Welcome to my homepage! I am a postdoctoral research fellow in Materials Science and Engineering at Carnegie Mellon University.

My main interests have focused on the application of symmetry breaking, topological ordering field theory and quaternion division algebra in understanding the structure and transport properties of solid states beyond perfect crystals. I am further interested in generalizations of topological-order in Quantum Hall Effects beyond 2D systems of particles with complex U(1) symmetry to 4D and 8D systems of particles with SU(2) quaternion and SU(3) octonion symmetry.