Luigi Grasselli
Research Activity
Author of more than 60 scientific publications, concerning topics of Algebraic Topology, Geometric and Combinatorial Topology, Knot Theory, Graph Theory.
In particular:
- study of n-dimensional pl-manifolds represented by edge-colored graphs;
- applications of the representation theory by edge-colored graphs to the Random Tensor Models Theory, as an approach to Quantum Gravity;
- study of the relationships between the representation by edge-colored graphs and other known theories for representing pl- manifolds (Heegaard diagrams, colored knots, Seifert fibrations, RR-systems, branched coverings);
- research of standard spines for tridimensional manifolds;
- structure of the fundamental groups of tridimensional manifoldsi;
- applications of the tessellation theory in engineering contexts;
- relationships between art and geometry.
The international conference " Geometric Topology, Art, and Science " (Modena, 08 June 2023 - Reggio Emilia, 09-10 June 2023) has been held on the occasion of his 70th birthday.
The slides of the Opening Remarks of the above conference are available here.