Scholar
Yixuan Wang
Google Scholar ID: eHu9XuUAAAAJ
Applied and Computational Mathematics, Caltech
Citations & Impact
Citations
2,772
H-index
9
i10-index
8
Publications
20
Co-authors
14
list available
Contact
Publications
Browse publications on Google Scholar (top-right) ↗
Resume (English only)
Academic Achievements
- Published several papers on topics such as existence and stability of solutions to PDEs, high-precision numerical methods, etc., some of which have been accepted or published in top-tier journals. As of September 29, 2025, has accumulated 2707 citations.
Research Experience
- Conducts research into understanding singularity formation in PDEs, develops high-precision machine learning tools including neural networks and neural operators, and pioneers the application of Kolmogorov–Arnold Network (KAN).
Education
- Received a B.S. degree in mathematics summa cum laude from Peking University (PKU) in 2020, with Prof. Ruo Li as undergraduate supervisor; currently a final year PhD student in Computing + Mathematical Sciences at California Institute of Technology (Caltech), supervised by Prof. Thomas Yizhao Hou, also works with Prof. Anima Anandkumar and Prof. Andrew Stuart.
Background
- Research interests lie in Partial Differential Equations, AI for Science, Applied Probability, and Numerical Analysis. Develops analytical and computational frameworks to understand singularity formation in PDEs, motivated by the Clay prize problem on blowup of Navier-Stokes equations.
Miscellany
- Actively looking for job opportunities; open to discussions and possible collaborations on interesting topics.
