Discrete Mathematics has been flourishing in the last couple of decades and many of its subareas (particularly, Combinatorics) have become central areas in the mathematics community. Recent developments have occurred as a result of cross-pollination of discrete mathematics with other sub-fields of mathematics and other disciplines. The IMA annual program will focus on the frontiers topics of Discrete Mathematics with applications and expanding into the overlapping areas of Probability and Analysis. In the latter, special attempts will be made to consider discrete aspects of various classical and modern subtopics. Some of the most striking recent advances in these fields have been made by a confluence of ideas and techniques from the other fields.