Research interests
I mainly work on mathematical physics, including the localization phenomenon and resonance in various physical systems.
Here is my Google Scholar page.
Research interests
I mainly work on mathematical physics, including the localization phenomenon and resonance in various physical systems.
Here is my Google Scholar page.
Publications
Topological Interface Modes in Aperiodic Subwavelength Resonator Chains （with Habib Ammari and Alexander Uhlmann), accepted by J. Phys. A.
On the bifurcation of a Dirac point in a photonic waveguide without band gap opening (with Hai Zhang), J. Funct. Anal, 291(1):111472.
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.
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
Symmetry-protected Interface Modes Bifurcated from Double Dirac Cones (with Habib Ammari), arXiv: 2603.19442.
Non-Hermitian Fabry-Pérot Resonances (with Habib Ammari, Erik Orvehed Hiltunen, Bowen Li, Ping Liu, Yingjie Shao, Alexander Uhlmann). arXiv: 2601.19855.
Bulk-Edge Correspondence for Finite Two-dimensional Ergodic Disordered Systems (with Habib Ammari), arXiv: 2512.11092.
Mathematical Theory for Photonic Hall Effect in Honeycomb Photonic Crystals (with Wei Li, Junshan Lin, Jiayu Qiu, Hai Zhang), arXiv: 2512.24477.
Analysis of nonlinear resonances in resonator crystals: Tight-binding approximation and existence of subwavelength soliton-like solutions (with Habib Ammari), arXiv: 2509.04184.
Generalized bulk-interface correspondence for non-quantized spin transport (with Hai Zhang), arXiv: 2505.16331.
Bulk-edge correspondence in finite photonic structures (with Hai Zhang), arXiv: 2501.15531.
A Mathematical Theory of Integer Quantum Hall Effect in Photonics (with Hai Zhang), arXiv: 2405.17200.
Interface Modes in Honeycomb Topological Photonic Structures with Broken Reflection Symmetry (with Wei Li, Junshan Lin and Hai Zhang), arXiv:2405.03238.