Research areas and reports

The members of the Center for Mathematical Analysis, Geometry, and Dynamical Systems actively collaborate with other Portuguese and foreign researchers. Research activity is documented in the annual Research Reports.

Highlights of the scientific activity of the center during the latest FCT evaluation period can also be found in the CAMGSD 2018–2023 Booklet.

Here is a brief list of areas of current (2024) research:

- harmonic analysis
- functional analysis
- operator algebras
- qualitative theory of dynamical systems
- geometric mechanics and Hamiltonian systems
- nonlinear analysis
- ergodic theory
- stochastic analysis
- partial differential equations
- calculus of variations
- algebraic geometry
- algebraic topology
- category theory
- differential topology
- differential geometry
- symplectic geometry
- discrete geometry
- general relativity
- quantum field theory
- string theory
- statistical mechanics