2026 Igor Rodnianski: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	54	856	731	413	330	102	8774

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

856

731

413

330

102

8774

Overview

Igor Rodnianski is affiliated with Princeton University in the United States. Their research primarily spans the fields of Physics and Astronomy as well as Mathematics, with a substantial focus on topics within theoretical and applied areas of these disciplines.

The scientist's work intersects various specialized subfields, including:

Astronomy and Astrophysics
Nuclear and High Energy Physics
Mathematical Physics
Applied Mathematics
Statistical and Nonlinear Physics

Rodnianski's main topics of research cover a range of advanced problems in physics and mathematics, notably:

Black Holes and Theoretical Physics
Cosmology and Gravitation Theories
Advanced Mathematical Physics Problems
Pulsars and Gravitational Waves Research
Navier-Stokes equation solutions
Fluid Dynamics and Turbulent Flows
Gas Dynamics and Kinetic Theory

The scientist has published extensively, with a frequent presence in specific academic venues. Their most common publication outlets include:

arXiv (Cornell University)
Annals of Mathematics
Journal of Differential Geometry
Mathematical Research Letters
Journal of the American Mathematical Society

Notable recent papers authored or co-authored by Igor Rodnianski are:

On the implosion of a compressible fluid I: Smooth self-similar inviscid profiles (2022), Annals of Mathematics
On the implosion of a compressible fluid II: Singularity formation (2022), Annals of Mathematics
A scattering theory construction of dynamical vacuum black holes (2024), Journal of Differential Geometry
Landau damping for analytic and Gevrey data (2021), Mathematical Research Letters
Stable Big Bang formation for Einstein's equations: The complete sub-critical regime (2023), Journal of the American Mathematical Society

Throughout their career, Rodnianski has collaborated frequently with several researchers. Prominent co-authors include:

Stefan Czimek
Stefanos Aretakis
Mihalis Dafermos
Gustav Holzegel
Frank Merle

Best Publications

Time decay for solutions of Schrödinger equations with rough and time-dependent potentials

Igor Rodnianski;Wilhelm Schlag

404
Citations
The red-shift effect and radiation decay on black hole spacetimes

Mihalis Dafermos;Igor Rodnianski

363
Citations
The global stability of Minkowski space-time in harmonic gauge

Hans Lindblad;Igor Rodnianski

354
Citations
A proof of Price’s law for the collapse of a self-gravitating scalar field

Michael C. Dafermos;Igor Rodnianski

326
Citations
Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems

Pierre Raphaël;Igor Rodnianski

314
Citations
Decay for solutions of the wave equation on Kerr exterior spacetimes III: The full subextremal case |a| < M

Mihalis Dafermos;Igor Rodnianski;Yakov Shlapentokh-Rothman

291
Citations
Quantum Fluctuations and Rate of Convergence Towards Mean Field Dynamics

Igor Rodnianski;Benjamin Schlein

290
Citations
Global existence for the einstein vacuum equations in wave coordinates

Hans Lindblad;Igor Rodnianski

272
Citations
On the formation of singularities in the critical $O(3)$ $\sigma$-model

Igor Rodnianski;Jacob Sterbenz

265
Citations
Lectures on black holes and linear waves

Mihalis Dafermos;Igor Rodnianski

249
Citations
The linear stability of the Schwarzschild solution to gravitational perturbations

Mihalis Dafermos;Gustav Holzegel;Igor Rodnianski

226
Citations
A new physical-space approach to decay for the wave equation with applications to black hole spacetimes

Michael C. Dafermos;Igor Rodnianski

215
Citations
Asymptotic stability of N-soliton states of NLS

I. Rodnianski;W. Schlag;A. Soffer

198
Citations
A proof of the uniform boundedness of solutions to the wave equation on slowly rotating Kerr backgrounds

Mihalis Dafermos;Igor Rodnianski

197
Citations
Decay for solutions of the wave equation on Kerr exterior spacetimes I-II: The cases |a| << M or axisymmetry

Mihalis Dafermos;Igor Rodnianski

183
Citations
THE BOUNDED L 2 CURVATURE CONJECTURE

Sergiu Klainerman;Igor Rodnianski;Jeremie Szeftel

173
Citations
Blowup dynamics for smooth data equivariant solutions to the critical Schrödinger map problem

Frank Merle;Pierre Raphaël;Igor Rodnianski

165
Citations
Rough solutions of the Einstein-vacuum equations

Sergiu Klainerman;Igor Rodnianski

161
Citations
The nonlinear future stability of the FLRW family of solutions to the irrotational Euler–Einstein system with a positive cosmological constant

Igor Rodnianski;Jared R. Speck

150
Citations
The weak null condition for Einstein's equations

Hans Lindblad;Igor Rodnianski

148
Citations
The global stability of the Minkowski space-time in harmonic gauge

Hans Lindblad;Igor Rodnianski

26
Citations
Angular Regularity and Strichartz Estimates for the Wave Equation

Jacob Sterbenz;Igor Rodnianski

19
Citations
The Cauchy problem in General Relativity

Igor Rodnianski

8
Citations

Frequent Co-Authors

Sergiu Klainerman Princeton University

Frank Merle CY Cergy Paris University

Pierre Raphaël Université Côte d'Azur

Terence Tao University of California, Los Angeles

Wilhelm Schlag Yale University

Hans Lindblad Johns Hopkins University

Gigliola Staffilani MIT

Benjamin Schlein University of Zurich

External Links

Wikipedia of Igor Rodnianski Personal website of Igor Rodnianski

If you think any of the details on this page are incorrect, let us know.

Related Online Degrees & Career Pathways

For students pursuing Mathematics in the USA, there are numerous related online degrees that can broaden career opportunities. For instance, a masters in marketing can complement strong analytical skills with business acumen, opening doors in market research and strategic planning.

If you're looking to enhance leadership and management expertise, consider exploring the flexibility of 1 year mba programs. These accelerated options offer quick career advancement without a lengthy time commitment.

Another important consideration is credit transferability. Many students wonder, can you transfer mba credits? Understanding this can save time and reduce the cost of completing advanced degrees in business-related fields.

For those interested in data-driven roles, a masters in data analytics builds on mathematical foundations to unlock career pathways in big data, finance, and tech industries.