Person to Person in Costa Rica

While still in the midst of their study abroad experiences, students at Linfield College write reflective essays. Their essays address issues of cultural similarity and difference, compare lifestyles, mores, norms, and habits between their host countries and home, and examine changes in perceptions about their host countries and the United States. In this essay, Celeste Knopf describes her observations during her study abroad program at Centro Cultural e Histórico José Figueres Ferrer, in San Ramón, Costa Rica

Universality in mean curvature flow neckpinches

We study noncompact surfaces evolving by mean curvature flow. Without any symmetry assumptions, we prove that any solution that is $C^3$-close at some time to a standard neck will develop a neckpinch singularity in finite time, will become asymptotically rotationally symmetric in a space-time neighborhood of its singular set, and will have a unique tangent flow.Comment: More references added, typos correcte