Mathematics of Communications: Sequences, Codes and Designs (15w5139)

Arriving in Banff, Alberta Sunday, January 25 and departing Friday January 30, 2015

Organizers

(University of Wisconsin-Madison)

(Simon Fraser University)

Dieter Jungnickel (Universität Augsburg)

(Michigan Technological University)

Objectives

The objectives of this workshop are:

1) To bring together representatives of the applied and theoretical communities that study the mathematics of communications, especially involving sequences, codes, and designs, in order to promote new linkages and collaborations. Although these researchers share many interests, it is extremely rare for a large group of experts from both communities to devote an extended period to forming a deep understanding of each other’s approaches, problems, and successes. In order to take advantage of this opportunity, the organizers will invite several expository lectures which will be accessible to all participants and which will emphasize methods, approaches, and open questions.

2) To highlight recent advances in the mathematics of communications (many of which were achieved by the proposed participants), and to identify techniques that could be applied in other contexts. Participants will be encouraged to bridge the apparent gap between discrete mathematics over the binary field, and signal processing problems involving discrete mathematics over Euclidean space.

3) To increase the pool of early career researchers who appreciate the power of mathematics and the important role that it plays in communications engineering, and to help them understand the different cultures associated with mathematics and engineering.

4) To identify new research directions in the mathematics of communications, especially involving interplay between theory and application. The organizers will schedule a forward-looking discussion that will specifically address the identification of new research directions.

The mathematics of communications is a subject that has been enriched numerous times over the last sixty years by means of synergy between practical application and theoretical development. This workshop will provide a forum deliberately dedicated to exploring and encouraging further such mutual enrichment.

The organizers are greatly encouraged by the reactions to the proposed workshop. Within a week of sending out email soliciting interest to the 31 male and 7 female researchers listed below, every one of these potential participants (among them 6 graduate students and 5 postdoctoral fellows) had expressed strong enthusiasm in working to bridge the gap between applied and theoretical aspects of the mathematics of communications.