Research
The Mathematical Sciences department has several research areas that are internationally recognized, with current support coming from the National Science Foundation, the National Institutes of Health, the National Security Agency, as well as several corporations. Below is an outline of the main research areas, with links to webpages of associated faculty.
Algebra/Discrete Mathematics
- Algebra: Christopher, Martin, Servatius
- Coding Theory and Cryptography: Martin, Servatius, J. Wu
- Combinatorial Geometry: Servatius
- Graph Theory and Combinatorics: Christopher, Martin, Servatius, J. Wu
Applied Analysis/Differential Equations
- Analysis on Fractals: Mosco
- Calculus of Variations: Larsen, Lurie, Mosco, Sarkis, Vernescu
- Free and Moving Boundary Problems: Dai, Fehribach, Larsen, Tang, Tilley, Vernescu
- Mathematical Physics: Humi
- Partial Differential Equations: Dai, Davis, Farr, Fehribach, Humi, Larsen, Lui, Lurie, Mosco, Tilley, Vernescu, Volkov
- Stochastic Analysis: Blais, Heinricher, Sayit, Vermes
Biomathematics
Financial Mathematics
- Blais, Heinricher, Sayit, Vermes, Xie
Mathematics of Materials Science
- Composite Materials/Homogenization: Larsen, Lurie, Mosco, Sarkis, Tilley, Vernescu, Weekes
- Dynamic Materials (materials with properties that change in space and time): Lurie, Weekes
- Fracture and Damage: Larsen
- Mathematical Geophysics: Humi, Volkov
- Porous Electrodes (fuel cells, batteries): Fehribach
Numerical Analysis/Computational Modeling
- Adaptive Grid Generation in Higher Dimensions: Sulman
- Computational Modeling: Fehribach, Humi, Sarkis, Sulman, Tang, Tilley, Volkov, Weekes, Yakovlev
- Image Registration: Sulman
- Large Scale and Parallel Computing: Sarkis, Walker
- Numerical Analysis: Sarkis, Sulman, Walker, Weekes
Optimization
- Applied Optimization/Operations Research: Davis, Martin, Heinricher
- Computational Methods of Optimization: Sarkis, Sulman, Walker, Yakovlev
- Optimal Control and Design: Lurie, Heinricher, Vermes
- Stochastic Optimization and Control: Heinricher, Vermes
Statistics
- Bayesian Statistics: Nandram
- Biostatistics and Bioinformatics: Z. Wu
- Statistical Decision Theory and High-dimensional Data Analysis: Z. Wu
- Statistical Genetics: Z. Wu
- Survey Methodology: Nandram
- Time Series: Petruccelli
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Last modified: November 19, 2009 08:39:30