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Research Group on Algebraic Geometry




From left to right: Martin Giese, Alex Zapletal, Josef Schicho, Tobias Beck, Niels Lubbes, Brian Moore, Janka Pilnikova, Jose Manuel Garcia Vallinas
(July 2006)

We develop mathematical theories, algorithms, and software for efficiently proving/disproving algebraic statements and solving algebraic constraints over the real numbers. The statements/conditions may contain inequalities and quantifiers. Many difficult problems in mathematics, scientific engineering and industrial computation can be reduced to that of solving algebraic constraints.