The group applies expertise in mathematical subdisciplines such as combinatorics, graph theory, network science, operations research, optimization, discrete nonlinear dynamics, computational geometry, quantum mechanics, and information theory. Researchers apply their knowledge and skills in areas such as the fundamental models of physics, chemistry, biology, and information systems, complex systems analysis, pattern recognition, and quantum computing and communications. In collaboration with NIST and outside scientists, the group develops, analyzes, and applies related mathematical methods and tools for critical problems of measurement science at NIST, and develops mathematical foundations for the measurement science of information systems.