Research Interest

My Research is focused on quantization of extended objects called s-branoids, which has deep relations with deformation theory of higher dimensional algebra. This also naturally leads to quantum field theoretic definitions of universal differential-topological invariants of lower dimensions. The eventual goal is understand the underlying structure in quantum field theory such as the conjectual action of motivic Galois group etc.

I am also working on manifestly covariant quantization of spacetime supersymmetric 2-braneoids
and the related proposal for M-theory.  The problem, mathematically, is essentially quantizations
of 3-dimensional algebra associated with 11-dimensional spacetime superspace.

My Past Research may be summarized by two papers written during my days in  Old and New  Amsterdams.
 

Teaching

Math 205 Fall 2001, Spring 2002