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, attracting the attention of highly respected researchers from other disciplines. The organizers feel that the time has come for a thematic year at the IMA focused on the frontier topics of discrete mathematics and its applications as well as 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 other fields. Program workshops will span frontier topics of research in discrete mathematics (including combinatorics and optimization) and probability throughout the year.
One of the program’s specific goals will be to use this forum to make the state-of-the-art more accessible to a broader audience. Particularly through the planning of tutorial lectures, participation by graduate students of various mathematical backgrounds and postdoctoral researchers will be a priority. It would be of great benefit to gather leading researchers in these various sub-fields to facilitate an exchange of knowledge and also to identify new research directions so as to expand the horizons. We thus expect a thematic year of this nature to have a lasting impact on the future of the subject.
The IMA will select up to eight postdoctoral fellows to participate in the year-long program.