The {\em geobucket/} data structure is suitable as an intermediate representation of polynomials for performing large numbers of polynomial additions and lead term extractions. A sum involving {$N$} terms has worst-case running time {$O(N\log{N})$} both online and offline, matching or surpassing the obvious/standard alternatives. This makes the geobucket a good choice for performing the reduction step of \grobner\ basis computations.