Igor Rodnianski | Academic Influence

Igor Rodnianski's AcademicInfluence.com Rankings

Igor Rodnianski

Mathematics

#1593

World Rank

#2583

Historical Rank

#650

USA Rank

Measure Theory

#3053

World Rank

#3622

Historical Rank

#886

USA Rank

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Mathematics

Igor Rodnianski's Degrees

PhD Mathematics Princeton University
Masters Mathematics Princeton University
Bachelors Mathematics Moscow State University

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Why Is Igor Rodnianski Influential?

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According to Wikipedia, Igor Rodnianski is an American mathematician at Princeton University. He works in partial differential equations, mathematical physics, and general relativity. Life Rodnianski studied at the University of Saint Petersburg, graduating in Physics in 1996. He graduated in 1999 from Kansas State University.

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Igor Rodnianski's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Time decay for solutions of Schrödinger equations with rough and time-dependent potentials (2001) (347)
Lectures on black holes and linear waves (2008) (306)
The global stability of Minkowski space-time in harmonic gauge (2004) (293)
Quantum Fluctuations and Rate of Convergence Towards Mean Field Dynamics (2007) (254)
The red‐shift effect and radiation decay on black hole spacetimes (2005) (237)
Global Existence for the Einstein Vacuum Equations in Wave Coordinates (2003) (223)
Decay for solutions of the wave equation on Kerr exterior spacetimes III: The full subextremal case |a| < M (2014) (215)
A proof of Price’s law for the collapse of a self-gravitating scalar field (2003) (208)
A new physical-space approach to decay for the wave equation with applications to black hole spacetimes (2009) (198)
The Cauchy problem in General Relativity (2006) (186)
Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems (2009) (186)
Angular Regularity and Strichartz Estimates for the Wave Equation (2004) (155)
A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds (2008) (153)
The linear stability of the Schwarzschild solution to gravitational perturbations (2016) (148)
On the formation of singularities in the critical $O(3)$ $\sigma$-model (2006) (139)
Decay for solutions of the wave equation on Kerr exterior spacetimes I-II: The cases |a| << M or axisymmetry (2010) (128)
The black hole stability problem for linear scalar perturbations (2010) (126)
Asymptotic stability of N-soliton states of NLS (2003) (120)
The Bounded L2 Curvature Conjecture (2012) (110)
Dispersive analysis of charge transfer models (2003) (109)
The weak null condition for Einstein's equations (2003) (103)
Blowup dynamics for smooth data equivariant solutions to the critical Schrödinger map problem (2013) (101)
Rough solutions of the Einstein vacuum equations (2001) (90)
Improved local well-posedness for quasilinear wave equations in dimension three (2003) (87)
Shape and Morse theory of attractors (2000) (84)
The wave equation on Schwarzschild-de Sitter spacetimes (2007) (84)
Effective Limiting Absorption Principles, and Applications (2011) (84)
On the formation of trapped surfaces (2009) (79)
On the global regularity of wave maps in the critical Sobolev norm (2000) (79)
Boundedness and Decay for the Teukolsky Equation on Kerr Spacetimes I: The Case $$|a|\ll M$$|a|≪M (2017) (74)
Causal geometry of Einstein-Vacuum spacetimes with finite curvature flux (2003) (72)
Local Propagation of Impulsive GravitationalWaves (2012) (67)
Nonlinear interaction of impulsive gravitational waves for the vacuum Einstein equations (2013) (66)
The nonlinear future stability of the FLRW family of solutions to the irrotational Euler–Einstein system with a positive cosmological constant (2013) (66)
A geometric approach to the Littlewood–Paley theory (2003) (60)
Global Regularity for the Maxwell-Klein-Gordon Equation with Small Critical Sobolev Norm in High Dimensions (2003) (60)
A scattering theory for the wave equation on kerr black hole exteriors (2014) (59)
The bounded $$L^2$$L2 curvature conjecture (2015) (58)
A note on energy currents and decay for the wave equation on a Schwarzschild background (2007) (57)
The Stability of the Irrotational Euler-Einstein System with a Positive Cosmological Constant (2009) (53)
Stable Big Bang formation in near-FLRW solutions to the Einstein-scalar field and Einstein-stiff fluid systems (2014) (52)
A scattering theory construction of dynamical vacuum black holes (2013) (51)
On the fundamental solution of a perturbed harmonic sscillator (1997) (50)
On the global well-posedness of the one-dimensional Schrodinger map flow (2008) (49)
Blow up dynamics for smooth equivariant solutions to the energy critical Schr (2011) (47)
Rough solutions of the Einstein-vacuum equations (2005) (46)
Type II blow up for the energy supercritical NLS (2014) (45)
On the breakdown criterion in general relativity (2008) (44)
A regime of linear stability for the Einstein-scalar field system with applications to nonlinear Big Bang formation (2014) (42)
A fully anisotropic mechanism for formation of trapped surfaces in vacuum (2013) (41)
