- Michele TORIELLI
- Faculty of Science, Department of Mathematics
- Hokudai Type ／ 2015
My main area of research is the study of the combinatorics and topology of hyperplane arrangements, and its applications. My main interest in studying arrangements of hyperplanes is to understand which topological invariants of a given arrangement are determined by the combinatoric of the arrangement itself.In particular, I am in interested in the combinatorial invariants of the Milnor fiber and its (co)homology, and of the arrangement complement and its cohomology with local systems. Furthermore, I am interested in the application of this theory, for example to social choice theory, robotics, graphics, databeses, cyber security and economics.