CMX Lunch Seminar

Metamaterials enable wave phenomena far beyond natural materials, yet their analysis requires tools that capture high-contrast resonances, time modulation, and non-Hermitian effects. I will present recent progress on the PDE analysis of these systems, highlighting asymptotic methods and spectral theory for resonant and modulated media. On the computational side, I will introduce fast Fourier-based quadrature schemes and accelerated solvers for boundary integral formulations. These approaches make large-scale simulations of complex metamaterials feasible while retaining analytical precision. Together, they bridge rigorous mathematics and scalable computation, offering predictive models for applications in acoustics, photonics, and sustainable materials design.