Dr Joao Faria Martins


Research interests

  • algebraic and geometric topology in dimensions 3 and 4;
  • algebraic models for homotopy types;
  • higher dimensional category theory;
  • homotopical algebra;
  • Hopf algebras and quantum (q-deformed) Lie groups;
  • differential geometry (higher Lie and gauge theory);
  • mathematical aspects of Chern-Simons theory, BF-theory and generalisations;
  • applications to condensed matter physics and quantum computing.


  • PhD University of Nottingham. 2004.

Research groups and institutes

  • Pure mathematics

Postgraduate research opportunities

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