RESEARCH INTERESTS

• Functional Analysis
  • Multivariable operator theory
  • Analytic function spaces
  • Spectral theory
• Algebraic Geometry
  • Characteristic polynomial for several matrices
  • Determinantal representation
  • Hyperplane arrangements
• Geometry
  • Hermitian metric on the resolvent set
  • Kahler manifolds
• Group Theory and Lie Algebras
  • Representation theory
  • Classification of solvable Lie algebras
  • Self-similar groups and complex dynamics
  • Braid groups
• Topology
  • Chern-Weil homomorphism
  • Chern-Simon forms
• Math Physics
  • Quantum entanglement
  • Maxwell's equations and Yang-Mills theory