ne famous paper on group theory. This paper was first written based on the writings of Hilbert. Ruths most famousteachings were on number theory, knot theory, and the foundations of geometry. She alsois famous for what we call today, Moufang planes and Moufang loops. Moufang loopsare a class of loops which arise naturally in many other fields such as finite group theoryand algebraic geometry (OConner & Robertson, 1996).Sun-Yung Alice ChangMarch 24, 1948-presentSun-Yung was born in Ci-an, China. During research, no information was foundon the time period when she was born. What was found though is an abundance ofinformation on her college life and what her contributions to mathematics were. Sun_Yung Chang received her doctorate in mathematics from University ofCalifornia. She then went to teach college math at UCLA. Currently, she still teaches atUCLA, but since she started many things have happened to her. Her greatest accomplishment is when she received the Ruth Lyttle Satter prize forher contributions to mathematics over the last five years. She was awarded the prize forher contributions to partial differential equations and on Riemannian manifolds. Thestudy of manifolds having a complete Reimannian Metric is called Reimannian geometry(Weinsstein, 1996-2000). This is a topic that Sun-Yung studied a lot. Sun-Yang says, inher speech at the American Mathematical Society, Following the early work of J Moserand influenced by the work of T Aubin and R Schoen on the Yamabe problem, P. Yangand I have solved the partial differential equation of Gaussian/scalar curvatures on thesphere by studying the extremal functions for certain variation functionals. We have alsoapplied this approach in conformal geometry to the isospectral compactness problem on3-manifolds when the metrics are restricted in any given conformal class. More recentlywe have been studying the extremal metrics for these functionals. We are working toderive further g...
