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group theory PhD Projects, Programs & Scholarships

We have 96 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.
  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): understanding the formation and stability of complex patterns such as quasipatterns, spatio-temporal chaos or turbulent spirals
  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.
  Antimatter Chemistry: reactive scattering collisions of antihydrogen atoms with hydrogen molecules
  Dr M Law, Dr W T A Harrison
Applications accepted all year round

Funding Type

PhD Type

Recently interest in antimatter research has increased as facilities such as CERN have succeeded in trapping antimatter atoms to study their properties [1].
  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.
  Quantum Field Theory and Operator Algebras
  Dr G Lechner
Applications accepted all year round

Funding Type

PhD Type

The research area of this project is an operator-algebraic approach to Quantum Field Theory. Background. Quantum Field Theory (QFT) is the theoretical framework in which the physics of elementary particles can be formalised in a mathematical language.
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