- Research Group on Algebraic Topology
- Research Group on Functional Analysis
- Research Group on Partial Differential Equations
- Research Group on Noncommutative Geometry
- Research Group on Nonlinear Problems and its Applications
- Research Group on Numerical Methods for PDEs and Related Analysis Topics
- Research Group on Real and Harmonic Analysis: Wavelets and Fractal Geometry
- Research Group on Robust Statistics
- Research Group on Probability Theory
- El Proyecto TERA (Turbo Evaluation Rapid Algorithms)