Areas of expertise:
higher Lie and gauge theory; higher dimensional category theory; Hopf algebras; quantum invariants of knots and manifolds; topological quantum computing; modelling topological phases of matter.
algebraic and geometric topology in dimensions 3 and 4;
algebraic models for homotopy types;
higher dimensional category theory;
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.
<p>Any research projects I'm currently working on will be listed below. Our list of all <a href="https://eps.leeds.ac.uk/dir/research-projects">research projects</a> allows you to view and search the full list of projects in the faculty.</p>
<h4>Postgraduate research opportunities</h4>
<p>We welcome enquiries from motivated and qualified applicants from all around the world who are interested in PhD study. Our <a href="https://phd.leeds.ac.uk">research opportunities</a> allow you to search for projects and scholarships.</p>
<li><a href="//phd.leeds.ac.uk/project/596-algebraic,-geometric-and-physical-underpinnings-of-topological-quantum-computation">Algebraic, geometric and physical underpinnings of topological quantum computation</a></li>