DSO’s mathematics program applies and develops new and existing mathematical tools that impact a broad continuum of DoD mission areas. The program is rooted in the tenet that DoD needs are best addressed by creating integrated teams of mathematicians and subject matter experts to address problems. This approach enables the rapid exploitation of new mathematical techniques to create new technologies as well as the translation of technological needs into challenge problems for the mathematics community to drive new research. Today’s applied mathematics and computational research programs help achieve up-to-the-minute, cutting-edge superiority, while basic mathematical research programs secure the foundation for advanced science and technology programs in the future.
Applied and Computational Mathematics
Objectives: DSO's programs in the mathematical sciences span key application areas across the entire DoD mission. Applications being addressed include signal and image processing, biology, materials, sensing, and design of complex systems.
Fundamental Mathematics
Objectives: DSO's fundamental mathematics focus area includes the development of new theoretical mathematics with high potential for future applications. Current program themes include topological and geometric methods, extracting knowledge from data, and new approaches for conducting focused research to explore fundamental interconnections between key areas of mathematics where critical insights should lead to both new mathematics and innovative applications.