Jinghao Cao
Caltech (US) June 2026
News
Starting September 2026, I will be joining Imperial College London as a Borland Fellow, mentored by Richard Craster.
I am a von Kármán Instructor in Computing and Mathematical Sciences at Caltech, hosted by Professor Oscar Bruno.
My research is on numerical methods and analysis of PDEs.
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
Publications
- J. Cao. Fourier–Galerkin Methods for Subwavelength Resonances in 2D Acoustic Metamaterials. arXiv preprint arXiv:2605.23251, 2026.
- 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.
- 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.
- J. Cao, J. Nick. Exceptional Point Enhanced Small Particle Detection in Systems of Subwavelength Resonators. arXiv preprint arXiv:2505.01646, 2025.
- O. Bruno, J. Cao. Fast Singular-Kernel Convolution on General Non-Smooth Domains via Truncated Fourier Filtering. arXiv preprint arXiv:2504.18699, 2025.
- 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.
- 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.
- H. Ammari, J. Cao, E. O. Hiltunen, L. Rueff. Transmission Properties of Time-Dependent One-Dimensional Metamaterials. Journal of Mathematical Physics 64 (12), 2023.
- H. Ammari, S. Barandun, J. Cao, F. Feppon. Edge Modes in Subwavelength Resonators in One Dimension. Multiscale Modeling & Simulation 21 (3), 964–992, 2023.
- H. Ammari, J. Cao, X. Zeng. Transmission Properties of Space-Time Modulated Metamaterials. Studies in Applied Mathematics 150 (2), 558–581, 2023.
- H. Ammari, J. Cao, E. O. Hiltunen. Nonreciprocal Wave Propagation in Space-Time Modulated Media. Multiscale Modeling & Simulation 20 (4), 1228–1250, 2022.
- H. Ammari, J. Cao. Unidirectional Edge Modes in Time-Modulated Metamaterials. Proceedings of the Royal Society A 478 (2265), 20220395, 2022.
Talks, Visits, and Conferences
2026
- UK Metamaterial Network Seminar, invited speaker. UK, 05/2026
- Applied Mathematics Seminar, invited speaker. Hunter College, New York, US, 04/2026
2025
- Special Topics Seminar, invited speaker. ETH Zurich, Switzerland, 05/2025
- Southern California Applied Mathematics Symposium, chair and speaker of a minisymposium, poster evaluator. Riverside, US, 04/2025
- Teaching Seminar in Mathematics, invited speaker on innovative teaching using STACK. Caltech, US, 03/2025
2024
- SIAM Seminar, invited speaker. Caltech, US, 11/2024
- International Conference on Mathematical and Numerical Aspects of Wave Propagation, contributed presentation. Berlin, Germany, 07/2024
- Bernoulli’s Tafelrunde, invited speaker. University of Basel, Switzerland, 03/2024
- Zurich Graduate Colloquium in Applied Mathematics, invited speaker. Zurich, Switzerland, 03/2024
2023
- PDE Retreat, participant. Disentis, Switzerland, 08/2023
- CNRS–Imperial Workshop on Waves and Imaging, contributed presentation. London, UK, 08/2023
- Mathematical Aspects of Condensed Matter Physics Conference, contributed presentation. ETH Zurich, Switzerland, 07/2023
- British Applied Mathematics Colloquium, invited minisymposium speaker. Bristol, UK, 04/2023
- Prof. R. Craster’s Group Seminar, invited group presentation. London, UK, 03/2023
2022
- UK Metamaterials Network Summer School, plenary speaker. St Andrews, UK, 08/2022
- PDE Retreat, contributed presentation. Disentis, Switzerland, 08/2022
- Summer School on Computational Mathematics, participant. Gdańsk, Poland, 07/2022
- Mathematical Challenges in Quantum Mechanics, contributed presentation. Como, Italy, 06/2022