Geometric Analysis Introductory Articles

1. Mathematical general relativity: a sampler A survey paper on basic definitions and problems in general relativity.
2. Mathematicians Disprove Conjecture Made to Save Black Holes A news article on the recent progress of strong cosmic censorship for black holes.
3. Geometric Analysis: Past, Present, Future A Facebook page hosted by Hojoo Lee on Geometric Analysis (interesting articles, events and conferences).
4. Perspective on geometric analysis S. T. Yau's 2006 survey paper. On page 2, we find his Basic Philosophy: Functions, tensors and subvarieties governed by natural differential equations provide deep insight into geometric structures. Information about these objects will give a way to construct a geometric structure. They also provide important information for physics, algebraic geometry and topology. Conversely it is vital to learn ideas from these fields.
5. The mathematical analysis of black holes
   in general relativity Mihalis Dafermos's article in the Proceedings of ICM 2014.