My research focuses on mathematical optimization, scientific computing, nonlinear systems, and topological photonics.
Current work emphasizes semidefinite programming methods for photonic crystal band-gap design, finite element methods for wave propagation problems, and the development of computational tools for topological photonic materials.
Research activities are organized into the following areas:
• Optimization
• Nonlinear Systems
• Topological Photonics
• Research Statement
Please use the subpages to explore each research area in greater detail.