The Defense Advanced Research Projects Agency (DARPA) is soliciting innovative exploratory research proposals under its Critical Orientation of Mathematics to Produce Advancements in Science and Security (COMPASS) initiative. This opportunity aims to develop novel mathematical frameworks that address complex national security challenges across multiple domains, including air, land, maritime, space, and cyberspace, with a focus on enhancing military decision-making and operational effectiveness. Successful proposals will contribute to bridging advanced mathematics with defense applications, potentially leading to funding amounts ranging from $100,000 to $300,000 for projects lasting 12 months. Interested researchers must submit their Abstracts by May 12, 2024, to COMPASS@darpa.mil, with submissions evaluated on a rolling basis based on their innovative contributions and a clear roadmap of the proposed research.