Hailiang Liu

Hailiang Liu is a Professor of Mathematics at Iowa State University, with a courtesy appointment in Computer Science and membership in the Translational AI Center (TrAC). He also serves as the Data Science/AI Coordinator in the Department of Mathematics. Currently, he is on leave as a Program Director in the Applied Mathematics Program at the National Science Foundation (NSF).

Dr. Liu holds a Ph.D. in Applied Mathematics from the Chinese Academy of Sciences (1995), an M.Sc. from Tsinghua University (1988), and a B.Sc. in Math Education from Henan Normal University (1984).

His research focuses on computational and applied mathematics, including mathematical modeling via PDEs, numerical methods, scientific computing, and their intersections with deep learning and data-driven approaches. Key areas include:

• Deep Learning: Neural ODEs, selection dynamics, and optimal transport-based algorithms
• Mathematical Biology: Population dynamics, ecological dispersal, and aggregation modeling
• Computational Methods: Discontinuous Galerkin (DG) schemes, energy-stable numerical methods, and Gaussian beam methods
• Kinetic Theory: Photon scattering, Bose-Einstein condensation, and hyperbolic balance laws

His work has been supported by the NSF and DOE. Notable contributions include structure-preserving numerical schemes, critical threshold analysis in hyperbolic systems, and data-driven optimal control frameworks.