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.

Research projects

Any research projects I'm currently working on will be listed below. Our list of all research projects allows you to view and search the full list of projects in the faculty.


  • PhD University of Nottingham

Research groups and institutes

  • Pure Mathematics

Current postgraduate research students

Postgraduate research opportunities

We welcome enquiries from motivated and qualified applicants from all around the world who are interested in PhD study. Our <a href="//physicalsciences.leeds.ac.uk/research-opportunities">research opportunities</a> allow you to search for projects and scholarships.