2 citations · 2 across the 12 of their papers we have counts for
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The anisotropic Michael-Simon inequality
Benjy Firester, Raphael Tsiamis
We prove a Michael-Simon inequality for varifolds of every dimension and codimension with respect to anisotropic energies. In particular, this resolves the problem for every convex…
The anisotropic Michael-Simon inequality for surfaces in every codimension
Benjy Firester, Raphael Tsiamis
We prove a Michael-Simon inequality for -varifolds in , in arbitrary codimension, for anisotropies sufficiently close to the area functional. Building on the ideas…
On Chern's conjecture for minimal submanifolds of the sphere
Benjy Firester, Raphael Tsiamis
A well-known conjecture of Chern, do Carmo, and Kobayashi asserts that, for , the scalar curvature of a closed, minimally immersed -submanifold of …
Topology of minimal surfaces in the sphere from capillarity
Benjy Firester, Raphael Tsiamis
We present a general construction of embedded minimal and constant mean curvature surfaces in and one-phase free boundaries joined by a smooth interpolation by capil…
New minimal surfaces in the sphere from capillary minimal cones
Benjy Firester, Raphael Tsiamis
For every , we construct minimal embeddings of in by doubling the links of free-boundary…
Area-minimizing capillary cones
Benjy Firester, Raphael Tsiamis, Yipeng Wang
We construct non-flat minimal capillary cones with bi-orthogonal symmetry groups for any dimension and contact angle. These cones interpolate between rescalings of a singular solut…
Uniqueness of Cylindrical Tangent Cones
Benjy Firester, Raphael Tsiamis, Yipeng Wang
We show the uniqueness of the cylindrical tangent cone for area-minimizing hypersurfaces in , completing the u…
Complete Calabi-Yau metrics from smoothing Calabi-Yau complete intersections
Benjy J. Firester
We construct complete Calabi-Yau metrics on non-compact manifolds that are smoothings of an initial complete intersection that is a Calabi-Yau cone, extending the work of Szé…