Research themes | Networks | Thesis | Books/Editing |

The group

**SINGACOM**is working on several research areas within Algebraic Geometry, Singularities, Commutative Algebra, Combinatorics, Coding, Computation and Optimization. We have specialized researchers on the several areas. The research themes include the following:

- Global Geometry of curves and of meromorphic vector fields.
- Affine and Projective Algebraic Geometry. Toric Geometry.
- Discrete Mathematics. Graphs.
- Applied Algebra and Algebraic Geometry.
- Resolution of singularities, procedures and algorithms.
- Local Algebra. Graduations. Valuations.
- Integral closure of ideals. Valuation spaces.
- Linear systems with assigned base conditions. Aplications to interpolation.
- Poincaré Series. Integration. Aplications to singularity theory.
- Arc spaces. Motivic Integration. Aplications.
- Classification of singularities and equisingularity.
- Non commutative Geometry. Homological aspects.
- Algebraic-geometric codes. Coding and decoding.
- Algebraic and arithmetic combinatorics. Combinatoric geometry. Optimization.
- Symbolic computation in algebraic geometry and singularities.
- Logic and computation. Algorithms complexity.