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.
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: [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 (2014), to appear in Ann. Sci. éc. Norm. Supér. (joint with Otis Chodosh) Stationary axisymmetric black holes with matter (2015), submitted. (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), submitted.
MAT 104, Princeton-Spring 2018
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
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