Table of Contents

Complex geometry and supergeometry; E.D. Hoker & D.H. Phong; String topology: background and present state; D. Sullivan; The stability of matter and quantum electrodynamics; E.H. Lieb; Holographic algorithm; J.-Y. Cai; The fundamental lemma: what is it and what do we know?; S. DeBacker; The additivity conjecture in quantum information theory; P.W. Shor; Modularity of 2-dimensional Galois representations; M. Kisin.