The Defense Advanced Research Projects Agency (DARPA) Defense Sciences Office (DSO) is issuing a Disruption Opportunity (DO), inviting submissions of innovative basic or applied research concepts in the technical domain of mathematical methods to systematically discover useful mathematical transformations: transformations of a system’s variables and parameters to representations that make solving complex modeling problems easier, faster, and potentially more interpretable. This DO is issued under the Program Announcement for Disruptioneering, DARPA-PA-24-04. All awards will be made in the form of an Other Transaction (OT) for Prototype project. The total award value for the combined Phase 1 base (Feasibility Study) and Phase 2 option (Proof of Concept) is limited to $1,250,000. This total award value includes Government funding and performer cost share if required or proposed.