Vahap Erdogdu University of Sydney Coprime packedness and set-theoretic complete intersections of ideals in polynomial rings Friday 7th November, 12:05-12:55pm, Carslaw 173. Let K be a field and P a height two prime ideal of the polynomial ring K[X,Y,Z]. A well-known conjecture states that P is a set-theoretic complete intersection. Motivated by this, in this talk I will consider rings R over which the polynomial ring R[X] has the property that each proper prime ideal of it is a set-theoretic complete intersection. To do so I will first define and examine rings which are coprimely packed, a notion closely related to that of set-theoretic complete intersection.