Mathematician specialized in Analysis and PDEs
Research Associate @ NYU Abu Dhabi
ORCID: 0000-0003-1716-1807
EMAIL: hui.zhu@nyu.edu
ADDRESS: Computational Research Building (A2), NYU Abu Dhabi, Saadiyat Island, P.O. Box 129188, Abu Dhabi, UAE.
Research Interests: Harmonic and Microlocal Analysis; Control Theory; Scattering Theory; Wave Kinetic Theory; Fluid Dynamics.
2016--2019, Ph.D. in Fundamental Mathematics, Université Paris-Saclay; Advisors: Thomas Alazard & Nicolas Burq.
2014--2015, Master 2 in PDEs and Scientific Calculation, Université Paris-Sud; Advisor: Nicolas Burq.
2013--2014, Master 1 in Mathematics, Université Paris Diderot.
2013--2016, Diplôme de l'ÉNS, École Normale Supérieure; Mentors: Thomas Alazard & Lie Fu & Benjamin Texier.
2010--2014, B.Sc. in Mathematics and Applied Mathematics, Tsinghua University.
2024--now, Research Associate, New York University Abu Dhabi; PI: Nader Masmoudi.
2023--2024, Research Associate, Imperial College London; PI: Pierre Germain.
2021 Spring, Berlekamp Postdoctoral Fellow, MSRI; Mentor: Daniel Tataru.
2020--2023, James Van Loo Postdoctoral Fellow, University of Michigan; PI: Zaher Hani.
2019 Autumn, Viterbi Postdoctoral Fellow, MSRI; Mentor: Daniel Tataru.
See also: arXiv, Google Scholar, MathSciNet.
Observability of Schrödinger propagators on tori in rough settings. With Nicolas Burq. arXiv: 2509.23965
Resolvent bounds imply observability from measurable time sets for Schrödinger equations. With Nicolas Burq. arXiv: 2510.24517
Trace and observability inequalities for Laplace eigenfunctions on the torus. With Nicolas Burq, Pierre Germain, Massimo Sorella. Forum of Mathematics, Sigma (to appear). arXiv: 2507.16599
On the vanishing of eigenfunctions of the Laplacian on tori. With Pierre Germain, Iván Moyano. American Journal of Mathematics (to appear). arXiv: 2406.19925
On universality for the kinetic wave equation. With Pierre Germain. Nonlinearity (2025). DOI: 10.1088/1361-6544/adbaaa; arXiv: 2402.14773
Inhomogeneous turbulence for the Wick nonlinear Schrödinger equation. With Zaher Hani, Jalal Shatah. Communications on Pure and Applied Mathematics (2024). DOI: 10.1002/cpa.22198; arXiv: 2309.12037
Propagation of singularities for gravity-capillary water waves. Analysis & PDE (2024). DOI: 10.2140/apde.2024.17.281; arXiv: 1810.09339
Control of three dimensional water waves. Archive for Rational Mechanics and Analysis (2020). DOI: 10.1007/s00205-019-01485-3; arXiv: 1712.06130
Stabilization of damped waves on spheres and Zoll surfaces of revolution. ESAIM: Control, Optimisation and Calculus of Variations (2018). DOI: 10.1051/cocv/2017073; arXiv: 1604.05218
Control, stabilization and propagation of singularities for dispersive PDEs. Ph.D. Thesis. HAL: tel-02122881
