# School of Mathematics

## Dr Joao Faria Martins

Lecturer

Pure Mathematics

### Contact details

Room: 9.22

Tel: +44 (0)113 3434433

Email: J.FariaMartins @ leeds.ac.uk

### Keywords

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.

### Useful links

I have a personal web page

http://www.ams.org/mathscinet/search/author.html?mrauthid=763465

Orcid

Scholar

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