Research interests

I take interests in many aspects of mathematical physics, including e.g. spectral geometry, localization, and many-body quantum systems.

Here is my Google Scholar page.

Publications

1. Mathematical Theory for Photonic Hall Effect in Honeycomb Photonic Crystals (with Wei Li, Junshan Lin, Jiayu Qiu, Hai Zhang)

accepted by Multiscale Model. Simul.

2. Non-Hermitian Fabry-Pérot Resonances (with Habib Ammari, Erik Orvehed Hiltunen, Bowen Li, Ping Liu, Yingjie Shao, Alexander Uhlmann)

accepted by SIAM J. Appl. Math.

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

accepted by Mem. Eur. Math. Soc.

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

accepted by SIAM J. Math. Anal.

5. Topological Interface Modes in Aperiodic Subwavelength Resonator Chains (with Habib Ammari and Alexander Uhlmann)

accepted by J. Phys. A.

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

J. Funct. Anal, 291(1):111472.

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

Comm. Math. Sci, 26 (Number 3), 749-796.

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.

Preprints

1. The concentration conjecture for Dirac-Coulomb operators (with Habib Ammari), arXiv: 2610.28193

2. On the Dirac Faber-Krahn Conjecture (with Habib Ammari), arXiv: 2610.08665

3. Absence of Absolutely Continuous Spectrum for One-Dimensional Capacitance Operators with Critical Long-Range Interaction (with Habib Ammari), arXiv: 2610.09582.

4. Long-range interactions and Anderson localisation for one-dimensional high-contrast resonator chain (with Habib Ammari, Silvo Barandun, and Alexander Uhlmann), arXiv: 2607.04971.

5. Resolvent Convergence and Patch Approximation for Subwavelength Guided Modes in Non-Periodic Systems of High-Contrast Resonators (with Habib Ammari and Borui Miao), arXiv: 2605.30951.

6. Robustness of Valley-Hall Interface Modes Against Sharp Bending (with Habib Ammari), arXiv: 2605.29485.

7. Symmetry-protected Interface Modes Bifurcated from Double Dirac Cones (with Habib Ammari), arXiv: 2603.19442.

8. Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems (with Habib Ammari), arXiv: 2512.11092.

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

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

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