Myles Workman

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20242026

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math.DG2026

Parabolic rectifiability of the Brakke flow

Yu Tong Liu, Myles Workman

We prove that the support of the canonical space-time measure for a Brakke flow is a parabolic $(k + 2)$ -rectifiable set. As a consequence, we obtain that at almost all points along…

math.DG2026

The space-time-Grassmann measure of the Brakke flow

Yu Tong Liu, Myles Workman

For a $k$ -dimensional Brakke flow on an open subset $U \subset R^{n}$ , over an open time interval $J$ , we prove the existence of a canonical space-time-Grassmann measure $…

math.DG2024

Upper Semicontinuity of Index Plus Nullity for Minimal and CMC Hypersurfaces

Myles Workman

We consider a sequence of bubble converging minimal hypersurfaces, or H-CMC hypersurfaces, in compact Riemannian manifolds without boundary, of dimension 4, 5, 6 or 7, and prove up…