My research lies in the intersection of partial differential equations and mathematical physics. More precisely, I focus on studying wave propagation in metamaterials under the subwavelength regime and the properties of the electromagnetic field scattered by these structures. In addition, I am interested in inverse problems that arise in electromagnetism.
List of publications
Preprints
K. Alexopoulos and J. Garnier. Asymptotics-guided learning and symbolic regression for dispersive resonances. arXiv:2608.16152, 2026. Submitted. (link)
K. Alexopoulos and J. Garnier. Reduced-order modeling for electromagnetic inverse problems: a layered medium benchmark. arXiv:2608.03996, 2026. Submitted. (link)
K. Alexopoulos, B. Davies and P. Millien. Non-singular hotspots between closely spaced high-index nanoparticles. arXiv:2607.24204, 2026. Submitted. (link)
Published
K. Alexopoulos, B. Davies, and E. O. Hiltunen. Topological interface modes in systems with damping. SIAM Journal on Applied Mathematics, 85(4):1500–1518, 2025. (link)
K. Alexopoulos and B. Davies. Topologically protected modes in dispersive materials: the case of undamped systems. Multiscale Modeling & Simulation, 23(1), 611-639. (link)
K. Alexopoulos and B. Davies. The effect of singularities and damping on the spectra of photonic crystals. Journal of Mathematical Physics, 65(8):081510, 2024. (Editor's Pick). (link)
K. Alexopoulos and B. Davies. A mathematical design strategy for highly dispersive resonator systems. Mathematical Methods in the Applied Sciences, pages 1-26, 2023. (Top Viewed Article). (link)
K. Alexopoulos and B. Davies. Asymptotic analysis of subwavelength halide perovskite resonators. Partial Differential Equations and Applications, 3(4):1–28, 2022. (link)
Links: Google Scholar, Research Gate, arXiv, GitHub.