Academic Profile 
 Assoc Prof Andrew James Kricker Associate Professor Division of Mathematical Sciences School of Physical & Mathematical Sciences College of Science Email: AJKRICKER@NTU.EDU.SG Phone: (+65)65137458 Office: SPMSMAS0418 
Education 
 PhD University of Melbourne 1998
 BSc(Hons) University of Melbourne 1993
 BSc Monash University 1992

Biography 
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. 
Research Interests 
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 socalled "quantum topological invariants". These are invariants of knots, 3manifolds, and various other lowdimensional 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 lowdimensional manifolds, Lie algebras, Hopf algebras, representation theory, homological algebra, algebraic combinatorics, and so on. 
Current Projects 
 Higher Algebraic Structures Emerging in the Study of Topological Quantum Field Theories
 Investigating the Finite Approximation of L2Topological Invariants via Computational and Theoretical Approaches in the Setting of Arithmetic Hyperbolic 3Manifolds
 Topological, Algebraic and Combinatorial Ramifications of Topological Quantum Field Theories

Selected Publications 
 Andrew Kricker. (2011). Differential operators and the wheels power series. Algebraic and Geometric Topology, 11(2), 11071162.
 Andrew Kricker. (2011). Noncommutative ChernWeil Theory and the Combinatorics of Wheeling. Duke Mathematical Journal, 157(2), 223281.
 A. Kricker, D. Moskovich. (2009). Surgery presentations of coloured knots and of their covering links. Algebraic and Geometric Topology, 9(3), 13411398.
 S. Garoufalidis, A. Kricker. (2004). Finite type invariants of cyclic branched covers. Topology, 43, 12471283.
 S. Garoufalidis, A. Kricker. (2004). A rational noncommutative invariant of boundary links. Geometry and Topology, 8, 115204.

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