Cécile Huneau

CNRS Researcher Centre de Mathématiques Laurent Schwartz Ecole Polytechnique route de Saclay 91128 Palaiseau mail : cecile.huneau [at] polytechnique.edu phone number : +33 1 69 33 49 17

Research topics : Partial differential equations General relativity, Einstein equations Wave equation I am a CNRS researcher in the CMLS at Ecole Polytechnique. Before that I was a CNRS researcher at Institut Fourier, Grenoble, I have been a research associate at the University of Cambridge, and I have done my PHD under the supervition of Jérémie Szeftel, on Einstein equations with a space-like translation Killing field in the Ecole Normale Superieure, Paris. Between 2019 and 2022, I have supervised the PHD thesis of Arthur Touati . From 2022, I have been supervising the PHD thesis of Tony Salvi. Between 2019 and 2021, I have hosted the postdoc of Caterina Vâlcu. From 2023, I have been hosting the postdoc of Pascal Millet. To know more about my recent research topics, you can have a look at my Habilitation thesis

Publications and preprints : with Jonathan Luk : Burnett's conjecture in generalized wave coordinates with Annalaura Stingo and Zoe Wyatt : The global stability of the Kaluza-Klein spacetime with Annalaura Stingo : Global well-posedness for a system of quasilinear wave equations on a product space with Caterina Vâlcu : Einstein Constraint Equations for Kaluza-Klein Spacetimes with Jonathan Luk : Trilinear compensated compactness and Burnett's conjecture in general relativity with Jonathan Luk : High-frequency backreaction for the Einstein equations under polarized U(1) symmetry , Duke 2018 with Jonathan Luk : Einstein equations under polarized U(1) symmetry in an elliptic gauge , Communication in Mathematical Physics 2018 with Dietrich Häfner : Instability of infinitely-many stationary solutions of the SU(2) Yang-mills fields on the exterior of the Schwarzschild black-hole, Advances in Differential Equations 2019 Stability of Minkowski Space-time with a translation space-like Killing field , Annals of PDE 2018 Stability in exponential time of Minkowski Space-time with a translation space-like Killing field , Annals of PDE 2016 Constraint equations for 3 + 1 vacuum Einstein equations with a translational space-like Killing field in the asymptotically flat case II , Asymptotic Analysis 2016 with Romain Gicquaud : Limit equation for vacuum Einstein constraints with a translational Killing vector field in the compact hyperbolic case , Journal of Geometry and Physics, 2016 Constraint equations for 3 + 1 vacuum Einstein equations with a translational space-like Killing field in the asymptotically flat case , Annales Henri Poincaré, 2016. Proceedings : Stability in exponential time of Minkowski Space-time with a space-like translation symmetry , Introduction to the following paper, proceedings of the seminar Laurent Schwarz and of Journées EDP 2015

Online talks : High-frequency backreaction for the Einstein equations under polarized U(1) symmetry , CIRM, Juillet 2017 Stability of Minkowski Space-time with a translation space-like Killing field , IHES, Juin 2016

Teaching : Between 2021 and 2024, I have been teaching a course in Ecole Polytechnique on General relativity and wave equation. You can find the lecture notes here.