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Topology Geometry

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Topology Geometry

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Research Frontiers in Geometric Measure Theory and Minimal Surfaces

Studies rectifiability, varifolds, and regularity theory of minimal surfaces and Plateau''s problem using measure-theoretic methods.

Singular Structures in Rectifiable Sets and Dimension
Varifold Regularity Beyond Classical Minimal Surface Theory
Curvature Measures on Fractional-Dimensional Boundaries
Minimal Surfaces with Prescribed Topological Constraints
Hausdorff Content and Geometric Regularity Thresholds
Free Boundary Problems in Geometric Measure Theory
Anisotropic Energies and Non-Euclidean Minimal Geometries
Soap Films and Self-Intersecting Surface Singularities
Lipschitz Images of Metric Spaces Under Dimension Reduction
Stationary Varifolds in Riemannian Manifolds

All Topology & Geometry PhD categories