Faculty

Institution

Unit

Venue

Igor Rodnianski

Chair Professor

Princeton University

Affiliations

Natural Sciences.

Department of Mathematics

Igor Rodnianski is currently serving as a Mathematics Chair Professor at Princeton University.

Honors

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Experiences

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Education

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Igor Rodnianski

Princeton University

Chair Professor

You can click a keyword to filter the displayed items

applied mathematics mathematics mathematical physics general relativity physics particle physics applied physics pure mathematics mathematical analysis geometric analysis wave equation mathematical sciences fluid dynamics space science differential geometry high-energy astrophysics quantum science einstein vacuum equations numerical simulations relativistic astrophysics compressible flows nonlinear phenomena geometric topology nonlinear science fluid flow numerical mathematics spectral theory critical phenomena analytic number theory microlocal analysis residual stress knot theory wave propagation hyperbolic equations hyperbolic conservation laws curvature conjecture einstein-vacuum equations theoretical physics computational fluid dynamics fluid science statistical physics singularly perturbed problem large scale structure numerical relativity wave scattering nonlinear hyperbolic problem nonlinear wave propagation collapse behaviour hydrodynamic cavitation compression (physics) wave theory global analysis numerical method for partial differential equation black hole spacetimes linear stability kerr exterior spacetimes irrotational euler-einstein system positive cosmological constant teukolsky equation kerr spacetimes trapped surfaces global regularity finite curvature flux null hypersurfaces characteristic gluing problem nonlinear dynamics thermal engineering modern physics particle cosmology quantum dynamics geometric singular perturbation theory geometry of numbers critical system special relativity vacuum device theoretical analysis

Notable Scholarly Works

Notable Federal Grants

Collaborators

Quasilinear Wave Equations on Asymptotically Flat Spacetimes With Applications to Kerr Black Holes. Analysis & PDE (2026)

Dafermos, MihalisHolzegel, GustavRodnianski, IgorTaylor, Martin

particle physicsgeneral relativityapplied mathematics

A Scattering Theory Construction of Dynamical Vacuum Black Holes. Journal of Differential Geometry (2024)

Mihalis DafermosGustav HolzegelIgor Rodnianski

differential geometryplanetary sciencesscattering theory constructionparticle physicsmathematical physicsapplied mathematics

Quasilinear Wave Equations on Kerr Black Holes in the Full Subextremal Range $|a|. arXiv (Cornell University) (2024)

Dafermos, MihalisHolzegel, GustavRodnianski, IgorTaylor, Martin

black holeskerr black holeshigh energy physicsapplied mathematicsfull subextremal range

Characteristic Gluing to the Kerr Family and Application to Spacelike Gluing. Communications in Mathematical Physics (2023)

Stefanos AretakisStefan CzimekIgor Rodnianski

information theorycharacteristic gluingmathematical physicsapplied mathematicsmathematicskerr family

Naked Singularities for the Einstein Vacuum Equations: The Exterior Solution. Annals of Mathematics (2023)

Igor RodnianskiYakov Shlapentokh-Rothman

naked singularitieseinstein vacuum equationscondensed matter physicsexterior solutiongeneral relativityapplied mathematicsmathematics

Stable Big Bang Formation for Einstein’s Equations: The Complete Sub-Critical Regime. Journal of the American Mathematical Society (2023)

Grigorios FournodavlosIgor RodnianskiJared Speck

physicstheoretical physicsplanetary sciencesmathematical sciencestheoretical high-energy physicsastronomymathematical physicscomplete sub-critical regime

The Characteristic Gluing Problem for the Einstein Vacuum Equations: Linear and Nonlinear Analysis. Annales Henri Poincaré (2023)

Stefanos AretakisStefan CzimekIgor Rodnianski

einstein vacuum equationscharacteristic gluing problemapplied mathematics

Obstruction-Free Gluing for the Einstein Equations. arXiv (Cornell University) (2022)

Czimek, StefanRodnianski, Igor

einstein equationsobstruction-free gluingmathematical physicsmathematics

On the Implosion of a Compressible Fluid II: Singularity Formation. Annals of Mathematics (2022)

