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. Website: People: Analysis & Differential Geometry Differential geometry, applied analysis, partial differential equations, complex analysis, geometric function theory, spectral theory, and mathematical physics. Website: People: Data and Information Management; Informatics Data security, information retrieval, statistical analysis, and data integration in the context of medical, public health, and biological data managment. Computational biology and bioinformatics (comparative genomics), computational infrastructure for scientific analysis. Digital Preservation, automatic web harvesting. Website: People: Eugene Agichtein, Vicki Hertzberg (Rollins School of Public Health, Emory), James Lu, Joan Smith, James Taylor, 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. Website: People: Aaron Abrams, Dwight Duffus, Ron Gould, Michelangelo Grigni, Paul Horn, 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. Website: People: 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. Website: People: Michele Benzi, Paola Boito, Bastiaan Braams, Matthias Conrad, Eldad Haber, James Nagy, Maxim Olshanskii, Zdenek Strakos (Academy of Sciences of the Czech Republic), Vaidy Sunderam, Alessandro Veneziani Topology Geometric Topology, Hyperbolic Geometry, Geometric Group Theory. Website: People:
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