Includes bibliographical references.

Vertex operator algebras and the representation theory of toroidal algebras ; Symmetric functions and representations of quantum affine algebras ; Two realizations of toroidal mathfrak sl_2(\Bbb C) ; Vertex Lie algebras, vertex Poisson algebras and vertex algebras ; Type A fusion rules from elementary group theory ; Lie algebra automorphisms in conformal field theory ; On LepowskyWilson's scr Z lgebra ; Scattering rules in soliton cellular automata associated with crystal bases ; Algebra versus analysis in statistical mechanics and quantum field theory ; Weak modules and logarithmic intertwining operators for vertex operator algebras ; Conjugate Bailey pairs: from configuration sums and fractionallevel string functions to Bailey's lemma ; Irreducibility of affine Hecke algebra modules induced from Specht modules ; Algebraic structures behind Hilbert schemes and wreath products ; Some generalizations of genus zero twodimensional conformal field theory Stephen Berman Yuly Billig and Jacek Szmigielski ; Vyjayanthi Chari and Michael Kleber ; Ben L Cox ; Chongying Dong Haisheng Li and Geoffrey Mason ; Alex J Feingold and Michael D Weiner ; Jurgen Fuchs and Christoph Schweigert ; Yuji Hara Michio Jimbo Hitoshi Konno Satoru Odake and Jun'ichi Shiraishi ; G Hatayama A Kuniba M Okado T Takagi and Y Yamada ; Barry M McCoy ; Antun Milas ; Anne Schilling and S Ole Warnaar ; Monica Vazirani ; Weiqiang Wang ; Wenhua Zhao