RESEARCH INTERESTS

  • Multi-Variable Operator Theory
    • Hardy Space Over the Bidisk
    • Commuting isometric pairs
    • Projective joint spectrum
  • Algebraic geometry
    • Characteristic polynomial for several matrices
    • Algebraic manifolds
  • Geometry
    • Hermitian metric on resolvent set
    • Kernel bundle for tuples of compact operators
  • Group theory and Lie algebras
    • Representations and Characteristic polynomials
    • Classification of solvable Lie algebras
    • Self-similar groups and complex dynamics
  • Topology
    • Hyperplane arrangements
    • Chern-Weil homomorphism
    • Cyclic cohomology
  • Math Physics
    • Foundations of relativity theory
    • Complex Yang-Mills theory