Jinghao Cao

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Gemmi Pass (Switzerland) July 2024

I am a von Karman Instructor in Computing and Mathematical Sciences at Caltech. I am mentored 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 is Professor Alessio Figalli.

Prior to that, I earned my Bachelor (2017-2021) and Master’s degree (2020-2021) in Mathematics with distinction from ETH Zurich with 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.

You can reach me at jinghao.cao [at] caltech [dot] edu.

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Publications

  1. O Bruno, J Cao. Fast Singular-Kernel Convolution on General Non-Smooth Domains via Truncated Fourier Filtering. arXiv preprint arXiv:2504.18699, 2025.

  2. J Cao, J Nick. Exceptional point enhanced small particle detection in systems of subwavelength resona- tors. arXiv preprint arXiv:2505.01646, 2025.

  3. H Ammari, S Barandun, J Cao, B Davies, EO Hiltunen, P Liu. The non-Hermitian skin effect with three-dimensional long-range coupling. Journal of the European Mathematical Society, 2025.

  4. H Ammari, J Cao, EO Hiltunen, L Rueff. Effective Medium Theory for Time-modulated Subwavelength Resonators. arXiv preprint arXiv:2412.13545, 2024.

  5. H Ammari, S Barandun, J Cao, B Davies, EO Hiltunen. Mathematical foundations of the non-Hermitian skin effect. Archive for Rational Mechanics and Analysis 248 (3), 33, 2024.

  6. H Ammari, J Cao, EO Hiltunen, L Rueff. Scattering from time-modulated subwavelength resonators. Proceedings of the Royal Society A 480 (2289), 20240177, 2024.

  7. H Ammari, J Cao, EO Hiltunen, L Rueff. Transmission properties of time-dependent one-dimensional metamaterials. Journal of Mathematical Physics 64 (12), 2023.

  8. H Ammari, S Barandun, J Cao, F Feppon. Edge modes in subwavelength resonators in one dimension. Multiscale Modeling & Simulation 21 (3), 964-992, 2023.

  9. H Ammari, J Cao, X Zeng. Transmission properties of space-time modulated metamaterials. Studies in Applied Mathematics 150 (2), 558-581, 2023.

  10. H Ammari, J Cao, EO Hiltunen. Nonreciprocal wave propagation in space-time modulated media. Multiscale Modeling & Simulation 20 (4), 1228-1250, 2022.

  11. 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

• Southern California Applied Mathematics Symposium Riverside, US chair and speaker of a minisymposium, poster evaluator 04/2025

• Teaching Seminar in Mathematics Caltech, US invited speaker on innovative teaching using STACK 03/2025

• SIAM Seminar, invited speaker. Caltech, US, 11/2024

• International Conference on Math. and Numerical Aspects of Wave Propagation Berlin, Germany contributed presentation 07/2024

• Bernoullis Tafelrunde, invited speaker. University of Basel, Switzerland, 03/2024

• Zurich Graduate Colloquium in Applied Mathematics, invited speaker. Zurich, Switzerland, 03/2024

• PDE Retreat, participant. Disentis, Switzerland, 08/2023

• Mathematical Aspects of Condensed Matter Physics Conference ETH Zurich, Switzerland contributed presentation 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

• CNRS–Imperial Workshop on Waves and Imaging, contributed presentation. London, UK, 08/2023

• 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