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