Hui Zhu 朱暉

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.

Experience

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, Mathematical Sciences Research Institute. Mentor: Daniel Tataru.
2020--2023. James Van Loo Postdoctoral Fellow, University of Michigan. PI: Zaher Hani.
2019 Autumn. Viterbi Postdoctoral Fellow, Mathematical Sciences Research Institute. Mentor: Daniel Tataru.
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. Advisor: Benjamin Texier.
2013--2016. Diplôme de l'ÉNS, École Normale Supérieure. Mentors: Thomas Alazard & Lie Fu.
2010--2014. B.Sc. in Mathematics and Applied Mathematics, Tsinghua University (清華大學).

Publications

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 (2026). DOI: 10.1017/fms.2026.10199; 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; zbl: 8012018.
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; zbl: 7946993.
Propagation of singularities for gravity-capillary water waves. Analysis & PDE (2024). DOI: 10.2140/apde.2024.17.281; arXiv: 1810.09339; zbl: 1536.35012.
Control of three dimensional water waves. Archive for Rational Mechanics and Analysis (2020). DOI: 10.1007/s00205-019-01485-3; arXiv: 1712.06130; zbl: 1431.76034.
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; zbl: 1421.35032.
Control, stabilization and propagation of singularities for dispersive PDEs. Ph.D. Thesis. DOI: 10.70675/9465cbe8zc54cz4858zae41z0dcac7846785; HAL: tel-02122881.