Geometric variational problems: regularity vs singularity formation

A determination of the blowup solutions to the focusing, quintic NLS with mass equal to the mass of the soliton

Moving boundary problems for evaporating fluids

Long time solutions for one dimensional dispersive flows

A priori interior estimates for Lagrangian mean curvature equations

Exponential time-decay for a one dimensional wave equation with coefficients of bounded variation

Complete Calabi-Yau metrics from smoothing Calabi-Yau complete intersections

Stability of spectral partitions with corners

On the spectrum of general-relativistic hydrogenic ions with an anomalous magnetic moment

Asymptotic simplification for solutions of nonlinear wave equations

Wave maps into the sphere

New channels of energy for wave equations, new non-radiative solutions and soliton resolution