School of Mathematics

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Dr Joao Faria Martins

Pure Mathematics

Contact details

Room: 9.22
Tel: +44 (0)113 3434433
Email: J.FariaMartins @


Higher Lie and Gauge Theory
Hopf Algebras
Quantum Invariants
Topological Quantum Computing
Topological Phases of Matter.
Higher Categories.

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.

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