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
On the bifurcation of a Dirac point in a photonic waveguide without band gap opening (with Hai Zhang), accepted by J. Func. Anal.
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.
Topological Interface Modes in Aperiodic Subwavelength Resonator Chains （with Habib Ammari and Alexander Uhlmann), arXiv: 2511.18363.
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.