Withrow, Camron Michael2018-06-302018-06-302018-06-29vt_gsexam:16266http://hdl.handle.net/10919/83820We give a description of the moment graph for Bott-Samelson varieties in arbitrary Lie type. We use this, along with curve neighborhoods and explicit moduli space computations, to compute a presentation for the small quantum cohomology ring of a particular Bott-Samelson variety in Type A.ETDIn CopyrightBott-Samelson VarietyQuantum CohomologyMoment GraphDissertation