On the long-time behavior of scale-invariant solutions to the 2d Euler equation.

Exploring notions of curvature for families of curves

Stability of solitary waves of the NLS equation

Counting closed geodesics and improving Weyl's law for predominant sets of metrics 

Mean field limits for classical dynamics with M-body forces

Quantitative unique continuation for L^2-restrictions of eigenfunction sequences

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