Jinghao Cao

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Caltech (US) June 2026

Jinghao Cao | Instructor at Caltech

News

Starting September 2026, I will be joining Imperial College London as a Borland Fellow, mentored by Professor Richard Craster.

I am a von Kármán Instructor in Computing and Mathematical Sciences at Caltech, hosted by Professor Oscar Bruno.

Before Caltech, I obtained my doctoral degree in Applied Mathematics from ETH Zurich (Switzerland) in 2024, supervised by Professor Habib Ammari. My second advisor was Professor Alessio Figalli.

Prior to that, I earned my Bachelor’s (2017–2021) and Master’s (2021–2022) degrees in Mathematics with distinction from ETH Zurich, including a year abroad (2019–2020) at Imperial College London (UK).

I am fluent in Chinese, English, and German. My Chinese name is 曹景皓 (Cáo Jǐng Hào).

My research is on numerical methods and analysis of PDEs. My research interest inlcudes the design of advanced metamaterials through a combination of mathematical theory and computation. Building on a background from ETH, I utilize the asymptotic analysis of partial differential equations to model wave behavior in metamaterials. Additionally, my work at Caltech leverages fast singular-kernel solvers to handle irregular domains and complex geometries efficiently. My research vision is to extend these analytical models into realistic, large-scale computational pipelines for next-generation metamaterial design.

Contact: jinghao.cao [at] caltech [dot] edu

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Publications and Preprints

  1. J. Cao. Fourier–Galerkin Methods for Subwavelength Resonances in 2D Acoustic Metamaterials. arXiv preprint arXiv:2605.23251, 2026.
  2. H. Ammari, J. Cao, E. O. Hiltunen, L. Rueff. Effective Medium Theory for Time-Modulated Subwavelength Resonators. SIAM Journal on Applied Mathematics 86 (1), 305–326, 2026.
  3. H. Ammari, S. Barandun, J. Cao, B. Davies, E. O. Hiltunen, P. Liu. The Non-Hermitian Skin Effect with Three-Dimensional Long-Range Coupling. Journal of the European Mathematical Society, 2025.
  4. J. Cao, J. Nick. Exceptional Point Enhanced Small Particle Detection in Systems of Subwavelength Resonators. arXiv preprint arXiv:2505.01646, 2025.
  5. O. Bruno, J. Cao. Fast Singular-Kernel Convolution on General Non-Smooth Domains via Truncated Fourier Filtering. arXiv preprint arXiv:2504.18699, 2025.
  6. H. Ammari, S. Barandun, J. Cao, B. Davies, E. O. Hiltunen. Mathematical Foundations of the Non-Hermitian Skin Effect. Archive for Rational Mechanics and Analysis 248 (3), 33, 2024.
  7. H. Ammari, J. Cao, E. O. Hiltunen, L. Rueff. Scattering from Time-Modulated Subwavelength Resonators. Proceedings of the Royal Society A 480 (2289), 20240177, 2024.
  8. H. Ammari, J. Cao, E. O. Hiltunen, L. Rueff. Transmission Properties of Time-Dependent One-Dimensional Metamaterials. Journal of Mathematical Physics 64 (12), 2023.
  9. H. Ammari, S. Barandun, J. Cao, F. Feppon. Edge Modes in Subwavelength Resonators in One Dimension. Multiscale Modeling & Simulation 21 (3), 964–992, 2023.
  10. H. Ammari, J. Cao, X. Zeng. Transmission Properties of Space-Time Modulated Metamaterials. Studies in Applied Mathematics 150 (2), 558–581, 2023.
  11. H. Ammari, J. Cao, E. O. Hiltunen. Nonreciprocal Wave Propagation in Space-Time Modulated Media. Multiscale Modeling & Simulation 20 (4), 1228–1250, 2022.
  12. H. Ammari, J. Cao. Unidirectional Edge Modes in Time-Modulated Metamaterials. Proceedings of the Royal Society A 478 (2265), 20220395, 2022.

Teaching Experiences

Talks, Visits, and Conferences