Camillo De Lellis

Institute for Advanced Study — United States

Mathematics · Physical Sciences

38h-index5.3kcitations228works0.72yr avg
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Research Topics

Geometric Analysis and Curvature Flows(99), Nonlinear Partial Differential Equations(83), Navier-Stokes equation solutions(65), Advanced Mathematical Modeling in Engineering(52), Numerical methods in inverse problems(30)

Publications228 total

Besicovitch’s \frac{1}2 problem and linear programming
Transactions of the American Mathematical Society·2026
Remarks and conjectures on stationary varifolds dedicated to Enrico Bombieri
Rendiconti Lincei Matematica e Applicazioni·2026Open Access
The fine structure of the singular set of area-minimizing integral currents II: Rectifiability of flat singular points with singularity degree larger than $1$
Commentarii Mathematici Helvetici·2025Open Access
Some rigorous remarks on Migdal's momentum loop equation
arXiv (Cornell University)·2025Open Access
The Regularity Theory for the Mumford–Shah Functional on the Plane
EMS monographs in mathematics·2025Open Access
Caffarelli’s work on elliptic free boundary problems
Bulletin of the American Mathematical Society·2025Open Access
Optimal smooth approximation of integral cycles
arXiv (Cornell University)·2024Open Access
Caffarelli's work on elliptic free boundary problems
arXiv (Cornell University)·2024Open Access
Excess decay for minimizing hypercurrents mod <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si13.svg" display="inline" id="d1e96"><mml:mrow><mml:mn>2</mml:mn><mml:mi>Q</mml:mi></mml:mrow></mml:math>
Nonlinear Analysis·2024· 1 citedOpen Access
The geometry of <i>C</i><sup>1,<i>α</i></sup> flat isometric immersions
Proceedings of the Royal Society of Edinburgh Section A Mathematics·2024· 3 citedOpen Access
Besicovitch's 1/2 problem and linear programming
arXiv (Cornell University)·2024Open Access
Fine Structure of Singularities in Area-Minimizing Currents Mod$(q)$
arXiv (Cornell University)·2024· 1 citedOpen Access
An Allard-type boundary regularity theorem for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mn>2</mml:mn> <mml:mi>d</mml:mi> </mml:mrow> </mml:math> minimizing currents at smooth curves with arbitrary multiplicity
Publications mathématiques de l IHÉS·2024· 3 citedOpen Access
Instability and Non-uniqueness for the 2D Euler Equations, after M. Vishik
Princeton University Press eBooks·2024· 4 cited
Preface
Princeton University Press eBooks·2024
Frontmatter
Princeton University Press eBooks·2024Open Access
From moving masses to bending spaces: an excursion in metric geometry
2024
The regularity theory for the area functional (in geometric measure theory)
EMS Press eBooks·2023· 2 citedOpen Access
On the Boundary Behavior of Mass-Minimizing Integral Currents
Memoirs of the American Mathematical Society·2023· 10 citedOpen Access
A Remark on the Uniqueness of Solutions to Hyperbolic Conservation Laws
Archive for Rational Mechanics and Analysis·2023· 6 cited
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Frequent Co-authors

László Székelyhidi(11), Emanuele Spadaro(7), Luigi Ambrosio(5), Félix Otto(4), Michael Westdickenberg(4), Tristan Buckmaster(3), Sergio Conti(3), Maria Colombo(3), Gianluca Crippa(2), Stefan Müller(2), Tobias Colding(2), Elia Brué(2), Luca Spolaor(2), Elisabetta Chiodaroli(1), Ondřej Kreml(1), Philip Isett(1), Yann Brenier(1), Carlo Mantegazza(1), Luigi De Rosa(1), François Bouchut(1)