Thesiss

Extrusion is a very popular manufacturing technique, especially as it can produce a large variety of complicated shapes with no requirement for downstream machining or finishing. Aluminum extrusion finds extensive application in the construction, automobile and aerospace industr…

Given a simplicial complex, it is easy to construct a generic deformation of its Stanley-Reisner ideal. The main question under investigation in this dissertation is to characterize the simplicial complexes such that their Stanley-Reisner ideals have generic Cohen-Macaulay defor…