Why are we here?

In the past few years a number of very significant advances have taken place in several different branches of computational algebra and number theory. Because of the growing interdependence between the different branches, an algorithmic advance in one area often has a major impact on the performance of algorithms in other areas. The compartmentalized nature of many of the more `pure mathematical' areas of computational algebra, means that the significance of a development in one area may not be readily appreciated in other areas. Consequently, there is an urgent need to bring together workers from some of the key areas.

Further, both the development and application of computational techniques would greatly benefit through having key users interact with algorithm and software designers. This would simultaneously help inform the mathematical community of the new tools becoming available and also identify areas of computational algebra where further developments are most likely to bring maximum benefit.

It is proposed to address these issues in a conference on Computational Algebra to be hosted by Marquette University on May 12-16, 1996. The conference is intended to

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