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Major Research Areas

Artificial Intelligence

Artificial intelligence (AI) is a broad field concerned with giving machines the ability to perform cognitive tasks traditionally attributed to humans. Today AI enjoys growing success in applications such as speech recognition, face recognition, cybersecurity, cloud computing, education, composing music and self-driving cars, fueled by new advances in machine learning such as deep learning. Although AI tools and learning resources have now become highly accessible to the general public, the future of many fields depends on current AI research and the correct application of AI algorithms. Moreover, many applications require higher accuracy than currently obtainable, scaling to massive datasets is in high demand, and new foundational problems continue to arise. Our current research includes using AI techniques of inference with machine and deep learning for (a) protein folding, (b) identifying genetic risks for complex diseases, (c) computer vision, (d) cybersecurity, (d) remote sensing, including satellite, aerial, and UAV for geospatial and intelligence operations, (e) management and security of multi-cloud systems, and (f) next-generation healthcare. The following faculty are involved in AI research: Badri Adhikari, Uday Chakraborty, Sharlee Climer, Lav Gupta, Mark Hauschild, Cezary Janikow, Sanjiv Bhatia.

Data Science

Research in data science in the Department of Mathematics & Computer Science focuses on the design, analysis, and application of computational algorithms for data-centric problems arising in diverse domains. For example, statistical, machine-learning, and linear programming approaches are developed and applied for prediction, classification, regression, and clustering. Linear and non-linear models and hybrid meta-heuristics are explored for data analytics. The following faculty are involved in data science-related research: Uday Chakraborty, Badri Adhikari, Sharlee Climer, Haiyan Cai, Yuefeng WuAdrian Clingher and Ankit Chaudhary

Cybersecurity and Networking Systems

The Cybersecurity and Networking Systems group at UMSL carries out research in diverse areas of cybersecurity and networking like the Internet, broadband and other networked systems, security of these networks and network applications, mobile and wireless networks and their security, mobile edge computing, network protocols and network security protocols, secure Internet of things, virtualized networks, cloud computing and management and security of  cloud networks. For carrying out collaborative and meaningful research, Cybersecurity and Networking Systems Lab (CNSL) works closely with academia and industry. It focuses on cutting-edge research for providing innovative solutions for future networking and cybersecurity services. The Lab especially focuses on socially relevant research for improving the welfare of the local and global community. The faculty of involved with the lab together have many years of diversified experience. The current faculty member associated with the lab are: Jianli Pan; Abde Mtibaa; Lav Gupta; Ankit Chaudhary.

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 ChakrabortyMark Hauschild, Cezary Janikow.

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 BhatiaWenjie HeQingtang JiangHenry 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.  Prabhakar Rao and Ravindra Girivaru do research on algebraic vector bundles, hypersurfaces and varieties in projective spaces.

Computational Mathematics

Faculty in this group, including 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.

Probability and Statistics

Research in Probability and Statistics in the Department of Mathematics and Computer Science is focused on theoretical as well as on the computational aspects of these disciplines. Haiyan Cai conducts research in Statistics and Probability with focus in the areas of statistical modeling, statistical computations, spatial statistics, Markov random fields, and their applications. Nevena Marić does research in Probability and Stochastic Processes including subjects as Interacting Particle Systems, Point Processes, and Perfect simulation techniques. Yuefeng Wu conducts research in Bayes data analysis, non-parametric method, and inference on dynamic system.

Biological Data

Advances in the biological sciences are accelerating at an unparalleled rate, producing massive amounts of data and providing unprecedented opportunities for major dvances in medical and environmental domains. Sophisticated computer science, statistical, and mathematical tools are indispensable for reasoning about these data and unveiling hidden truths that are unreachable using experimental and theoretical approaches alone. Computational biology, biostatistics, and bioinformatics are overlapping fields aimed at filling this demand. More broadly, the adaptation and fusion of combinatorial optimization, artificial intelligence, statistics and applied mathematics, imaging, evolutionary computation, machine learning, mathematical programming, and data mining techniques provide potential for the production of novel specialized solutions. The integration of mathematics and computer science in our department makes us well poised for the interdisciplinary demands and rapidly evolving challenges this field presents. Our current research includes (a) network modeling, mixed integer linear programming, statistics, and clustering applied to combinatorial genetics, gene co-expression, combinatorial proteomics, and haplotype inference problems arising in the research of Alzheimer disease, psoriasis, hypertensive heart failure, vitamin D metabolism, and human population genetics, and (b) protein structure modeling and protein contact prediction using techniques like simulated annealing algorithm, deep learning techniques, and convolutional-neural networks.  The following faculty are involved in biological data research: Badri Adhikari, Sharlee Climer