- 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 Quantum Mechanics
- Complex Yang-Mills theory

Copyright © Rongwei Yang 2015