Projects per year
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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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Collaborations and top research areas from the last five years
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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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Singularities and Black Holes in General Relativity
Shlapentokh-Rothman, Y. & Rodnianski, I.
NSF - National Science Foundation
7/1/19 → 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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Characteristic Gluing to the Kerr Family and Application to Spacelike Gluing
Aretakis, S., Czimek, S. & Rodnianski, I., Oct 2023, In: Communications In Mathematical Physics. 403, 1, p. 275-327 53 p.Research output: Contribution to journal › Article › peer-review
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Naked singularities for the Einstein vacuum equations: The exterior solution
Rodnianski, I. & Shlapentokh-Rothman, Y., 2023, In: Annals of Mathematics. 198, 1, p. 231-391 161 p.Research output: Contribution to journal › Article › peer-review
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STABLE BIG BANG FORMATION FOR EINSTEIN’S EQUATIONS: THE COMPLETE SUB-CRITICAL REGIME
Fournodavlos, G., Rodnianski, I. & Speck, J., 2023, In: Journal of the American Mathematical Society. 36, 3, p. 827-916 90 p.Research output: Contribution to journal › Article › peer-review
1 Scopus citations -
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 Access13 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
16 Scopus citations