Publications

17)  (With S. Cao), Global well-posedness of the stochastic Abelian-Higgs equations in two dimensions, March 2024, Preprint. 

16) Invariant Gibbs measures for (1+1)-dimensional wave maps into Lie groups, September 2023, Preprint.

15) (With S. Cao), A para-controlled approach to the stochastic Yang-Mills equation in two dimensions, May 2023, Preprint.

14) (With I. Rodnianski), Well-posedness of a gauge-covariant wave equation with space-time white noise forcing, February 2023, Preprint.

13) On Gibbs measures and topological solitons of exterior equivariant wave maps, To appear in  Rev. Mat. Iberoam. 

12) (With Y. Deng, A. Nahmod, and H. Yue),  Invariant Gibbs measures for the three dimensional cubic nonlinear wave equation , To appear in Inventiones Mathematicae.

11) (With J. Lührmann and  G. Staffilani), The wave maps equation and Brownian paths , Comm. Math. Phys. 405 (2024), no. 3, Paper No. 60. 

10)  (With D. Mendelson), An eigensystem approach to Anderson localization for multi-particle systems, Ann. Inst. Henri Poincaré D, Vol. 22 (2021), No. 10, p. 3255-3290. 

9) Invariant Gibbs measures for the three-dimensional wave equation with a Hartree nonlinearity II: Dynamics, To appear in  J. Eur. Math. Soc. 

8) Invariant Gibbs measures for the three-dimensional wave equation with a Hartree nonlinearity I:  Measures, Stoch. Partial Differ. Equ. Anal. Comput., Vol. 10 (2022), No. 1, p. 1-89. 

7) Stable blowup for the focusing energy critical nonlinear wave equation under random perturbations, Commun. Partial. Differ. Equ. 45 (2020), no. 12, p. 1755-1777.

6) (With R. Killip and M. Visan), Global well-posedness for the fifth-order KdV equation in $H^{-1}(\mathbb{R})$, Annals of PDE  7 (2021),  no. 2, Paper No. 21, 46 pp.

5) Almost sure scattering for the energy critical nonlinear wave equation, Amer. J. Math., Volume 143, No. 6, Dec. 2021, p. 1931-1982.

4) Almost sure local well-posedness for a derivative nonlinear wave equation, Int. Math. Res. Not. IMRN 2021, no. 11,  p. 8657–8697.

3) Almost sure scattering for the radial energy critical nonlinear wave equation in three dimensions, Anal. PDE., Vol. 13 (2020), No. 4, p. 1011-1050.

2) (With D. Cremers, F. Krahmer, and M. Moeller), The homotopy method revisited: Computing solution paths of  $\ell_1$-regularized problems, Mathematics of Computation, Volume 81 (2018), p. 2343–2364.

1)  (With L. Giacomelli, H. Knüpfer, and F. Otto), Corrigendum to "Smooth zero-contact-angle solutions to a thin-film equation around the steady state,  Journal of Differential Equations, Volume 261 (2016), p. 1622-1635.