Jiayu QIU

Welcome to my website. Currently I'm a Postdoc Research Fellow at ETH Zurich, mentored by Professor Habib Ammari. Prior to that, I received my Ph.D and M.Phil in mathematics at HKUST, advised by Professor Hai Zhang.

Education

• 2016 - 2020, Bachelor in mathematics, Zhejiang University.

• 2020 - 2022, MPhil in mathematics, Hong Kong University of Science and Technology (advisor: Hai Zhang).

• 2022 - 2025, PhD in mathematics, Hong Kong University of Science and Technology (advisor: Hai Zhang).

Employment

• 2025 - present, Postdoc Research Fellow, Department of Mathematics, ETH Zurich. (mentor: Habib Ammari)

Research interests

I mainly work on mathematical physics, including the localization phenomenon and resonance in various physical systems.

Publications

1. Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions (with Habib Ammari), arXiv: 2509.04184.

2. Generalized bulk-interface correspondence for non-quantized spin transport (with Hai Zhang), arXiv: 2505.16331.

3. Bulk-edge correspondence in finite photonic structures (with Hai Zhang), arXiv: 2501.15531.

4. A Mathematical Theory of Integer Quantum Hall Effect in Photonics (with Hai Zhang), arXiv: 2405.17200.

5. Interface Modes in Honeycomb Topological Photonic Structures with Broken Reflection Symmetry (with Wei Li, Junshan Lin and Hai Zhang), arXiv:2405.03238.

6. On the bifurcation of a Dirac point in a photonic waveguide without band gap opening (with Hai Zhang), arXiv:2310.17964.

7. Mathematical theory for the interface mode in a waveguide bifurcated from a Dirac point (with Peng Xie, Junshan Lin and Hai Zhang), arXiv:2304.10843.

8. Stochastic Galerkin Methods for Time-Dependent Radiative Transfer Equations with Uncertain Coefficients (with Chuqi Zheng, Qing Li and Xinghui Zhong), Journal of Scientific Computing 94 (3), 68.

Teaching

• MATH2033 Mathematical Analysis, TA, 2021 Spring.

• MATH3033 Real Analysis, TA, 2021 Fall.

• MATH2023 Multivariable Calculus, TA, 2022 Spring.

• MATH3033 Real Analysis, TA, 2022 Fall (Best TA awardee).

• MATH4051 Theory of Ordinary Differential Equations, TA, 2023 Spring.

• MATH2011 Introduction to Multivariable Calculus, TA, 2023 Fall (Best TA awardee).

• MATH2011 Introduction to Multivariable Calculus, TA, 2024 Spring.

Awards

• (2025) Epsilon Fund Award, HKUST

• (2025) Redbird Academic Excellence Award, HKUST.

• (2024) Redbird Academic Excellence Award, HKUST.

• (2023) Best TA awardee, HKUST.

• (2022) Best TA awardee, HKUST.

• (2019) First-class scholarship, Zhejiang University.

Selected Invited talks

• (2022) Hong Kong Workshops on Inverse Problems and Imaging, HKUST, Hong Kong.

• (2023) Minisymposium on analytical and computational aspects of topological photonics, ICIAM 2023, Tokyo.

• (2023) Minisymposium on mathematical theory and computational methods for wave propagation in structured media, HKSIAM 2023, Hong Kong.

• (2023) The MSU-BIT Workshop on Analysis and Computation, Shenzhen.

• (2024) Minisymposium on analysis and computation of waves, ICAM 2024, Hong Kong.

• (2024) Minisymposium on topologically protected wave motion: theory and computation, NWCS 2024, Baltimore.