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  • Find a PhD Supervisor

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Find a PhD Supervisor

Dr David Barnes

School of Mathematics and Physics
Dr David Barnes

Dr David Barnes

School of Mathematics and Physics

Dr Barnes studies algebraic topology, specifically stable homotopy theory, usually with an equivariant or monoidal flavour. The method of algebraic topology is to assign algebraic objects (such as vector spaces) to topological shapes in a homotopy invariant manner. When these shapes are chosen to have some group of symmetries, the vector spaces assigned to them become representations of the symmetry group. Thus his interests include stable homotopy theory, homotopy functor calculus, homotopical algebra, model categories and equivariant homotopy theory.

Contact info

  • View Academic Profile
  • d.barnes@qub.ac.uk
  • +44 (0)28 9097 3076

Research Interests

Open to PhD applications in the field of

  • Algebraic topology
  • Homotopy functor calculus
  • Homotopical algebra
  • Equivariant homotopy theory
  • Stable Homotopy theory
  • Model categories and Bousfield localisations

Make a PhD enquiry


Current Research Opportunities

  • Sheaf models for equivariant stable homotopy theory

Research students

PhD Title Rational G-equivariantcohomology theories for profinite G
Name Danny Sugrue
Year of Study  2015 - 2018
   
PhD Title  Optimization of motion control in rotational moulding
Name Jonathan Adams
Year of Study  2016 - 2019
   
PhD Title  Unitary Homotopy Calculus
Name Niall Taggart 
Year of Study 2017 - 2020

 


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  • Faculty of Engineering and Physical Sciences

  • School of Mathematics and Physics


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