Hui Zhu
Mathematician specialized in Analysis and PDEs
Research Associate @ NYU Abu Dhabi
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Contact & Other Information
Email: hui.zhu@nyu.edu
Office: A2, NYU Abu Dhabi, Saadiyat Island, P.O. Box 129188, Abu Dhabi, UAE
Links: ORCiD, ResearchGate, Google Scholar, arXiv, MathSciNet, Math Genealogy, LinkedIn, zbMath
Education & Employment Experience
Education and Degrees
Ph.D. in Fundamental Mathematics. Université Paris-Saclay, 2016–2019 (Advisors: Thomas Alazard & Nicolas Burq)
Master 2 in PDEs and Scientific Calculation. Université Paris-Sud, 2014–2015
Master 1 in Mathematics. Université Paris Diderot, 2013–2014
ÉNS Diploma in Mathematics. École Normale Supérieure, 2013–2016
B.Sc. in Mathematics & Applied Mathematics. Tsinghua University, 2010–2014
Academic Appointments
Research Associate in Mathematics. NYU Abu Dhabi, 2024–Present
Research Associate in Mathematics. Imperial College London, 2023–2024
Berlekamp Postdoctoral Fellow. MSRI, Spring 2021
James Van Loo Postdoctoral Fellow. University of Michigan, 2020–2023
Viterbi Postdoctoral Fellow. MSRI, Fall 2019
Research Portfolio & Publication
Research Interests
I work at the interface of harmonic analysis, microlocal analysis and partial differential equations, with particular interests in geometric control theory, scattering theory, wave kinetic theory, quantum limits, and fluid mechanics.
List of Publications
Trace and observability inequalities for Laplace eigenfunctions on the torus. w/ N. Burq, P. Germain, M. Sorella. arXiv: 2507.16599
Observability of Schrödinger propagators on tori in rough settings. w/ N. Burq. arXiv: 2509.23965
Resolvent bounds imply observability from measurable time sets for Schrödinger equations. w/ N. Burq. arXiv: 2510.24517
On the vanishing of eigenfunctions of the Laplacian on tori. w/ P. Germain, I. Moyano. Amer. J. Math. (to appear). arXiv: 2406.19925
On universality for the kinetic wave equation. w/ P. Germain. Nonlinearity (2025). DOI: 10.1088/1361-6544/adbaaa
Inhomogeneous turbulence for the Wick nonlinear Schrödinger equation. w/ Z. Hani, J. Shatah. Commun. Pure Appl. Math. (2024). DOI: 10.1002/cpa.22198
Propagation of singularities for gravity-capillary water waves. Anal. PDE (2024). DOI: 10.2140/apde.2024.17.281
Control of three dimensional water waves. Arch. Ration. Mech. Anal. (2020). DOI: 10.1007/s00205-019-01485-3
Stabilization of damped waves on spheres and Zoll surfaces of revolution. ESAIM: COCV (2018). DOI: 10.1051/cocv/2017073
Control, stabilization and propagation of singularities for dispersive PDEs. Thesis. HAL: tel-02122881
Teaching & Mentoring
List of Courses Taught
Math 454: Boundary Value Problems for PDEs. University of Michigan, Winter 2023.
Math215: Multivariable and Vector Calculus. University of Michigan, Fall 2022.
Math 454: Boundary Value Problems for PDEs. University of Michigan, Fall 2021.
Math 451: Advanced Calculus I. University of Michigan, Fall 2020.
Math216: Introduction to Differential Equations. University of Michigan, Winter 2020.
Microlocal Analysis and Applications to Control Theory. Analysis Summer School. Tsinghua University, Aug. 2017.
Math 191: Mathématiques de la modélisation. Université Paris-Sud, 2018.
Math 191: Mathématiques de la modélisation. Université Paris-Sud, 2017.
Math 398: Cycle rentrée ingénieur. Calculus and linear algebra. Université Paris-Sud, 2017.
Math 191: Mathématiques de la modélisation. Université Paris-Sud, 2016.
Math 398: Cycle rentrée ingénieur. Calculus and linear algebra. Université Paris-Sud, 2016.
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