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I am a first 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.
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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Real-Space Formulation of the Zak Phase via Weyl m-Functions
Habib Ammari, Clemens Thalhammer
arXiv preprint (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 -
Mathematical Origin of the Non-Hermitian Skin Effect
Habib Ammari, Silvio Barandun, Yannick De Bruijn, Ping Liu, Clemens Thalhammer
Journal of Physics A: Mathematical and Theoretical (2025)
We investigate the spectral properties of tridiagonal k-Toeplitz matrices and reveal the topological origins of the non-Hermitian skin effect, providing new insights into non-Hermitian quantum mechanics and condensed matter physics.
non-hermitian physics spectral theory topological physics
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