Cut polytopes in commutative algebra

The study of cuts in graphs is an interesting topic in discrete mathematics with relations and applications to many other fields, such as algebraic geometry, combinatorial optimization or algebraic statistics. Here we focus on so-called cut polytopes and associated algebraic objects. We present some new results and open questions especially on algebraic properties of cut algebras and cut ideals.

The talk is based on joint work with Sara Saeedi Madani.