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Research Focus Algebra, Geometry and Computer Algebra

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Research Focus Algebra, Geometry and Computer Algebra

The Working Group Algebra, Geometry and Computer Algebra (AGAG) focusses on fundamental research in classical key areas of pure mathematics and on modern applications thereof. The main focus is on Algebraic Geometry, Representation Theory, Number Theory and, in the area of applications, on Cryptography. Within the research focus particular emphasis is put on algorithmic aspects of the aforementioned areas respectively algorithmic questions that result from the cross-linking of these areas with other topics within or beyond mathematics.

The research profile of the AGAG is characterized by many national and international collaborations, excellent scientific publications, and by well-established broad focusing.

The excellent international reputation of the AGAG has been emphasized by the ERC Advanced Grant that has been awarded to Prof. Dr. G. Malle in 2011.

DFG Priority Programme 1489

The federal coordinated priority programme "Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory" (SPP 1489) of the German Research Foundation (DFG) is coordinated by Prof. Dr. W. Decker. This and the substantial participation of the members of the AGAG by several projects in the SPP 1489 documents the close collaboration within the AGAG as well as outstanding strength of research focus on algorithmic aspects.

The Computer Algebra System SINGULAR

The Computer Algebra System SINGULAR developed in Kaiserslautern is the internationally leading Open Source System for polynomial computations in mathematical science and practical applications. Its world wide distribution is well-documented by hundreds of references in scientific publications in mathematics, but also in engineering and natural sciences and in medicine. Besides its relevance for national and international scientific collaborations, SINGULAR is also the basis for collaborations of the AGAG with other faculties of the university of Kaiserslautern and with the Fraunhofer ITWM (Department System Analysis, Prognosis and Control).