Quantum field theory
His past research activities have explored: topological Quantum Field Theories in any dimension, BF theories, Cohomology of imbedded loops, Higher dimensional knots; Links, knots and quantum groups; Differential geometrical aspects of string and field theories, Virasoro and Krichever-Novikov algebras; Anomalies in Quantum field theory and their differential geometrical interpretation; and Foundational aspects of Quantum Mechanics. His past and present teaching activities include: Mathematical Methods of Physics: complex analysis and functional analysis; Differential Geometry in Mathematical Physics: differentiable manifolds, Lie groups, principal bundles and their connections, Dirac operators; and Calculus.