Academic Profile : Faculty

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Assoc Prof Andrew James Kricker
Associate Professor, School of Physical & Mathematical Sciences - Division of Mathematical Sciences
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Prof. Kricker obtained his Ph.D. in Mathematics from the University of Melbourne in 1998. Since then he has served Postdoctoral Fellowships at the Tokyo Institute of Technology, the Hebrew University of Jerusalem, and the University of Toronto, before joining NTU's School of Physical and Mathematical Sciences for its inaugural semester in 2005.
Prof. Kricker's most significant research interest lies in the mathematical ramifications of current developments in mathematical and theoretical physics. To be precise, he is interested in the ramifications of certain developments in quantum field theory and quantum gravity in the fields of topology, algebra, and combinatorics. Prof. Kricker's particular speciality is in so-called "quantum topological invariants". These are invariants of knots, 3-manifolds, and various other low-dimensional topological structures, that arise from Topological Quantum Field Theories. More generally, he has a considerable general interest in the fields that surround this topic: knot theory, the theory of low-dimensional manifolds, Lie algebras, Hopf algebras, representation theory, homological algebra, algebraic combinatorics, and so on.
  • Applying recent discoveries in the skein theory of surfaces to build 3-dimensional Topological Quantum Field Theories.