Areas of Interest/Research

• Numerical Analysis of Partial Differential Equations
• Weak Galerkin and Primal-Dual Finite Element Methods
• Discrete Weak Differential Structures and Structure-Preserving Methods
• Low-Regularity Variational and Minimax Formulations
• Approximation Theory for Functions and Operators
• Scientific Machine Learning and Operator Learning
• Inverse Problems and Regularization
• Finite Element Methods and Superconvergence