Frank MerlePierre RaphaëlIgor RodnianskiJeremie Szeftel

compressible flowsresidual stresscomplex fluidstight oilnumerical simulationssingularity formationfluid sciencecompressible fluid iiapplied physicsfluid flowmechanical engineeringdeformationhydrodynamic cavitationapplied mathematicsfluid dynamicscomputational fluid dynamicsrheologycompression (physics)fluid mechanicsfractional calculus

On the Implosion of a Compressible Fluid I: Smooth Self-Similar Inviscid Profiles. Annals of Mathematics (2022)

Frank MerlePierre RaphaëlIgor RodnianskiJeremie Szeftel

biophysicsmechanical engineeringfluid dynamicsmultiphase flowscompressible flowshydrodynamic cavitationcavitating flowscomputational fluid dynamicsnonlinear phenomenahydroelasticitycomplex fluidsrheologynumerical simulationsfluid mechanicsapplied mathematicsrheological constitutive equationfluid sciencefluid flow

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Igor Rodnianski

Chair Professor

Princeton University

Affiliations

Natural Sciences.

Department of Mathematics

Igor Rodnianski is currently serving as a Mathematics Chair Professor at Princeton University.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Igor Rodnianski

Princeton University

Chair Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Quasilinear Wave Equations on Asymptotically Flat Spacetimes With Applications to Kerr Black Holes. Analysis & PDE (2026)

Dafermos, MihalisHolzegel, GustavRodnianski, IgorTaylor, Martin

particle physicsgeneral relativityapplied mathematics

A Scattering Theory Construction of Dynamical Vacuum Black Holes. Journal of Differential Geometry (2024)

Mihalis DafermosGustav HolzegelIgor Rodnianski

differential geometryplanetary sciencesscattering theory constructionparticle physicsmathematical physicsapplied mathematics

Quasilinear Wave Equations on Kerr Black Holes in the Full Subextremal Range $|a|. arXiv (Cornell University) (2024)

Dafermos, MihalisHolzegel, GustavRodnianski, IgorTaylor, Martin

black holeskerr black holeshigh energy physicsapplied mathematicsfull subextremal range

Characteristic Gluing to the Kerr Family and Application to Spacelike Gluing. Communications in Mathematical Physics (2023)

Stefanos AretakisStefan CzimekIgor Rodnianski

information theorycharacteristic gluingmathematical physicsapplied mathematicsmathematicskerr family

Naked Singularities for the Einstein Vacuum Equations: The Exterior Solution. Annals of Mathematics (2023)

Igor RodnianskiYakov Shlapentokh-Rothman

naked singularitieseinstein vacuum equationscondensed matter physicsexterior solutiongeneral relativityapplied mathematicsmathematics

Stable Big Bang Formation for Einstein’s Equations: The Complete Sub-Critical Regime. Journal of the American Mathematical Society (2023)

Grigorios FournodavlosIgor RodnianskiJared Speck

physicstheoretical physicsplanetary sciencesmathematical sciencestheoretical high-energy physicsastronomymathematical physicscomplete sub-critical regime

The Characteristic Gluing Problem for the Einstein Vacuum Equations: Linear and Nonlinear Analysis. Annales Henri Poincaré (2023)

Stefanos AretakisStefan CzimekIgor Rodnianski

einstein vacuum equationscharacteristic gluing problemapplied mathematics

Obstruction-Free Gluing for the Einstein Equations. arXiv (Cornell University) (2022)

Czimek, StefanRodnianski, Igor

einstein equationsobstruction-free gluingmathematical physicsmathematics

On the Implosion of a Compressible Fluid II: Singularity Formation. Annals of Mathematics (2022)

Frank MerlePierre RaphaëlIgor RodnianskiJeremie Szeftel

On the Implosion of a Compressible Fluid I: Smooth Self-Similar Inviscid Profiles. Annals of Mathematics (2022)

Frank MerlePierre RaphaëlIgor RodnianskiJeremie Szeftel

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