## Justin Chen

Let (R,m) be a Noetherian local ring. In 1978, J. Sally posed the following question: if there is a uniform bound on the number of generators of prime ideals in R, is then dim R at most 2? It remains open to this day, and in 2007, Y. Shimoda asked an even stronger question: if every prime ideal in R except the maximal ideal is a complete intersection, is dim R at most 2? Although this is still unknown in general, I will talk about a paper of Goto, O'Carroll, and Planas-Vilanova, in which they obtain some partial positive results to Shimoda's question, by considering ideals of Herzog-Northcott type.