5 citations · 10 across the 8 of their papers we have counts for
9 papers
Local convexity estimates for mean curvature flow
Mat Langford
We develop a local version of Huisken-Stampacchia iteration, using it to obtain local versions of a host of important sharp curvature pinching estimates for mean curvature flow. Th…
Sharp pinching estimates for mean curvature flow in the sphere
Mat Langford, Huy The Nguyen
We prove a suite of asymptotically sharp quadratic curvature pinching estimates for mean curvature flow in the sphere which generalize Simons' rigidity theorem for minimal hypersur…
Quadratically pinched hypersurfaces of the sphere via mean curvature flow with surgery
Mat Langford, Huy The Nguyen
We study mean curvature flow in , the round sphere of sectional curvature , under the quadratic curvature pinching condition $|A|^{2} < \frac{1}{n-2} H^{2}…
Concavity of solutions to degenerate elliptic equations on the sphere
Mat Langford, Julian Scheuer
We prove the concavity of classical solutions to a wide class of degenerate elliptic differential equations on strictly convex domains of the unit sphere. The proof employs a suita…
Sharp one-sided curvature estimates for fully nonlinear curvature flows and applications to ancient solutions
Mat Langford, Stephen Lynch
We prove several sharp one-sided pinching estimates for immersed and embedded hypersurfaces evolving by various fully nonlinear, one-homogeneous curvature flows by the method of St…
Sharp one-sided curvature estimates for mean curvature flow and applications
Mat Langford
We prove a sharp pinching estimate for immersed mean convex solutions of mean curvature flow which unifies and improves all previously known pinching estimates, including the umbil…
Cylindrical estimates for hypersurfaces moving by convex curvature functions
Ben Andrews, Mat Langford
We prove a complete family of `cylindrical estimates' for solutions of a class of fully non-linear curvature flows, generalising the cylindrical estimate of Huisken-Sinestrari for…
Two-sided non-collapsing curvature flows
Ben Andrews, Mat Langford
It was recently proved that embedded solutions of Euclidean hypersurface flows with speeds given by concave (convex), degree one homogeneous functions of the Weingarten map are int…
Non-collapsing in fully nonlinear curvature flows
Ben Andrews, Mat Langford, James McCoy
We consider embedded hypersurfaces evolving by fully nonlinear flows in which the normal speed of motion is a homogeneous degree one, concave or convex function of the principal cu…