NAME: Barry M. McCoy ADDRESS: Institute for Theoretical Physics State Univ. of New York Stony Brook, NY 11794 EMAIL ADDRESS: mccoy@insti.physics.sunysb.ecu TITLE OF TALK: Rogers Ramanujan identities in statistical mechanics and conformal field theory ABSTRACT OF TALK: The fundamantal role which Rogers-Ramanujan identities play in both statistical mechanics and conformal field theory will be presented. The subject is currently in a rapid state of developement and the present status and outstanding problems will be discussed including the role of algebra versus analysis in physics. ===========================================================