My research interest focuses on  integrable systems and partial differential  equations (PDEs). Precisely, I work on the construction of (generalized) action--angle coordinates, Birkhoff coordinates and explicit expression of solutions of integrable systems. I am also interested in the long time behavior of solutions of PDEs including the wave turbulence phenomena, the nonlinear scattering phenomena, the soliton resolution conjecture, the stability and instability of traveling waves.

Publications and preprints:

• arXiv:2310.13693: Matrix solutions of the cubic Szegő equation on the real line, preprint.

• hal-04227081: The intertwined derivative Schrödinger system of Calogero--Moser--Sutherland type, Lett. Math. Phys. 114, 74. (2024). 

• arXiv:2309.12136: The matrix Szegő equation, preprint.

• arXiv:2004.10007: Complete integrability of the Benjamin--Ono equation on the multi-soliton manifolds, Commun. Math.  Phys.  383 (2), 1051-1092 

• arXiv:1912.10889: Filtering the L^2-critical focusing Schrödinger equation, Discrete Contin. Dyn. Syst. A 40, (2020) No. 10, 5973-5990. 

• arXiv:1904.09182: Long time behavior of the NLS-Szegö equation, Dyn. Partial Differ. Equ. 16 (2019), No.4, 325-357.

• Sur le rayon des solutions analytiques de l'équation de Schrödinger non linéaire défocalisante (pdf)

• Sur le domaine d’analyticité de la solution de l’équation de Schrödinger non linéaire intégrable (Master Thesis)

Training:

2016-2020 : PhD of Mathematics, Université Paris-Saclay

                       Advisor: Patrick Gérard

​2013-2016 : Ecole Normale Supérieure (Paris)