Prof. Irena Peeva presents research for Craig Huneke’s Birthday that "reshapes the field of commutative algebra."

Results shared by Jason McCullough (Rider University) and Irena Peeva (Cornell University) are reshaping the field of commutative algebra: their counterexamples to the Eisenbud–Goto conjecture not only show that the conjectured bound does not hold but also that there is no bound on the regularity of irreducible varieties that is a polynomial function of the degree. Furthermore, McCullough and Peeva produced a beautiful and general machinery that is worthy of deeper study, and in fact they are working with collaborators on further papers.