Includes bibliographical references.

Minuscule representations, invariant polynomials, and spectral covers ; FourierMukai partners of a 3 surface of Picard number one ; Moduli spaces associated to a singular variety and the moduli of bundles over universal curves ; Convolution on homology groups of moduli spaces of sheaves on 3 surfaces ; Curves in the Hilbert schemes of points on surfaces ; Limiting linear subspaces on nonreduced schemes ; Geometry of canonical covers of varieties of minimal degree with applications to CalabiYau threefolds ; Universal rings arising in geometry and group theory ; HyperKahler manifolds and birational transformations in dimension 4 ; Standard vector bundle deformations on Bbb P^n ; The ^1 fixed points in Quotschemes and mirror principle computations ; The semiinfinity of Floer (co)homologies ; Automorphism sheaves, spectral covers, and the Kostant and Steinberg sections Robert Friedman and John W Morgan ; Shinobu Hosono Bong H Lian Keiji Oguiso and ShingTung Yau ; Jun Li ; Hiraku Nakajima ; WeiPing Li Zhenbo Qin and Qi Zhang ; Xian Wu ; Bangere P Purnaprajna ; Weiqiang Wang ; Dan Burns Yi Hu and Tie Luo ; N Mohan Kumar Chris Peterson and A Prabhakar Rao ; Bong H Lian ChienHao Liu Kefeng Liu and ShingTung Yau ; Weiping Li ; Robert Friedman and John W Morgan