GEOMETRY, ALGEBRA AND THEIR APPLICATIONS

ACTIVITY DESCRIPTION

The research group deals with various topics in algebra and geometry ranging from algebraic, (hyper)complex and differential geometry to commutative, homological and combinatorial algebra, alongside methods for studying graph and image reconstruction problems and more specific methods of algebraic and enumerative combinatorics or of a properly computational algebraic nature. The unification of methods and the unified vision of the various themes characterize the participation of the various members of the group in different types of projects and work, and are an essential feature in the development of the research themes.

Current research mainly focuses in the areas of

• Algebraic geometry
• Commutative and combinatorial algebra
• Algebraic, complex and hypercomplex analysis
• Differential geometry and geometric analysis
• Geometric and combinatorial theory of groups and semigroups
• Algebraic theory of automata and formal languages
• Study of graphs using algebraic and combinatorial techniques
• Geometric and discrete tomography
• Homological algebra and representation theory

Satellite site: https://www.geometry-algebra.polimi.it

COMPONENTS OF THE GROUP