Applied Mathematics PhD Projects, Programs & Scholarships in Swansea

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  Fully Funded PhD Scholarship to Develop New Methods in Topological Data Analysis
  Dr P Dlotko, Dr J Giansiracusa
Application Deadline: 31 March 2019
Start date. October 2019. Project Supervisors. Supervisor 1. Pawel Dlotko. Supervisor 2. Jeffrey Giansiracusa. Project description.
  DTC MATH 15 - Analysis of stochastic evolution equations - investigation of random field solutions of partial differential equations perturbed by random noises
  Prof JL Wu
Applications accepted all year round
This PhD project will investigate random field solutions of parabolic partial differential equations perturbed by random noises, including stochastic heat equations and parabolic Anderson models as prototype examples.
  DTC MATH 14 - Algebraic spline geometry methods in approximation theory
  Dr N Villamizar
Applications accepted all year round
The aim of the project is to explore algebraic geometry tools for the study of approximation methods based on piecewise polynomial functions, also known as splines.
  DTC MATH 13 - Heat kernel for Schroedinger operator - applications to NSE and spectral analysis
  Dr Z Sobol
Applications accepted all year round
The subject is two-sided estimates for the integral kernel of the semigroup of operators generated by the Schroedinger operators, with applications to NSE and spectral analysis.
  DTC MATH 12 - Mathematical analysis of Thomas-Fermi theory of charge screening in graphene
  Dr V Moroz
Applications accepted all year round
Mathematically, graphene could be considered as a two-dimensional object. Two dimensionality of graphene leads to a number of remarkable physical and mechanical properties which also give rise to new challenging mathematical problems.
  DTC MATH 11 - Quasi-free states on the algebra of the anyon commutation relations
  Prof E Lytvynov
Applications accepted all year round
Anyon statistics are intermediate statistics between Fermi and Bose statistics and they have been used by physicists to describe the quantum Hall effect.
  DTC MATH 10 - Probability measures on infinite dimensional spaces and umbral calculus
  Prof E Lytvynov
Applications accepted all year round
The classical umbral calculus is a study of Sheffer polynomial sequences on the real line. This theory has numerous connections with algebra, analysis, probability theory, mathematical physics, topology etc.
  DTC MATH 9 - Topology of homological surface bundles
  Dr J Giansiracusa
Applications accepted all year round
The study of fibre bundles of surfaces and the mapping class group has been an extremely rich subject over the past decades, combining many beautiful ideas from topology, homotopy theory, group theory, and algebra.
  DTC MATH 8 - Tropical geometry and scheme theory
  Dr J Giansiracusa
Applications accepted all year round
Over past few years Giansiracusa and others have initiated a new foundation for the type of polyhedral geometry known as tropical geometry; this foundation is rooted in the combinatorial theory of matroids, the algebra of idempotent semirings, and Grothendieck’s theory of schemes.
  DTC MATH 6 - Long-time behaviour of complex systems
  Dr D Finkelshtein
Applications accepted all year round
Entry requirements. Candidates must have a minimum of an upper second class honours degree or equivalent in a relevant subject, or an appropriate Master’s degree (with Merit).
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