Some Results on Point-Plane Incidences in R^3

In this expository thesis, the focus will be on bounds for point-plane incidences. We begin by stating and proving two results about point-line incidences in R^2. We then prove two results about point-plane incidences in R^3, one of which uses reformulations of the two results on point-line incidences. We also examine constructions for each point-plane result in R3, which show that the proven bounds are sharp.