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2023. .
2023.
The fine structure of the singular set of area-minimizing integral currents III: Frequency 1 flat singular points and H^{m-2}-a.e uniqueness of tangent cones.
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2023. 
The fine structure of the singular set of area-minimizing integral currents II: rectifiability of flat singular points with singularity degree larger than $1$.
main.pdf (646.89 KB)
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2023. .
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2023. 
Fine structure of the singular set of area minimizing hypersurfaces modulo $p$.
Even-p-Structure.pdf (547.96 KB)
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2022. 
The regularity theory for the area functional (in geometric measure theory). International Congress of Mathematicians.
ICM-De-Lellis-web-version-2.pdf (510.11 KB)
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2022. 
An Allard-type boundary regularity theorem for $2d$ minimizing currents at smooth curves with arbitrary multiplicity.
convex-boundary-1.pdf (972.75 KB)
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2021. 
Area minimizing hypersurfaces modulo $p$: a geometric free-boundary problem.
Modp_odd_moduli.pdf (867.85 KB)
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2021. 
Instability and nonuniqueness for the 2d Euler equations in vorticity form, after M. Vishik.
Euler-book-preprint-version-2023-03-28.pdf (945.41 KB)
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2021. 
Positive solutions of transport equations and classical nonuniqueness of characteristic curves. Arch. Ration. Mech. Anal. . 240(2):1055-1090.
nonunique-flow-20.pdf (398.69 KB)
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Almgren's center manifold in a simple setting. Harmonic Analysis and Applications. IAS/Park City Mathematics Series. 27
PCMILectures_DeLellis_15.pdf (327.98 KB)
Errata_PCMI.pdf (26.04 KB)
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2020. 

$C^{1,\alpha}$ isometric embeddings of polar caps. Adv. Math. 363
Isometric_Embeddings_of_Polar_Caps_2.pdf (400.92 KB)
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2020. 
The generalized Caffarelli-Kohn-Nirenberg Theorem for the hyperdissipative Navier-Stokes system. Comm. Pure Appl. Math.. 73(3):609-663.
HNS_26.pdf (459.49 KB)
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2020. 
The Nash-Kuiper Theorem and the Onsager conjecture. ICCM Not.. 8(1):17-26.
Bejing-5.pdf (353.58 KB)
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2020. 
Regularity of area minimizing currents mod $p$. Geom. Funct. Anal.. 30((5)):1224-1336.
DLHMS_nonlinear_2.pdf (978.39 KB)
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2020. 
Regularity theory for 2-dimensional almost minimal currents III: blowup. J. Differential Geom.. 116(1):125-185.
BU_21.pdf (539.11 KB)
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2020. 
A direct approach to the anisotropic Plateau problem. Adv. Calc. Var.. 12(2):211-223.
DeLDeRGhi_15apr17.pdf (316.98 KB)
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2019. 
Lossless analog compression. IEEE Trans. Inform. Theory. 65(11):7480-7513.
Lossless_compression_2.pdf (1.04 MB)
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2019. 
The masterpieces of John Forbes Nash Jr.. The Abel Prize 2013-2017.
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2019. 
Min-max embedded geodesic lines on asymptotically conical surfaces. J. Differential Geom.. 112(3):411-445.
Geodesic_lines.pdf (600.18 KB)
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2019. 