• 2021.08- present, Assistant Professor, ShanghaiTech University
• 2018.09-2021.05, Assistant Professor(NTT), University of Southern California
• 2012.09-2018.09, Ph.D in Mathematics, University of Massachusetts Amherst
My research interests include Nonlinear dispersive PDEs in both deterministic and probabilistic settings.
 Invariant Gibbs measure and global strong solutions for the Hartree NLS equation in dimension three (with Y. Deng and A. Nahmod). Journal of Mathematical Physics 62, no. 3 (2021): 031514.
 Optimal local well-posedness for the periodic derivative nonlinear Schrödinger equation (with Y. Deng and A. Nahmod). Communications in Mathematical Physics 384, (2021): 1061–1107.
 Global well-posedness for the energy-critical focusing nonlinear Schrödinger equation on T^4 . Journal of Differential Equations 280 (2021): 754-804
 Almost surely well-posedness for the cubic nonlinear Schrödinger equation in the supercritical regime on T^d , d ≥ 3. Stochastics and Partial Differential Equations: Analysis and Computations 9, (2021): 243–294.
 Global Well-posedness for the focusing cubic NLS on the product space R × T^3 (with X. Yu and Z. Zhao). SIAM Journal on Mathematical Analysis 53, no. 2 (2021): 2243-2274.
 Random tensors, propagation of randomness, and nonlinear dispersive equations (with Y. Deng and A. Nahmod). Invent. math. (2021). https://doi.org/10.1007/s00222-021-01084-8.
 On the global well-posedness for the periodic quintic nonlinear Schrödinger equation (with X. Yu). arXiv:2011.12925. Submitted.
 Almost sure existence of global weak solutions to the Boussinesq equations (with W. Wang). Dynamics of Partial Differential Equations 17, no. 2, 165–183 (2020).
 Invariant Gibbs measures and global strong solutions for nonlinear Schrödinger equations in dimension two (with Y. Deng and A. Nahmod). arXiv:1910.08492. Submitted.
 Self trapping transition for a nonlinear impurity within a linear chain (with M. Molina, P. Kevrekidis, and N. Karachalios). Journal of Mathematical Physics 55, no. 10 (2014): 102703.
 Well-posedness for the cubic nonlinear Schrödinger equations on tori, Doctoral Dissertation. 2018.
Office: S514, School of Creativity & Arts
Personal Website: https://sites.google.com/view/yuehaitian