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Geometric Analysis and Application

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Hessian Estimates for the Lagrangian mean curvature equation

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Tangent Flows of Kähler Metric Flows

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Gravitational instantons, rational surfaces, and K3 surfaces

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Metric SYZ conjecture

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Minimal hypersurfaces in a generic 8-dimensional closed manifold

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L^p-stability and positive scalar curvature rigidity of Ricci-flat ALE manifolds

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Geometric measure theory on non smooth spaces with lower Ricci curvature bounds

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Min-max minimal hypersurfaces with higher multiplicity

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The Waist Inequality and Positive Scalar Curvature

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Topological rigidity of the first Betti number

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