December 16 – 20 , 1991, Dagstuhl Seminar 9151

Algorithms of Computeralgebra


F. Schwarz, J. Davenport, B. Buchberger

For support, please contact

Dagstuhl Service Team


Dagstuhl-Seminar-Report 27


Computer algebra has been established as a new field on the borderline between mathematics and computer science for about 20 years now. It has been the goal of this seminar to get together researchers from various subfields in a well balanced mixture. There have been two talks on polynomial factorization (Kaltofen, von zur Gathen), two on number theory (Pethö, Zimmer), five on Gröbner base theory and elimination (Lazard, Möller, Pedersen and Sturmfels, Traverso, Weispfenning), three talks on differential equations (Bronstein, Singer, Schwarz), a talk on Lie algebras (Laßner), on group theory (Michler), on arithmetic (Schonhage), on asymptotic analysis (Gonnet), on algbraic geometry (Giusti and Heintz) and on polynomial zeros (Krandick).

There will be hardly any other field where researchers with such a wide range of interests and different backgrounds have joined to form a new community as it is true for computer algebra. This becomes obvious just by looking at the contents of this brochure. In this situation it is especially important to get together in an informal manner such that new relations between researchers from these various subfields hopefully will be established. With this goal in mind, Schloß Dagstuhl is the ideal place to go. Therefore it will be an important aim to repeat these seminars on a two year schedule.


In the series Dagstuhl Reports each Dagstuhl Seminar and Dagstuhl Perspectives Workshop is documented. The seminar organizers, in cooperation with the collector, prepare a report that includes contributions from the participants' talks together with a summary of the seminar.


Download overview leaflet (PDF).

Dagstuhl's Impact

Please inform us when a publication was published as a result from your seminar. These publications are listed in the category Dagstuhl's Impact and are presented on a special shelf on the ground floor of the library.


Furthermore, a comprehensive peer-reviewed collection of research papers can be published in the series Dagstuhl Follow-Ups.