I'm an assistant professor in the Department of Mathematics at the University of Toronto St. George and in the Department of Mathematical and Computational Sciences at the University of Toronto Mississauga.
I can be emailed at yakovsr AT math DOT toronto DOT edu.
I would like to acknowledge support from an Alfred P. Sloan Fellowship in Mathematics and from NSERC discovery grants RGPIN-2021-02562 and DGECR-2021-00093.
PhD: MIT (2015). BS with Honors: Stanford (2010).
Partial Differential Equations, General Relativity, Geometric Analysis
Quantitative Mode Stability for the Wave Equation on the Kerr Spacetime, Journal: [Ann. Henri Poincaré 16 (2015), is. 1, 289-345]. Exponentially growing finite energy solutions for the Klein-Gordon equation on sub-extremal Kerr spacetimes, Journal: [Comm. Math. Phys. 329 (2014), no. 3, 859-891]. (joint with Mihalis Dafermos and Igor Rodnianski) Decay for solutions of the wave equation on Kerr exterior spacetimes III: The full subextremal case |a| < M, Journal: [Annals of Math. 183 (2016), no. 3, 787-913]. (joint with Mihalis Dafermos and Igor Rodnianski) A scattering theory for the wave equation on Kerr black hole exteriors, Journal: [Annales scientifiques de l'ENS, 51 (2018), no. 2, 371-486]. (joint with Otis Chodosh) Stationary axisymmetric black holes with matter Journal: [Communications in Analysis and Geometry Vol. 29, No. 1 (2021), pp. 19-76]. (joint with Otis Chodosh) Time-Periodic Einstein–Klein–Gordon Bifurcations of Kerr, Journal: [Comm. Math. Phys. 356 (2017), no. 3, 1155-1250]. (joint with Mihalis Dafermos) Time-Translation Invariance of Scattering Maps and Blue-Shift Instabilities on Kerr Black Hole Spacetimes, Journal: [Comm. Math. Phys. 350 (2017), no. 3, 985-1016]. (joint with Igor Rodnianski) The Asymptotically Self-Similar Regime for the Einstein Vacuum Equations, Journal: [Geom. Funct. Anal. 28 (2018), no. 3, 755-878.]. (joint with Christoph Kehle) A scattering theory for linear waves on the interior of Reissner-Nordström black holes, Journal: [Ann. Henri Poincaré 20 (2019), no. 5, 1583–1650]. (joint with Mihalis Dafermos) Rough initial data and the strength of the blue-shift instability on cosmological black holes with Λ > 0, Journal: [Classical and Quantum Gravity, 35 (2018), no. 19]. (joint with Igor Rodnianski) Naked Singularities for the Einstein Vacuum Equations: The Exterior Solution, Journal: [Annas of Math. 198 (2023) no. 1]. (joint with Rita Teixeira da Costa) Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range |a| < M: frequency space analysis. (joint with Jonathan Luk and Sung-Jin Oh) A scattering theory approach to Cauchy horizon instability and applications to mass inflation, Journal: [Ann. Henri Poincaré 24 (2023), no. 2, 363–411]. Naked Singularities for the Einstein Vacuum Equations: The Interior Solution. Twisted Self-Similarity and the Einstein Vacuum Equations, Journal: [Comm. Math. Phys. 401 (2023) 2269–2325]. (joint with Rita Teixeira da Costa) Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range |a| < M: physical space analysis. (joint with Federico Pasqualotto and Maxime Van de Moortel) The asymptotics of massive fields on stationary spherically symmetric black holes for all angular momenta. (joint with Maxime Van de Moortel) Polynomial time decay for solutions of the Klein--Gordon equation on a subextremal Reissner--Nordström black hole.