4 problems

Let $S$ be a numerical semigroup, let $R$ be its numerical semigroup algebra, and consider the infinite Apéry resolution of the residue field over $R$. Cellular structure conjectur…

Let $I$ be a monomial ideal with a minimal resolution supported on a regular CW-complex having the intersection property, meaning that the intersection of any two cells is also a c…

Let $A$ be the consistent toric algebra associated to a collection on a Gorenstein affine toric variety $X$ of dimension $n$. Let $\mathbb{T}^n$ be the quotient torus in which the…

Let an $n$-gon have a subdivision with $k$ additional edges and no additional vertices. A CM monomial labelling is a monomial labelling whose cellular complex gives a Cohen–Macaula…