Expositions

  • Colloquium talk on “The characteristic gluing problem of General Relativity” (given at the Black Hole Initiative at Harvard University)
  • Slides for “The spacelike-characteristic Cauchy problem” (given in Elena’s GR seminar @ Princeton University)
Publications and Preprints
  1. (with S. Aretakis and I. Rodnianski) Characteristic gluing to the Kerr family and application to spacelike gluing. arXiv:2107.02456, 88 pages.
  2. (with S. Aretakis and I. Rodnianski) The characteristic gluing problem for the Einstein vacuum equations. Linear and non-linear analysis. arXiv:2107.02449, 102 pages.
  3. (with S. Aretakis and I. Rodnianski) The characteristic gluing problem for the Einstein equations and applications. arXiv:2107.02441, 31 pages.
  4. (with O. Graf) The spacelike-characteristic Cauchy problem of general relativity in low regularity.   arXiv:1909.07355, 91 pages; accepted in Ann. PDE.
  5. (with O. Graf) The canonical foliation on null hypersurfaces in low regularityarXiv:1909.07345, 69 pages; accepted in Ann. PDE.
  6. The localised bounded $L^2$-curvature theorem.   Comm. Math. Phys. (2019), 20 pages.
  7. Boundary harmonic coordinates on manifolds with boundary in low regularityComm. Math. Phys. (2019), 47 pages. 
  8. An extension procedure for the constraint equationsAnn. PDE (2018), 4:2, 122 pages. 
Theses
  1. The Cauchy problem in general relativity (résumé en français), Ph.D. thesis, Université Pierre-et-Marie-Curie (Paris 6), 2017, 259 pages. 
  2. On the static metric extension problem (pdf), Master’s thesis at ETH Zurich, 2014, 21 pages.