Sharp trace theorems for null hypersurfaces on Einstein metrics with finite curvature flux (2003) (35)
ON THE RADIUS OF INJECTIVITY OF NULL HYPERSURFACES. (2006) (34)
Classical and quantum scattering for a class of long range random potentials (2003) (32)
On the implosion of a three dimensional compressible fluid (2019) (30)
Small-amplitude nonlinear waves on a black hole background (2005) (28)
Does a Quantum Particle Know the Time (1997) (28)
A KIRCHOFF–SOBOLEV PARAMETRIX FOR THE WAVE EQUATION AND APPLICATIONS (2006) (28)
On emerging scarred surfaces for the Einstein vacuum equations (2010) (27)
Overview of the proof of the Bounded L 2 Curvature Conjecture (2012) (27)
The causal structure of microlocalized rough Einstein metrics (2005) (26)
Landau damping for analytic and Gevrey data (2020) (25)
The non-linear stability of the Schwarzschild family of black holes (2021) (25)
On blow up for the energy super critical defocusing nonlinear Schrödinger equations (2019) (25)
A physical space approach to wave equation bilinear estimates (2001) (22)
RICCI DEFECTS OF MICROLOCALIZED EINSTEIN METRICS (2001) (22)
BILINEAR ESTIMATES ON CURVED SPACE–TIMES (2005) (21)
On smooth self similar solutions to the compressible Euler equations (2019) (20)
Blow up dynamics for smooth data equivariant solutions to the energy critical Schrodinger map problem (2011) (20)
Chapter 11. Longtime Decay Estimates for the Schrödinger Equation on Manifolds (2007) (17)
On the nature of Hawking’s incompleteness for the Einstein-vacuum equations: The regime of moderately spatially anisotropic initial data (2018) (17)
Diophantine properties of elements of SO(3) (2000) (17)
A note on boundary value problems for black hole evolutions (2004) (15)
Long-time decay estimates for the Schr\"odinger equation on manifolds (2004) (14)
On the implosion of a compressible fluid I: Smooth self-similar inviscid profiles (2022) (12)
Regulated Smoothing for Schrödinger Evolution (1996) (12)
On the implosion of a compressible fluid II: Singularity formation (2022) (10)
Stable Big Bang formation for Einstein’s equations: The complete sub-critical regime (2020) (10)
Rough solution for the Einstein Vacuum equations (2001) (9)
The wave map problem. Small data critical regularity (2006) (8)
Naked Singularities for the Einstein Vacuum Equations: The Exterior Solution (2019) (8)
The Asymptotically Self-Similar Regime for the Einstein Vacuum Equations (2017) (7)
High-frequency limits and null dust shell solutions in general relativity. (2020) (7)
On blow up for the energy super critical defocusing nonlinear Schrödinger equations (2021) (7)
The characteristic gluing problem for the Einstein vacuum equations. Linear and non-linear analysis (2021) (6)
Characteristic gluing to the Kerr family and application to spacelike gluing (2021) (6)
Boundedness and Decay for the Teukolsky Equation on Kerr Spacetimes I: The Case \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{d (2019) (6)
The causal structure of microlocalized Einstein metrics (2001) (6)
Plasma Echoes Near Stable Penrose Data (2020) (5)
The characteristic gluing problem for the Einstein equations and applications (2021) (5)
The resolution of the bounded L2 curvature conjecture in general relativity (2016) (4)
Blowup dynamics for smooth data equivariant solutions to the critical Schrödinger map problem (2012) (4)
Sharp L1 estimates for singular transport equations (2007) (4)
Boltzmann Limit for a Homogeneous Fermi Gas with Dynamical Hartree-Fock Interactions in a Random Medium (2009) (3)
Evolution equations : Clay Mathematics Institute Summer School evolution equations Eidgenössische Technische Hochschule, Zürich, Switzerland, June 23-July 18, 2008 (2013) (3)
Regularity and geometric properties of solutions of the Einstein-Vacuum equations (2002) (3)
Obstruction-free gluing for the Einstein equations (2022) (3)
A fully anisotropic mechanism for formation of trapped surfaces in vacuum (2014) (2)
The resolution of the bounded L2 curvature conjecture in general relativity (2016) (1)
The heat equation (2010) (0)
Global Behavior of Solutions to Einstein's Equations (2015) (0)
THE BOUNDED L CURVATURE CONJECTURE (2012) (0)
Well-posedness of a gauge-covariant wave equation with space-time white noise forcing (2023) (0)
A GEOMETRIC THEORY OF LITTLEWOOD-PALEY THEORY (2003) (0)
Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems (2012) (0)
Quasilinear wave equations on asymptotically flat spacetimes with applications to Kerr black holes (2022) (0)
III.36 The Heat Equation (2010) (0)
Effective Limiting Absorption Principles, and Applications (2014) (0)
The Asymptotically Self-Similar Regime for the Einstein Vacuum Equations (2018) (0)
The bounded L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^2$$\end{document} curvature conjecture (2015) (0)
Decay of a linear scalar field on Schwarzschild space-time (2006) (0)
SMALL DATA CRITICAL REGULARITY (2007) (0)
SMALL DATA CRITICAL REGULARITY (2007) (0)
Around the bounded $L^2$ curvature conjecture in general relativity (2008) (0)
Stable Big Bang formation in near-FLRW solutions to the Einstein-scalar field and Einstein-stiff fluid systems (2018) (0)

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