It has been more than a decade since new elementary particles were discovered. To recognize the findings of scientists in this still fairly new but exciting and promising area of research, the Trieste Workshop was organised in May 1992 to discuss the status and explore the prospects for the discovery of new elementary particles using the full variety of search methods which are, or will be available to the physicist. All papers in this collection of proceedings are reviews written by experts in their own area of speciality. Many review papers based on experimental findings are also included. To present a clearer and more coherent overview, a theoretical overview talk as well as a summary talk have been included to serve as a link between the various areas that were discussed in the papers. This collection of papers is perhaps the first authoritative source ever published on the search for new elementary particles.

This volume contains intense studies on Quantum Groups, Knot Theory, Statistical Mechanics, Conformal Field Theory, Differential Geometry and Differential Equation Methods and so on. It has contributions by renowned experts and covers most of the recent developments in these fields.