Study of algebraic and topological properties of spaces of holomorphic mappings and polynomials in infinite dimension. Extension of important results of linear functional analysis to the context of polynomials. Study of the geometry of Banach spaces in connection with the study of the spectrum and the boundaries of algebras of holomorphic functions.

- Topological modules and linearly topologized modules;
- Operator theory with emphasis to the dynamics of linear operators;
- Operator theory emphasizing applications of non-commutative geometry to specific particle physics models.

**Researchers:**

- Nilson Bernardes,
- Antonio Roberto da Silva,
- Luiza Amalia de Moraes
- Dinamérico Pombo Jr.