B. Firester

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math.DG2026

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 $S^{n}$ and one-phase free boundaries joined by a smooth interpolation by capil…

math.DG2026

New minimal surfaces in the sphere from capillary minimal cones

Benjy Firester, Raphael Tsiamis

For every $p, q \geq 1$ , we construct minimal embeddings of $S^{p} \times S^{q} \times S^{1}$ in $S^{p + q + 2}$ by doubling the links of free-boundary…

math.DG2026

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…

math.DG2025

Uniqueness of Cylindrical Tangent Cones $C_{p, q} \times R$

Benjy Firester, Raphael Tsiamis, Yipeng Wang

We show the uniqueness of the cylindrical tangent cone $C (S^{2} \times S^{4}) \times R$ for area-minimizing hypersurfaces in $R^{9}$ , completing the u…

math.DG2024

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 $V_{0}$ that is a Calabi-Yau cone, extending the work of SzÃ…

Topology of minimal surfaces in the sphere from capillarity

New minimal surfaces in the sphere from capillary minimal cones

Area-minimizing capillary cones

Uniqueness of Cylindrical Tangent Cones Cp,q​×R

Complete Calabi-Yau metrics from smoothing Calabi-Yau complete intersections

Uniqueness of Cylindrical Tangent Cones $C_{p, q} \times R$