The geometry and conformal structure of properly embedded minimal surfaces of finite topology in IR3.
The Geometry of Periodic Minimal Surfaces.
The global structure of constant mean curvature surfaces.
The isoperimetric inequality for a minimal surface with radially connected boundary
The maximum principle at infinity for minimal surfaces in flat three manifolds.
The mean curvature of the second fundamental form of a hypersurface.
The Moduli Space of Complete Embedded Constant Mean Cuvature Surfaces.
The nonexistence of a weak solution of Dirichlet's problem for the functional of minimal surface on nonconvex domains
The Novikov-Veselov hierarchy of equations and integrable deformations of minimal Lagrangian tori in .
The PDE describing constant mean curvature surfaces
We give an expository account of a Weierstrass type representation of the non-zero constant mean curvature surfaces in space and discuss the meaning of the representation from the point of view of partial differential equations.
The Plateau problem for the prescribed mean curvature equation
The regularity of the trace for minimal surfaces
The second variation of area of minimal surfaces in four-manifolds.
The space of minimal embeddings of a surface into a three-dimensional manifold of positive Ricci curvature.
The strong halfspace theorem for minimal surfaces.
The Structure of Minimizing Hypersurfaces Mod 4.
The structure of single-periodic minimal surfaces.
The topology of large -surfaces bounded by a convex curve
The triply periodic minimal surfaces of Alan Schoen and their constant mean curvature companions.
The uniqueness for minimal surfaces in S3.