Performs research and maintains expertise in the theory, methodology,
and application of discrete mathematics for application to the NIST
measurement science program; in particular, maintains and 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, for application in such areas as the study of
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, develops, analyzes, and applies related mathematical methods
and tools for critical problems of measurement science at NIST; develops
mathematical foundations for the measurement science of information systems.