5 papers
A fully nonlinear parabolic segregation problem
Emily Casey, Cornelia Mihaila, María Soria-Carro +1
We study a two-phase parabolic free boundary problem arising as the segregation limit of a competition-diffusion system with strong interactions and fully nonlinear diffusion. The…
Quantitative Carleson's conjecture for Ahlfors regular domains
Emily Casey, Xavier Tolsa, Michele Villa
In this article, we prove a quantitative version of Carleson's conjecture in higher dimension: we characterise those Ahlfors-David regular domains in $\mathbb{R}^{n…
Quantitative control on the Carleson -function determines regularity
Emily Casey
Carleson's -conjecture states that for Jordan domains in , points on the boundary where tangents exist can be characterized in terms of the behavior of…
Rectifiability and tangents in a rough Riemannian setting
Emily Casey, Max Goering, Tatiana Toro +1
Characterizing rectifiability of Radon measures in Euclidean space has led to fundamental contributions to geometric measure theory. Conditions involving existence of principal val…
Computing Homology Invariants of Legendrian Knots
Emily E. Casey, Michael B. Henry
The Chekanov-Eliashberg differential graded algebra of a Legendrian knot L is a rich source of Legendrian knot invariants, as is the theory of generating families. The set P(L) of…