Owen Drummond

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math.AP2024

The Top Dimensional Singular Set $sing_{*} u$

Owen Drummond

In this survey, we examine the properties of the top dimensional singular set $sing_{*} (u)$ , including several theorems, geometric properties, and relation to homogeneous de…

math.AP2024

Geometric Analysis of Energy Minimizing Maps: Tangent Maps and Singularities

Owen Drummond

Energy minimizing maps (E.M.M.s) play a central role in the calculus of variations, partial differential equations (PDEs), and geometric analysis. These maps are often embedded int…

The Top Dimensional Singular Set sing∗​u

Geometric Analysis of Energy Minimizing Maps: Tangent Maps and Singularities

The Top Dimensional Singular Set $sing_{*} u$