Research Areas
Ph.D student
Research Interests
PDEs, Water Waves, Dynamical Systems
Awards and Honors
Teacher ranked as excellent by their students: Math 241 Calculus III, UIUC, 2023
Government Fellowship for Studying Abroad: $ 48000 from Ministry of Education Taiwan, 2020-2022
Highlighted Publications
- Hsiao, T.-Y., Maspero, A., Full Benjamin-Feir instability of capillary-gravity Stokes waves in finite depth, https://arxiv.org/abs/2510.23456
- Hsiao, T.-Y., Lo, Y.-F., Zhu, C., On the equivalence of synchronization definitions in the Kuramoto flow: A unified approach, http://arxiv.org/abs/2503.19781
- Chen, C.-C., Hsiao, T.-Y., Wang, S.-C., Savanna dynamics with grazing, browsing, and migration effects. SIAM Journal on Applied Dynamical Systems 2025, 24(4), 2950-2976. doi.org/10.1137/25M1725693
- Hsiao, T.-Y., Hur, V.M., Yang, Z., Unstable stokes waves in constant vorticity flows, in preparation.
- Chen, K.-Y., Hsiao, T.-Y., Sinambela, D., Two-layer capillary-gravity solitary waves, in preparation.
- Chen, S.-H., Hsia, C.-H., Hsiao, T.-Y., Complete and partial synchronization of two-group and three-group Kuramoto oscillators. SIAM Journal on Applied Dynamical Systems, 2024, 23(3), 1720-1765. doi.org/10.1137/23M158622.
- Hsiao, T.-Y., Lo, Y.-F., Wang, W., Synchronization in the quaternionic Kuramoto model. arXiv:2309.01893v3. 2023.
- Hsiao, T.-Y., Estimates of population size for traveling wave solutions of non-local Lotka-Volterra competition systems. Journal of Dynamics and Differential Equations 34, 1969–1996 2022. doi.org/10.1007/s10884-021-10109-y.
- Chen, C.-C., Hsiao, T.-Y., Hung, L.-C., Discrete N-barrier maximum principle for lattice systems. Discrete & Continuous Dynamical Systems: Series A, 2020, 40(1): 153-187. Doi: 10.3934/dcds.2020007.