29 citations · 62 across the 8 of their papers we have counts for
8 papers
The perfect conductivity problem with arbitrary vanishing orders and non-trivial topology
Morgan Sherman, Ben Weinkove
The perfect conductivity problem concerns optimal bounds for the magnitude of an electric field in the presence of almost touching perfect conductors. This reduces to obtaining gra…
The continuity equation, Hermitian metrics and elliptic bundles
Morgan Sherman, Ben Weinkove
We extend the continuity equation of La Nave-Tian to Hermitian metrics and establish its interval of maximal existence. The equation is closely related to the Chern-Ricci flow, and…
Local Calabi and curvature estimates for the Chern-Ricci flow
Morgan Sherman, Ben Weinkove
Assuming local uniform bounds on the metric for a solution of the Chern-Ricci flow, we establish local Calabi and curvature estimates using the maximum principle.
Interior derivative estimates for the Kähler-Ricci flow
Morgan Sherman, Ben Weinkove
We give a maximum principle proof of interior derivative estimates for the Kähler-Ricci flow, assuming local uniform bounds on the metric.
When is a trigonometric polynomial not a trigonometric polynomial?
Joseph E. Borzellino, Morgan Sherman
As an application of Bézout's theorem from algebraic geometry, we show that the standard notion of a trigonometric polynomial does not agree with a more naive, but reasonable notio…
A local version of Gotzmann's Persistence
Morgan Sherman
Gotzmann's Persistence states that the growth of an arbitrary ideal can be controlled by comparing it to the growth of the lexicographic ideal. This is used, for instance, in findi…