Applied and Computational Math Research
Students have many opportunities to be involved in research, in collaborations with department faculty and in interdisciplinary teams with faculty and students from other departments. The primary research focus areas of our faculty are:
• numerical linear algebra and multilinear algebra
• non-parametric statistics, computational statistics, time series forecasting, massive data streams
• combinatorial matrix theory, graph theory, and modeling
• math biology, math ecology, applied math and Bayesian statistics
• Scientific Visualization, High Performance Computing (HPCC), and Problem Solving Environments
• finite geometry, non-associative algebras
• parameter estimation and decision theory, computationally intensive statistical methods, statistics pedagog
• Algorithms and software for multicore architectures, topology aware MPI communications and scalable checkpointing techniques.
• complex analysis, mathematics pedagogy
• mobile robotics path planning, localization and mapping, and computer vision; evolutionary algorithms, particle and swarm methods, and biologically motivated algorithms
• probabilistic artificial intelligence, statistical machine learning, neural networks, stochastic control theory, robotics, intelligent control, and computer vision
• data mining, pattern recognition, information security, bioinformatics, multimedia processing, networking, distributed systems
• Cybersickness (visually induced motion sickness from a virtual environment), 3D Systems, Virtual Reality, User Interfaces, and Analysis of Algorithms
• numerical linear algebra, mathematical modeling, and image processing, and program assessment
• topics in the intersection of mathematics,history, and astronomy including celestial mechanics
• Image processing, computer vision, artificial intelligence, pattern recognition, parallelism and concurrency, general-purpose computing on graphics processing units (GPGPU)