Algebraic GeometryArithmetic problems. Diophantine geometryCharacteristic $p$ methods (Frobenius endomorphism) and reduction to characteristic $p$; tight closureCommutative algebraCongressesDifferential geometryFamilies, fibrationsFestschriftenFibrations, degenerationsGeneral commutative ring theoryGeometry, algebraicLinkage, complete intersections and determinantal idealsLocal differential geometryLocal theoryMethods of Riemannian geometryMilnor fibration; relations with knot theoryRational pointsSeveral complex variables and analytic spacesSingularitiesSpecial surfacesSurfaces and higher-dimensional varietiesTheory of modules and idealsVector bundles on surfaces and higher-dimensional varieties, and their moduli