Oscar Zariski 1899-1986 -- Resolution of Singularities 1860-1999 -- 1: Classes of the Working Week -- Alterations and resolution of singularities -- Reduction of singularities for differential equations -- Puiseux solutions of singular differential equations -- A course on constructive desingularization and equivariance -- 2: Contributions -- A computer program for the resolution of singularities -- Uniformisation et désingularisation des surfaces d'après Zariski -- Tonie varieties and toric resolution -- A compactification of a fine moduli space of curves -- Applications of de Jong's theorem on alterations -- Resolving singularities of plane analytic branches with one toric morphism -- Excellent surfaces and their taut resolution -- An application of alterations to Dieudonné modules -- Valuation theoretic and model theoretic aspects of local uniformization -- Les singularités Sandwich -- Equisingularity and simultaneous resolution of singularities -- Resolution of weighted homogeneous surface singularities -- Alterations and birational anabelian geometry -- The turbulent fifties in resolution of singularities -- Valuations.