A Word from the Chair

In 1899, Charles H. Duell as Commissioner of the U.S. Patent and Trademark Office penned the memorable quote, “everything that can be invented has been.” Of course, this was not the case! In mathematics, a new result often leads to the realization of additional uncharted terrains. Much of the work reported in this issue of the Exchange not only builds from recently-realized mathematical questions, but also brings to light additional questions.