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I am a second year PhD student at ETH Zürich in the Seminar of Applied Math under the supervision of Prof. Habib Ammari. My research focuses on the behavior of waves in complex media. Currently, I also serve as co-president of VMM, the association of the academic mid-level faculty at D-MATH as well as vice group organiser of the Seminar of Applied Mathemathics.
CV
Education
PhD in Applied Mathematics
ETH Zürich, Seminar of Applied Math
Supervisor: Prof. Habib Ammari
Visiting Student
Imperial College London
Supervisors: Prof. Richard Craster, Dr. Bryn Davies
MSc in Applied Mathematics
ETH Zürich
BSc in Mathematics
ETH Zürich
Featured Research
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High-frequency homogenization for quasiperiodic operators
Elena Cherkaev, Bryn Davies, Sébastien Guenneau, Clemens Thalhammer, Niklas Wellander
arXiv preprint (2026)
We study the spectral asymptotics of elliptic operators with quasiperiodic coefficients, establishing homogenization results in the low-frequency regime and characterising bulk and boundary layer spectra in the high-frequency regime.
homogenization spectral theory quasiperiodic operators two-scale convergence -
Real-Space Formulation of the Zak Phase via Weyl m-Functions
Habib Ammari, Clemens Thalhammer
Journal of Physics A: Mathematical and Theoretical (2026)
We develop a real-space approach to computing the Zak phase using Weyl m-functions, providing new insights into the topological characterization of one-dimensional periodic systems.
zak phase weyl m-functions topological phases
Recent Teaching
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Mathematical and Computational Methods in Photonics
ETH Zürich Spring 2025 Head Teaching AssistantPhotonic Crystals Asymptotic Analysis Layer Potential Techniques