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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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Oscillatory integrals and Falconer distance set problem
NSF - National Science Foundation
8/1/21 → 7/31/24
Project: Research project
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Beyond stability of black holes in general relativity
NSF - National Science Foundation
7/1/20 → 6/30/23
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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Boundedness and Decay for the Teukolsky Equation on Kerr Spacetimes I: The Case | a| ≪ M
Dafermos, M., Holzegel, G. & Rodnianski, I., Jun 1 2019, In: Annals of PDE. 5, 1, 2.Research output: Contribution to journal › Article › peer-review
Open Access13 Scopus citations -
The linear stability of the schwarzschild solution to gravitational perturbations
Dafermos, M., Holzegel, G. & Rodnianski, I., 2019, In: Acta Mathematica. 222, 1, p. 1-214 214 p.Research output: Contribution to journal › Article › peer-review
Open Access26 Scopus citations -
A regime of linear stability for the Einstein-scalar field system with applications to nonlinear Big Bang formation
Rodnianski, I. & Speck, J., Jan 1 2018, In: Annals of Mathematics. 187, 1, p. 65-156 92 p.Research output: Contribution to journal › Article › peer-review
15 Scopus citations -
A scattering theory for the wave equation on kerr black hole exteriors
Dafermos, M., Rodnianski, I. & Shlapentokh-Rothman, Y., 2018, In: Annales Scientifiques de l'Ecole Normale Superieure. 51, 2, p. 371-486 116 p.Research output: Contribution to journal › Article › peer-review
14 Scopus citations -
Stable Big Bang formation in near-FLRW solutions to the Einstein-scalar field and Einstein-stiff fluid systems
Rodnianski, I. & Speck, J., Nov 1 2018, In: Selecta Mathematica, New Series. 24, 5, p. 4293-4459 167 p.Research output: Contribution to journal › Article › peer-review
14 Scopus citations