Igor Rodnianski

Igor Rodnianski ( Russian Игорь Роднянский , Igor Rodnjanski ; born April 28, 1972 in Kiev ) is a Russian-American mathematical physicist and mathematician.

Rodnianski studied at the University of Saint Petersburg with a diploma in physics in 1996. He then went to the USA, where he received his doctorate in mathematics in 1999 with Lev Kapitanski at Kansas State University ( pseudoholomorphic curves in almost complex manifolds ). He was Assistant Professor of Mathematical Physics at Princeton University from 2000 and became Professor of Mathematics at the Massachusetts Institute of Technology in 2011 .

Rodnianski is particularly concerned with hyperbolic partial differential equations (such as non-linear wave equations ), (linear and non-linear) Schrödinger equations and the solutions of the field equations of general relativity (AR) as well as harmonic analysis . With Sergiu Klainerman he investigated solutions of minimal regularity ( rough solutions ) of the Einstein equations of AR. In 2015, together with Klainerman and Jérémie Szeftel , he proved the curvature conjecture for the initial value problem of Klainerman's Einstein vacuum equations. With Hans Lindblad he gave a new proof of the global stability of Minkowski space-time (originally by Demetrios Christodoulou and S. Klainerman). ${\ displaystyle L ^ {2}}$

In 2002 he became a Long Term Prize Fellow of the Clay Mathematics Institute . In 2006 he was invited speaker at the International Congress of Mathematicians in Madrid ( The Cauchy Problem in General Relativity ). In 2011 he received the Fermat Prize for his work on the mathematical structure of the solutions to the AR equations.

Fonts (selection)

Besides the writings cited in the footnotes:

with Klainerman: Rough solutions of the Einstein-vacuum equations , Annals of Mathematics, Volume 161, 2005, pp. 1143-1193
with Klainerman: The causal structure of microlocalized rough Einstein metrics , Annals of Mathematics, Volume 161, 2005, pp. 1195-1243
with Dafermos: A new physical-space approach to decay for the wave equation with applications to black hole spacetimes , 16th International Congress Math.Phys., Prague 2009, Arxiv
with Klainerman: On the formation of trapped surfaces , Acta Mathematica, Volume 208, 2012, pp. 211–333
with Hans Lindblad : The global stability of Minkowski space-time in harmonic gauge , Annals of Mathematics, Volume 171, 2010, pp. 1401–1477, Arxiv
with Hans Lindblad: Global existence for the Einstein vacuum equations in wave coordinates , Comm. Math. Phys., Vol. 256, 2005, pp. 43-110, Arxiv
with Dafermos: The black hole stability problem for linear scalar perturbations , in: T. Damour (Ed.), 12. Marcel Grossmann Meeting, World Scientific 2011, Arxiv
with Dafermos: Lectures on Black Holes and Linear Waves , 17. Clay Math. Proc., American Math. Soc., 2013, pp. 97-205, Arxiv
with Terence Tao : Effective limiting absorption principles, and applications , Comm. Math. Phys., Volume 333, 2015, pp. 1-95, Arxiv
with Terence Tao: Long-time decay estimates for Schrödinger equations on manifolds , Annals of Math. Studies 163, 2007, pp. 223-253
with Mihalis Dafermos : Decay for solutions of the wave equation on Kerr exterior spacetimes , Part III: The full subextremalcase | a | <M, Annals of Mathematics, Volume 183, 2016, pp. 787-913, Arxiv Preprint
with Jared Speck: A regime of linear stability for the Einstein-scalar field system with applications to nonlinear Big Bang formation , Annals of Mathematics, Volume 187, 2018, pp. 65–156, Arxiv

Web links

Individual evidence

personal data
SURNAME	Rodnianski, Igor
ALTERNATIVE NAMES	Роднянский, Игорь (Russian spelling)
BRIEF DESCRIPTION	Russian-American mathematical physicist and mathematician
DATE OF BIRTH	April 28, 1972
PLACE OF BIRTH	Kiev

[1] Igor Rodnianski in the Mathematics Genealogy Project (English)

[2] Klainerman, Rodnianski, Szeftel: The Bounded Curvature L2 Conjecture, Invent. Math., Vol. 202, 2015, pp. 91-216, Arxiv