My Research

Publications

Spectra and pseudospectra of non-Hermitian Toeplitz operators: Eigenvector decay transitions in banded and dense matrices
Yannick De Bruijn Bryn Davies, Sacha Dupuy and Erik Orvehed Hiltunen
Preprint (2025) [Preprint]
Complex Band Structure and localisation transition for tridiagonal non-Hermitian k-Toeplitz operators with defects
Yannick De Bruijn and Erik Orvehed Hiltunen
Preprint (2025) [Preprint]
Complex Brillouin Zone for Localised Modes in Hermitian and Non-Hermitian Problems
Yannick De Bruijn and Erik Orvehed Hiltunen
Preprint (2025) [Preprint]
Complex Band Structure for Subwavelength Evanescent Waves
Yannick De Bruijn and Erik Orvehed Hiltunen
Studies in Applied Mathematics (2025) [Paper] [Preprint]
Spectra and pseudo-spectra of tridiagonal k-Toeplitz matrices and the topological origin of the non-Hermitian skin effect
Habib Ammari, Silvio Barandun, Yannick De Bruijn, Ping Liu, and Clemens Thalhammer
Journal of Physics A: Mathematical and Theoretical (2025) [Paper] [Preprint]

Code & Data

Spectra of non-Hermitian m-banded Toeplitz operators
Yannick De Bruijn
MATLAB code (2025) [GitHub]
Localisation transition in non-Hermitian systems
Yannick De Bruijn and Erik Orvehed Hiltunen
MATLAB code (2025) [GitHub]
Complex Band structure for the 1D & 2D Helmholtz scattering problem
Yannick De Bruijn and Erik Orvehed Hiltunen
MATLAB code (2025) [GitHub]
Topological Origin of the non-Hermitian skin effect
Yannick De Bruijn
Python code (2025) [Zenodo]

Invited Talks

Wave localisation in periodic media
Departmental Seminar, University of Oslo (31 October 2025) [Slides]
Complex Band Structure in the Spectral Theory of Toeplitz Operators and Applications to Metamaterials
Mathematical Methods in Electromagnetics Workshop, KTH Stockholm (9 October 2025) [Slides] [Workshop Info]