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Aberdeen University, Department of Mathematics PhD Projects, Programs & Scholarships

We have 9 Aberdeen University, Department of Mathematics PhD Projects, Programs & Scholarships

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  Algebraic groups, geometric invariant theory and boundedness
  Prof B Martin, Dr E Meir
Applications accepted all year round

Funding Type

PhD Type

Group theory is the mathematical study of symmetry. Algebraic groups are certain groups of matrices with entries coming from a field such as the real numbers, the complex numbers or the integers modulo a prime.
  Algebraic Methods in Musical Composition
  Dr W Turner, Dr E Henke
Applications accepted all year round

Funding Type

PhD Type

Algebraic operations have been used as compositional tools for centuries. For example, the group theoretical operation of translation on the integers can be identified with the musical operation of transposition.
  Applications of topology to soft matter physics
  Dr M Grant, Dr R Hepworth
Applications accepted all year round

Funding Type

PhD Type

This project will address mathematical problems in the research field of algebraic topology, inspired by the theory of topological defects in soft materials.
  Applied Algebraic Topology in Geometry
  Dr R Hepworth, Dr M Grant
Applications accepted all year round

Funding Type

PhD Type

In recent years the techniques of algebraic topology have been applied to data analysis with great success, and the resulting subject areas of Applied Algebraic Topology and Topological Data Analysis have seen rapid growth.
  Combinatorial Representation Theory: Partitions and Basic Sets
  Dr J.B. Gramain, Dr W Turner
Applications accepted all year round

Funding Type

PhD Type

The representation theory of many families of finite groups can be presented in terms of combinatorial objects. The most famous example is the symmetric groups, where the irreducible complex representations are parametrized by partitions.
  Equivariant homotopy and fusion systems
  Dr A Libman, Prof R Levi
Applications accepted all year round

Funding Type

PhD Type

The p-local structure of a finite group G is given by the set of its p-subgroups and the information about how they are conjugated to each other.
  Identifying finite simple groups from their fusion systems
  Dr E Henke, Prof B Martin
Applications accepted all year round

Funding Type

PhD Type

Groups are fundamental algebraic structures closely related to describing and understanding symmetry. Every group is built up of building blocks which cannot be split up any further.
  Topological methods for image recognition
  Prof B Martin, Prof R Levi
Applications accepted all year round

Funding Type

PhD Type

The aim of this project is to develop mathematical algorithms for manipulating and classifying medical images.
  Tropical matrix algebra and representations
  Dr z Izhakian, Dr R Hepworth
Applications accepted all year round

Funding Type

PhD Type

Tropical matrices are matrices over the max-plus semiring - the real numbers equipped with the operations of maximum and summation.
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