Active areas of research in the mathematics program include nonlinear partial differential equations, potential theory, optimal control of systems with distributed parameters, inverse problems for PDEs, free boundary problems, mathematical modeling, neural networks, scientific computing and numerical analysis of nonlinear PDEs, mathematical biology, reaction-diffusion equations, variational methods for PDEs, critical point theory, mathematical physics, stochastic processes, queuing theory, dynamical systems, chaos theory, nonlocal PDEs, integral equations, and nonlinear wave equations.
Diverse research activities arise from student interest, are conducted in collaboration with student advisers and span the entire K-16 community. Research is guided by current research and related issues that emerge from within the mathematics education research community.
Funded by NOAA and EPA, and administered by the North American Association for Environmental Education, the NELA project is a multi-phase research project to help determine how environmental education practices support the development of environmental literacy among middle-school students around the U.S.
Active areas of research in the operations research area include stochastic games, stochastic networks, mathematical finance, stochastic programming, optimization and optimal control, inverse and ill-posed problems, regularization, bioinformatics, data mining, biostatistics, image processing, signal processing, modeling of controlled queuing systems, decision making under uncertainty, modeling of complex biological systems, engineering management, quality control, scheduling and timetabling algorithms, applied graph theory and integer programming.
Research activities in science education vary across all major science disciplines including aeronautics, biology, chemistry, computer science, environmental and earth science, physics and psychology. Students are encourage to pursue research topics commensurate with their science background and teaching experience and represent the application of science to the K-16 education community.