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Research Interests: Mark Alber: Director of the Interdisciplinary Center for the Study of Biocomplexity Bei Hu: Partial Differential Equations (PDE) and their applications in Engineering, Industry, Biology, and Math Finance. Many physical processes can be modeled using PDEs. François Ledrappier: Global properties of deterministic and random dynamical systems. Relations between entropy, exponents and dimension. Joachim Rosenthal: Coding theory and cryptography. Collaborating with the coding group in the Department of Electrical Engineering at the University of Notre Dame. Andrew Sommese: Numerical Algebraic Geometry: a new area developing algorithms to numerically compute and manipulate the solution sets of systems of multivariate polynomials in order to solve problems in engineering and science. Zhiliang Xu: My main research interests are in computational fluid dynamics, numerical methods for PDEs and interface methods. Yongtao Zhang: My main research interests are computational and mathematical biology, and numerical methods for PDEs on structured and unstructured meshes.
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