Random matrix theory has found usage in a wide variety of problems in mathematics and physics. The purpose of this meeting is to bring together a diverse group of mathematicians and physicists working in some of the many areas that connect with random matrix theory. The program will consist of a school with introductory lectures on random matrix theory in both mathematics and physics at a level accessible to graduate students and postdocs. It will be followed by a conference that will consist of a broader range of topics to highlight the latest research developments.