Dupin submanifolds in lie sphere geometry -- The mean curvatures on the tubular hypersurfaces in a space of constant curvature -- Deformation of surfaces preserving principal curvatures -- Lectures on immersion theory -- Surface maps and braid equations, I -- Affine maximal surfaces and harmonic functions -- Codimension 1 and 2 immersions of lens spaces -- On third order nondegenerate immersions and maps of S 1 in R 2 -- Complete surfaces in H 3 with a constant principal curvature -- Exceptional simple lie groups and related topics in recent differential geometry -- A remark on the isoparametric polynomials of degree 6 -- On the holomorphic maps from riemann surfaces to grassmannians -- Stability of totally real minimal submanifolds -- Dirichlet problems and the Laplacian in affine hypersurface theory -- A class of symmetric functions and Chern classes of projective varieties -- Essential invariant circles of surface automorphisms of finite order -- Jones polynomial and the crossing number of links -- On complete minimal surfaces with parallel and flat ends -- Regularity of harmonic maps into certain homogeneous spaces -- On infinitesimal deformations of surfaces in E 3 -- Local expressions of classical geometric elliptic operators -- Volume of geodesic balls -- On complete minimal immersion ?: RP 2 ? {a, b} ? R 3 with total curvature ?10? -- Local atiyah-singer index theorem for families of dirac operators.