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Mathematics (group theory) PhD Projects, Programs & Scholarships

We have 38 Mathematics (group theory) 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.
  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.
  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.
  Algebraic groups and Lie algebras
  Dr S Goodwin
Applications accepted all year round

Funding Type

PhD Type

The University of Birmingham is well-known for its research into group theory, Lie theory and representation theory. The School of Mathematics has a vibrant and productive postgraduate environment that promotes research at the highest level.
  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.
  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.
  Pattern Formation (Applied Nonlinear Dynamics)
  Prof A M Rucklidge
Applications accepted all year round

Funding Type

PhD Type

Regular patterns, such as stripes, squares and hexagons, are ubiquitous in nature, and their formation and stability are governed by the intricate and complex interactions of symmetry and nonlinearity.
  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.
  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.
  Holomorphic Representations of the Braid Group
  Dr G Lechner
Applications accepted all year round

Funding Type

PhD Type

The braid group can be intuitively understood as the collection of a finite number of strands with all possibilities of "braiding" them, and consecutive braiding as the group operation.
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