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The size of the singular set of area-minimizing currents. Surv. Differ. Geom.. 21:1-83.
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Regularity of area-minimizing currents III: blow-up. Annals of Mathematics. Second Series. 183:577–617.
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Ill-posedness for bounded admissible solutions of the 2-dimensional p–system..
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An Allard-type boundary regularity theorem for $2d$ minimizing currents at smooth curves with arbitrary multiplicity.
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The Nash-Kuiper Theorem and the Onsager conjecture. ICCM Not.. 8(1):17-26.
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A direct approach to Plateau's problem. Journal of the European Mathematical Society. 19:2219–2240.
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Regularity theory for 2-dimensional almost minimal currents III: blowup. J. Differential Geom.. 116(1):125-185.
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Regularity of area-minimizing currents II: center manifold. Annals of Mathematics. Second Series. 183:499–575.
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Uniqueness of boundary tangent cones for $2$-dimensional area-minimizing currents.
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