Arrangements of hyperplanes and Evolutionary Economics
Department of Mathematics, Mathematics
Arrangements of hyperplanes and related topics; application of arrangements to model Social choice, Management and Economics problems
|Field||Combinatorics, Applied Mathematics to Economics|
|Keyword||homotopy groups, hyperplane arrangements, reflection groups, social choice, toric arrangements|
Introduction of Research
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 combinatorics of hyperplane arrangements and in the study of the cohomology of the Milnor Fiber of the arrangement. I'm also interested in application of geometric models to 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.