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Fields of Research

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: Haiyan Cai, Yuefeng Wu, Adrian Clingher.

 

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

Computational Mathematics

Faculty in this group, including 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. Yuefeng Wu conducts research in Bayes data analysis, non-parametric method, and inference on dynamic system.

Research Faculty

Our mission as a research department is that our regular faculty members will maintain current and active research programs. They will try to obtain funding for their research and for training their graduate students. The research done by the faculty informs their teaching and allows them to bring up to date information about the field to their graduate and undergraduate students. In addition, their knowledge of cutting edge research and technology can be shared with local industry and other constituents in the community.

NAME TITLE DEGREE & UNIVERSITY RESEARCH INTERESTS
Cai, Haiyan Associate Professor Ph.D., University of Maryland Probability Theory, Markov processes, Interacting particle  systems
Clingher, Adrian Associate Professor Ph.D., Columbia University Algebraic Geometry, Geometrical Aspects of String Dualities
Girivaru, Ravindra Associate Professor Ph.D., University of Madras Algebraic Geometry
Jiang, Qingtang Professor Ph.D., Peking University Harmonic Analysis, Wavelets, Signal and Image Processing
Rao, Prabhakar Professor Ph.D., University of California-Berkeley Algebraic Geometry, Holomorphic Vector Bundles, Singularities
Wu, Yuefeng Assistant Professor Ph.D., North Carolina State University Bayes Data Analysis, Non-Parametric Method, Inference on Dynamic System, Monte Carlo Algorithms, GPU Computing

Publications

Our faculty frequently publish in scholarly publications and present their research at national and international conferences.

See Publications