Jinghao Cao

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Caltech (US) June 2026

Jinghao Cao | Instructor at Caltech

I am a Borland Fellow in Applied Mathematics and Mathematical Physics at Imperial College London. My fellowship host is Professor Richard Craster. I working on scientific computing and analysis of partial differential equations targeting emergent areas of mathematical physics such as metamaterials.

Previously, I was 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).

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