My mathematical interests lie in geometric analysis and differential geometry. Specifically, my research is concerned with the analysis of singularities of energy minimizing maps and geometric flows. In geometric analysis, the question of the uniqueness of tangent maps is notoriously opaque, and is the subject of much modern research. My thesis consists of two parts, the first of which focuses on the analysis of harmonic maps following the pioneering work of Leon Simon[1]. Here, I explicate the theory of singularities and tangent maps of energy minimizers on Riemannian manifolds.