Evolutionary Computation

Research in evolutionary computation at our department focuses on the design, analysis, and applications of the genetic and evolutionary algorithms that can solve difficult problems in a robust and scalable manner. The following faculty are involved in evolutionary computation research: Uday Chakraborty, Cezary Janikow, Martin Pelikan.

The department also houses the Missouri Estimation of Distribution Algorithms Laboratory lead by Martin Pelikan, which focuses mainly on estimation of distribution algorithms, machine learning, and learning classifier systems.

Computer Graphics and Image Manipulations

Research in computer graphics and image manipulations in the Department of Mathematics and Computer Science focuses on mathematical modeling and analysis, as well as algorithm and software development for various problems in both image-based and object-based computer graphics. Our research directions include mathematics of imaging, surface subdivision schemes, non-photorealistic rendering, image-based rendering, terrain modeling, meshleess wavelet compression, point-based graphics, image database indexing, storage, and retrieval. The following faculty are involved in the graphics-related research: Sanjiv Bhatia, Charles Chui, Wenjie He, Qingtang Jiang, Henry Kang.

Algebra, Geometry and Topology

Faculty in this group focus on algebraic geometry, group theory, topology and string theory. Adrian Clingher does research on string theory, moduli spaces, K3 surfaces and Calabi-Yau manifolds. Ronald Dotzel does research on transformation groups and invariants of topological spaces. Richard Friedlander does research in finite group theory, specifically number theoretic problems arising in finite groups. Prabhakar Rao does research on algebraic vector bundles, hypersurfaces and varieties in projective spaces.

Computational Mathematics

Faculty in this group, including Charles Chui, Wenjie He, and Qingtang Jiang are active researchers in Computational Harmonic Analysis, Computer-aided Geometric Design, and Approximation Theory, with emphasis on the theory and methods of Multivariate Splines and Wavelets. They are also members of the Institute of Computational Harmonic Analysis which is an integrated unit of the department.

Mathematics Education

Richard Friedlander does research in this group. His interests lie in working with teachers at the precollegiate level, with a focus on helping them attain a deep and profound understanding of the mathematics that they teach.