The current generation of genome assembly programs uses distance and orientation relationships of paired end reads of clones (mate pairs) to order and orient contigs. Mate pair data can also be used to evaluate and compare assemblies after the fact. Earlier work employed a simple heuristic to detect assembly problems by scanning across an assembly to locate peak concentrations of unsatisfied mate pairs. TAMPA is a novel, computational geometry-based approach to detecting assembly breakpoints by exploiting constraints that mate pairs impose on each other. The method can be used to improve assemblies and determine which of two assemblies is correct in the case of sequence disagreement. Results from several human genome assemblies are presented.