In preparation

[24]		Weyl asymptotics for exponential small singular values joint with Michael Hitrik and Johannes Sjöstrand.
[23]		Spectrally pathological differential operators subject to small random perturbations joint with Simon Becker and Izak Oltman.
[22]		Delocalization of eigenvectors of non-Hermitian banded noisy Toeplitz matricess joint with Anirban Basak and Ofer Zeitouni.
[21]		Subradiant resonances of large disordered quantum systems joint with Frédéric Klopp.

Publications and preprints

[20]		Pseudospectra and eigenvalue asymptotics for disordered non-selfadjoint operators in the semiclassical limit review article, arXiv preprint (2024), submitted.
[19]		Improved L∞ bounds for eigenfunctions under random perturbations in negative curvature joint with Maxime Ingremeau, 23 pages, arXiv preprint (2024), submitted.
[18]		Absence of small magic angles for disordered tunneling potentials in twisted bilayer graphene joint with Simon Becker and Izak Oltman, 32 pages, arXiv preprint (2024), accepted for publication.
[17]		Magic angle (in)stability and mobility edges in disordered Chern insulators joint with Simon Becker and Izak Oltman, 39 pages, arXiv preprint (2023), submitted.
[16]		Emergence of Gaussian fields in noisy quantum chaotic dynamics joint with Maxime Ingremeau, 66 pages, arXiv preprint (2023), submitted.
[15]		Tunneling for the d-bar operator joint with Johannes Sjöstrand, Vietnam J. Math. 52, 1017-1041 (2024).
[14]		Localization of eigenvectors of non-Hermitian banded noisy Toeplitz matricess joint with Anirban Basak and Ofer Zeitouni, Probability and Mathematical Physics, Vol. 4 (2023), No. 3, pages 477-607.
[13]		On an almost sure Weyl law for quantized tori Oberwolfach Reports (2019)
[12]		Deterministic equivalence for noisy perturbations joint with Ofer Zeitouni, Proc. Amer. Math. Soc. 149 (2021), pages 3905-3911.
[11]		Almost sure Weyl law for quantized tori Commun. Math. Phys. 378(2), 1539-1585, 2020.
[10]		General Toeplitz matrices subject to Gaussian perturbations joint with Johannes Sjöstrand, Ann. Henri Poincaré 22(1), 49-81, 2021.
[9]		Toeplitz band matrices with small random perturbations joint with Johannes Sjöstrand, Indag. Math. Vol. 32, Issue 1 (2021), p. 275-322.
[8]		Semiclassical resolvent estimates for bounded potentials joint with Frédéric Klopp, Pure and Applied Analysis, Vol. 1 (2019), No. 1, 1-25.
[7]		Local eigenvalue statistics of one-dimensional random non-selfadjoint pseudo-differential operators joint with Stéphane Nonnenmacher, J. Eur. Math. Soc. 23 (2021), no. 5, pp. 1521-1612.
[6]		Spectral Statistics of non-selfadjoint operators subject to small random perturbations Séminaire Laurent Schwartz - EDP et applications, Exp. No. 19, 24 p, 2016-2017.
[5]		Interior eigenvalue density of large bi-diagonal matrices subject to random perturbations joint with Johannes Sjöstrand, Microlocal analysis and singular perturbation theory, 201-227, RIMS Kôkyûroku Bessatsu, B61, Res. Inst. Math. Sci. (RIMS), Kyoto, 2017.
[4]		Large Bi-Diagonal matrices and random perturbations joint with Johannes Sjöstrand, Journal of Spectral Volume 6, Issue 4, pp. 977-1020, 2016.
[3]		Two Point Eigenvalue Correlation for a Class of Non-Selfadjoint Operators Under Random Perturbations Commun. Mathematical Physics 350, no. 1, 31-78, 2017.
[2]		The precise shape of the eigenvalue intensity for a class of non-selfadjoint operators under random perturbations Ann. Henri Poincaré 18, no. 2, 435-517, 2017.
[1]		Interior eigenvalue density of Jordan matrices with random perturbations joint with Johannes Sjöstrand, Analysis Meets Geometry: A Tribute to Mikael Passare Trends in Mathematics, pp 439-466, 2017.

Habilitation Thesis

[H1]

Disordered semiclassical pseudo-differential operators: Spectral asymptotics, statistics and eigenvector (de-)localization Defence July 7, 2024.

PhD Thesis

[T1]

Spectral properties of random non-self-adjoint operators

---

Talks and Presentations

[P2]

Spectral statistics of non-selfadjoint operators subject to small random perturbations Slides for a talk at the Séminaire Laurent Schwartz, Institut des Hautes Études Scientifiques, Bures-sur-Yvette, Mai 2017.

[P1]

Spectra of large non-self-adjoint Toeplitz matrices subject to small random perturbations Slides for a talk at the 8th meeting of the research group Dynamique Quantique, Grénoble, February 2016.