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.
- Current Mathematical Publications and AMS Journals: Access the last five years for: Bulletin, Proceedings, Transactions, Journal of the AMS, Research Announcements, Mathematics of Computation, Comformal Geometry and Dynamics, Representation Theory.
- JSTOR Archive: Access earlier volumes of 15 math and 18 statistics journals.
- Project Euclid: From here access a growing list of math and statistics journals. These include the Duke Journal.
- SIAM Journal on Applied Mathematics
- SIAM Journal on Control and Optimization
- SIAM Journal on Mathematical Analysis
- SIAM Journal on Numerical Analysis
- SIAM Journal on Optimization
- Theory of Probability and Its Applications
- Inventiones Mathematicae
- Annals of Math.
- Illinois Journal of Mathematics
- Indiana Univ. Math. J.
- Pacific Journal of Mathematics
- New York Journal of Mathematics
- Documenta Mathematica
- Journal of Online Mathematics: An MAA journal.
- The Quarterly Journal of Mathematics: Oxford Univ. Press.
- Aequationes Mathematicae
- The Electronic Journal of Combinatorics
- Seminaire Lotharingien de Combinatoire
- The Electronic Journal of Combinatorial Number Theory
- Journal of Integer Sequences
- Theory and Applications of Categories
- Journal of Lie Theory
- Beiträge zur Algebra und Geometrie
- Algebraic and Geometric Topology
- Geometry and Topology
- Electronic Transactions in Numerical Analysis
- Journal of Inequalities in Pure and Applied Mathematics
- Electronic Journal of Differential Equations
- The Quarterly Journal of Mechanics and Applied Mathematics: Oxford Univ. Press.
- Journal of Physics A
- Journal of Physics B
- Nonlinearity
- Mathematical Physics Electronic Journal