C
Charles Fefferman
Researcher at Princeton University
Publications - 57
Citations - 2844
Charles Fefferman is an academic researcher from Princeton University. The author has contributed to research in topics: Singularity & Gravitational singularity. The author has an hindex of 25, co-authored 57 publications receiving 2336 citations.
Papers
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Testing the manifold hypothesis
TL;DR: In this paper, the authors present an algorithm for fitting a manifold to an unknown probability distribution supported in a separable Hilbert space, only using i.i.d samples from that distribution.
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Honeycomb lattice potentials and Dirac points
TL;DR: In this paper, it was shown that the Schroedinger operator with a potential having the symmetry of a honeycomb structure has dispersion surfaces with conical singularities at the vertices of its Brillouin zone.
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$Q$-Curvature and Poincaré Metrics
TL;DR: In this article, the authors presented a new definition of Branson's Q-curvature in even-dimensional conformal geometry, which they derived as a coefficient in the asymptotic expansion of a boundary problem at infinity for the Laplacian in the Poincare metric associated to the conformal structure.
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Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves
TL;DR: In this paper, it was shown that the Rayleigh-Taylor condition may hold initially but break down in finite time, and that the existence of water waves turning can be proven.
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Ambient metric construction of Q-curvature in conformal and CR geometries
Charles Fefferman,Kengo Hirachi +1 more
TL;DR: In this article, the authors give a geometric derivation of Branson's Q-curvature in terms of the ambient metric associated with conformal structures, which can be applied to a large class of invariant operators.