Summer of Math Exposition

Does light have shape? It does and the shape of light lets us feel rotation even if we cannot see the rotation. In this video, i start with describing that property of shape of light that tracks rotation, and visualize how shapes of light from a far away star can tell us if it is rotating or not. This far away star is a special source that emits in certain windows which have a period of 16.34 days. Naturally, we would like to know if this period is due to its rotation. Watch the video to find out. Although we have some data, it is not conclusive beyond doubt to realize rotation. This is how science is. It will take more time to be sure and we are working on it. Stay tuned to find out more. This video explains how polarization of light, namely, the Polarization Position Angle can track the rotational motion. It further builds on the idea and tries to understand the periodic active window behavior of repeating Fast Radio Burst 20180916B by studying the Polarization Position Angle variations. This video is an informal description of the results of the following paper https://arxiv.org/abs/2507.07651 :Constraining the origin of the long term periodicity of FRB 20180916B with Polarization Position Angle. Links: https://en.wikipedia.org/wiki/FRB_180... https://en.wikipedia.org/wiki/Effelsb... Galaxy image from Tendulkar et al. (2021). Created using manim and Davinci Resolve.