Glen Wheeler

activity

20122026

most citedSurface diffusion flow near spheres

33 citations · 181 across the 33 of their papers we have counts for

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4 papers · 1 filter

math.DG2026

The Cartan-Hadamard isoperimetric inequality under controlled variation of curvature

Glen Wheeler

We prove the Cartan-Hadamard conjecture (the sharp Euclidean isoperimetric inequality) in every dimension, assuming that the sectional curvature is pinched relative to a reference…

math.AP2026

Rigidity and stability for the Bogovskii constant

Glen Wheeler

We prove that balls are the unique minimisers of the Bogovskii constant among bounded connected Lipschitz domains in $R^{n}$ , $n \geq 2$ , resolving Open Problem 2 of Gazzola,…

math.DG2026

Pinchoff by surface diffusion

Glen Wheeler

We construct surface diffusion flows $f : T^{2} \times [0, T) \to R^{3}$ that drive smooth closed embedded tori to pinchoff in finite time. The flow remains embedded for $t\…

math.AP2026

Concentration-compactness for the geometric polyharmonic heat flow

James McCoy, Scott Parkins, Glen Wheeler +1

We develop a concentration-compactness theory for geometric evolution equations of arbitrarily high order, using the geometric polyharmonic heat flow of closed immersed surfaces in…