1. Disclaimer There is often a scale issue between mathematics and application sciences. An application scientist often needs an answer to practical problems now while issues that mathematics can address successfully make take decades to resolve. As far as mathematics issues, we may want to keep an eye out for problems that live on a scale past immediate deployment and use – problems that will arise over the next decade

2.  MMake use of the geometric and topological properties of networks  DDesign and optimization of networks, e.g. communication protocols, node placement  AApply pattern recognition, data visualization, data smoothing techniques  AApply multiscale analysis techniques

3.  HHierarchical structure in sensor networks: what objectives need centralized station? What objectives can be decentralized? Math tools?  AAlgorithm analysis and design: theoretical guarantees on performance, robustness, adaptiveness, quality-of-service