In this talk I will discuss background behind Angle Resolved PhotoEmission Spectroscopy (ARPES), including details on modern spin detection. I will also give a quick summary of Topological Insulators, and why they are materials of high interest in the condensed matter community. Next, I will briiefly discuss some of our groups recent developments as it applies to furthering ARPES technology through automation and computational processing. Finally, I will discuss our work on measuring the spin-orbital texture of topological insulators using ARPES. This work leads to a possible future experiment of measuring and extracting electron wavefunction phases in solids.