526 citations · 1.2k across the 69 of their papers we have counts for
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A Nash-Kuiper theorem for immersions of surfaces in dimensions
Camillo De Lellis, Dominik Inauen, László Székelyhidi
We prove that, given a Riemannian metric on the -dimensional disk , any short immersion of into can be uniformly approximated with $…
Regularity theory for -dimensional almost minimal currents III: blowup
Camillo De Lellis, Emanuele Spadaro, Luca Spolaor
We analyze the asymptotic behavior of a -dimensional integral current which is almost minimizing in a suitable sense at a singular point. Our analysis is the second half of an a…
Uniqueness of tangent cones for -dimensional almost minimizing currents
Camillo De Lellis, Emanuele Spadaro, Luca Spolaor
We consider -dimensional integer rectifiable currents which are almost area minimizing and show that their tangent cones are everywhere unique. Our argument unifies a few unique…
Regularity theory for -dimensional almost minimal currents II: branched center manifold
Camillo De Lellis, Emanuele Spadaro, Luca Spolaor
We construct a branched center manifold in a neighborhood of a singular point of a -dimensional integral current which is almost minimizing in a suitable sense. Our construction…
Regularity theory for -dimensional almost minimal currents I: Lipschitz approximation
Camillo De Lellis, Emanuele Spadaro, Luca Spolaor
We construct Lipschitz -valued functions which approximate carefully integral currents when their cylindrical excess is small and they are almost minimizing in a suitable sense.…
The size of the singular set of area-minimizing currents
Camillo De Lellis
This a survey on a series of recent papers in collaboration with Emanuele Spadaro on the regularity of area-minimizing currents in codimension higher than .