Drawn from papers presented at conferences at Emory University, the Georgia Institute of Technology, the University of Tennessee from 2009 to 2011, these nine essays represent geometric topology and nonlinear partial differential equations. Topics include dark matter spiral galaxies and axioms of general relativity, embedded 3D CR manifolds and non-negativity of Paneitz operators, Aubry sets, Hamilton-Jacobi equations and Mané conjectures, minimum surfaces as eigenvalue problems, the maximal measure of sections of the n-cube, extremities of stability for pendant drops, the Radon-Helgason inversion method in integral geometry, inequalities for the ADM-mass, and capacity of asymptotically flat manifolds with minimal boundary and bounded extrinsic curvature of subsets of metric spaces. Annotation ©2014 Book News, Inc., Portland, OR (booknews.com)