
doi: 10.2172/171332
Since 1993, the GANG laboratory has been co-directed by David Hoffman, Rob Kusner and Peter Norman. A great deal of mathematical research has been carried out here by them and by GANG faculty members Franz Pedit and Nate Whitaker. Also new communication tools, such as the GANG Webserver have been developed. GANG has trained and supported nearly a dozen graduate students, and at least half as many undergrads in REU projects.The GANG Seminar continues to thrive, making Amherst a site for short and long term visitors to come to work with the GANG. Some of the highlights of recent or ongoing research at GANG include: CMC surfaces, minimal surfaces, fluid dynamics, harmonic maps, isometric immersions, knot energies, foam structures, high dimensional soap film singularities, elastic curves and surfaces, self-similar curvature evolution, integrable systems and theta functions, fully nonlinear geometric PDE, geometric chemistry and biology. This report is divided into the following sections: (1) geometric variational problems; (2) soliton geometry; (3) embedded minimal surfaces; (4) numerical fluid dynamics and mathematical modeling; (5) GANG graphics and mathematical software; (6) description of the computational and visual analysis facility; and (7) research by undergraduates and GANG graduate seminar.
Numerical Solution, Progress Report, Computer Codes, Computers, Mathematical Models, Geometry, Partial Differential Equations, Fluid Mechanics, Variational Methods, Mathematical Space, Topology, 99 Mathematics, Management, Miscellaneous, Uses, 510, Research Programs, Nonlinear Problems, Computer Graphics, Law, Information Science, Mathematics
Numerical Solution, Progress Report, Computer Codes, Computers, Mathematical Models, Geometry, Partial Differential Equations, Fluid Mechanics, Variational Methods, Mathematical Space, Topology, 99 Mathematics, Management, Miscellaneous, Uses, 510, Research Programs, Nonlinear Problems, Computer Graphics, Law, Information Science, Mathematics
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