Arrangements of hyperplanes are mathematical objects that can be approached by many different point of view such as algebro-geometric, combinatorial and topological ones. Moreover they are related to Artin Groups and the algebra connected with them.
I’m mainly interested in the cohomology of the complement of hyperplane arrangements with local coefficients which is related to the cohomology of the Milnor Fiber of the arrangement. I’m also interested in toric arrangements, i.e. arrangements of hypersurfaces in a complex torus. Recently I also started research in social choice, economics and organizational studies. In particular, jointly with some economists, we modeled and studied problems related to these disciplines using arrangements of hyperplanes.
- A stability-like theorem for cohomology of Pure Braid Groups of the series A, B and D , Topology Appl., 139 (2004), no.1-3, 37-47.
- Combinatorial Morse theory and minimality of hyperplane arrangements , (with M. Salvetti ) Geometry & Topology, 11 (2007), 1733-1766.
- Social Choice among Complex Objects , (with L. Marengo) Ann. Scuola Norm. Sup. Pisa Cl. Sci. (2012) doi: 10.2422/2036-2145.201202_004.