Research Areas

Algebra
Cohomology and the Brauer group, Galois cohomology, semisimple algebraic groups and their representations, quadratic forms, algebraic groups, real algebraic geometry, polynomials, symbolic computation, ordered fields, algebraic theory of quadratic forms.
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Analysis & Differential Geometry
Differential geometry, applied analysis, partial differential equations, complex analysis, geometric function theory, spectral theory, and mathematical physics.
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Data and Information Management
Data security, information retrieval, statistical analysis, and data integration in the context of medical, public health, and biological data managment. Research projects and course offerings span multiple departments, and intersect with other research groups in Biology, the School of Medicine, the Winship Cancer Institute, and the Rollins School of Public Health.
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Eugene Agichtein, F. DuBois Bowman (Rollins School of Public Health, Emory), Shun Yan Cheung, Michelangelo Grigni, Vicki Hertzberg (Rollins School of Public Health, Emory), James Lu, Li Xiong
Discrete Mathematics & Theoretical Computer Science
Ordered combinatorial and algebraic structures, theory of computation, circuit complexity, geometric algorithms, approximation algorithms, graph theory, hypergraphs, ramsey theory, combinatorics, extremal graph theory, approximation algorithms, combinatorial optimization, polyhedral combinatorics, mathematical programming, combinatorial scientific computing.
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Aaron Abrams, Dwight Duffus, Ron Gould, Michelangelo Grigni, Michal Karonski (Adam Mickiewicz University), Yoshi Kohayakawa (Universidade de São Paulo), Tomasz Luczak (Adam Mickiewicz University), Ojas Parekh, Vojtech Rodl, Robert Roth, Andrzej Rucinski (Adam Mickiewicz University)
Distributed Computing Laboratory
Metacomputing, distributed systems, collaboration technologies, and networking. Current projects are focusing on self-organizing frameworks for cooperative resource-sharing and collaboration group communication in the context of peer-to-peer networks.
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Numerical Analysis & Scientific Computing
Numerical Linear Algebra, Numerical Optimization, Numerical Partial Differential Equations, Numerical Methods for Inverse Problems, Image Processing, Geophysics, Computational Fluid Dynamics, Numerical Methods for Markov Chains, Parallel and Distributed Computing.
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Topology
Geometric Topology, Hyperbolic Geometry, Geometric Group Theory.
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