Yakov Shlapentokh-Rothman

I'm an NSF postdoctoral fellow at Princeton University.

I can be emailed at yshlapen AT math DOT princeton DOT edu.

My office is Fine Hall 404.

I'm an organizer of the analysis seminar here at Princeton.


Education:

  • PhD: MIT (2015).
  • BS with Honors: Stanford (2010).

  • Research Interests:

    Partial Differential Equations, General Relativity, Geometric Analysis

    Papers and preprints:

  • Quantitative Mode Stability for the Wave Equation on the Kerr Spacetime, Journal: [Annales 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 (2015), to appear in Communications in Analysis and Geometry.
  • (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 (2017), 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 (2018), submitted.
  • (joint with Mihalis Dafermos) Rough initial data and the strength of the blue-shift instability on cosmological black holes with Λ > 0 (2018), submitted.

  • Current and Upcoming Teaching:


    Invited Talks:

  • DAMTP: Oct 25, 2012
  • FRG Mathematical GR Workshop at University of Miami: Dec 18-21, 2012
  • Analysis seminar at MIT: Mar 5, 2013
  • Analysis seminar at UPenn: Mar 12, 2013
  • Analysis seminar at Chapel Hill: Apr 2, 2014
  • Astrophysics seminar at University of Florida: Apr 18, 2014
  • Analysis and Applied Math seminar at University of Toronto: Mar 6, 2015
  • Geometry and Analysis seminar at Imperial College London: Apr 23, 2015
  • New York General Relativity Seminar at Columbia University: May 8, 2015
  • Singularities in General Relativity at the Fields Institute: Jun 17, 2015
  • Mathematical Problems of General Relativity (mini-symposium at EquaDiff 2015): Jul 7, 2015
  • Hyperbolic Equations on Spacetimes: Stability, Microlocal Analysis and Quantum Field Theory at the Erwin Schrödinger Institute: Sep 8, 2015
  • Analysis Seminar at Princeton University: Sep 21, 2015
  • Workshop on Geometric Hyperbolic PDE at Imperial College London: Oct 30, 2015
  • Informal Geometric Analysis Seminar at the University of Maryland: Dec 3, 2015
  • Geometric Analysis Seminar at the University of Oregon: Feb 2, 2016
  • Geometry and Analysis Seminar at Oxford University: Feb 18, 2016
  • Geometric Analysis and Partial Differential Equations Seminar at Cambridge University: Feb 22, 2016
  • Seminar at Mathematical GR Group Meeting at Queen Mary University of London: Feb 29, 2016
  • Section in Mathematical General Relativity at AMS meeting at Stony Brook: March 19, 2016
  • Geometric Analysis Seminar at Rutgers University: March 29, 2016
  • Analysis and PDE Seminar at Stanford: May 24, 2016
  • Analysis and PDE Seminar at University of Kentucky: Oct. 18, 2016
  • Analysis and PDE Seminar at Johns Hopkins: Oct. 31, 2016
  • AMS Special Session on Geometric Analysis and General Relativity: March 11, 2017
  • Analysis Seminar at MIT: May 2, 2017
  • Advances in General Relativity at the Erwin Schrödinger Institute: Aug 30, 2017
  • 2017 FRG-PDE Meeting at Princeton University: Oct 22, 2017
  • Special Section on the Mathematics of Gravitational Waves at the Joint Math Meetings at San Diego: Jan 12, 2018
  • Special Session on Mathematical Problems of Relativistic Physics: Classical and Quantum at Northeastern: April 21, 2018

  • Past Teaching:

  • 18.01A/18.02A Recitation, MIT-Fall 2014
  • 18.02A Recitation, MIT-IAP 2015
  • Boston City Limits Summer School on the Geometric Analysis of Waves and Fluids, MIT Summer 2016
  • MAT 103, Princeton-Fall 2016
  • MAT 202, Princeton-Spring 2017
  • Junior Seminar: Introduction to Nonlinear Wave Equations, Princeton-Fall 2017
  • MAT 104, Princeton-Spring 2018

  • Links