Ailana Fraser

Sharp eigenvalue bounds and minimal surfaces in the ball

We prove existence and regularity of metrics on a surface with boundary which maximize

The fundamental group of manifolds of positive isotropic curvature and surface groups

\sigma _1 L

On stable minimal disks in manifolds with nonnegative isotropic curvature

σ1L where

The first Steklov eigenvalue, conformal geometry, and minimal surfaces

\sigma _1

On the free boundary variational problem for minimal disks

σ1 is the first nonzero Steklov eigenvalue and