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Dive into the research topics where Igor Rodnianski is active. These topic labels come from the works of this person. Together they form a unique fingerprint.
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Beyond stability of black holes in general relativity
NSF - National Science Foundation
7/1/20 → 6/30/24
Project: Research project
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Oscillatory integrals and Falconer distance set problem
NSF - National Science Foundation
8/1/21 → 8/2/21
Project: Research project
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The Nonlinear Stability of Black Holes and the Structure of Spacetime Singularities in General Relativity
NSF - National Science Foundation
8/1/17 → 7/31/20
Project: Research project
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General Relativity and Geometric Hyperbolic PDEs
NSF - National Science Foundation
7/1/10 → 6/30/15
Project: Research project
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On blow up for the energy super critical defocusing nonlinear Schrödinger equations
Merle, F., Raphaël, P., Rodnianski, I. & Szeftel, J., Jan 2022, In: Inventiones Mathematicae. 227, 1, p. 247-413 167 p.Research output: Contribution to journal › Article › peer-review
Open Access7 Scopus citations -
On the implosion of a compressible fluid I: Smooth self-similar inviscid profiles
Merle, F., Raphaël, P., Rodnianski, I. & Szeftel, J., Sep 2022, In: Annals of Mathematics. 196, 2, p. 567-778 212 p.Research output: Contribution to journal › Article › peer-review
4 Scopus citations -
On the implosion of a compressible fluid II:Singularity formation
Merle, F., Raphaël, P., Rodnianski, I. & Szeftel, J., Sep 2022, In: Annals of Mathematics. 196, 2, p. 779-889 111 p.Research output: Contribution to journal › Article › peer-review
5 Scopus citations -
On the nature of Hawking’s incompleteness for the Einstein-vacuum equations: The regime of moderately spatially anisotropic initial data
Rodnianski, I. & Speck, J., 2022, In: Journal of the European Mathematical Society. 24, 1, p. 167-263 97 p.Research output: Contribution to journal › Article › peer-review
Open Access2 Scopus citations -
PLASMA ECHOES NEAR STABLE PENROSE DATA
Grenier, E., Nguyen, T. T. & Rodnianski, I., 2022, In: SIAM Journal on Mathematical Analysis. 54, 1, p. 940-953 14 p.Research output: Contribution to journal › Article › peer-review
2 Scopus citations