Martin Vogel

Erwin Schrödinger Fellow

Department of Mathematics
University of California, Berkeley

Office: 867 Evans Hall
E-mail:

I am an Erwin Schrödinger Fellow at Berkeley hosted by Professor Maciej Zworski. From 2015 until 2017, I was a Postdoc with Stéphane Nonnenmacher at the University Paris-Sud. I obtained my PhD at the University of Burgundy under the supervision of Johannes Sjöstrand , Frédéric Klopp (Université Pierre et Marie Curie) and Nikolai Kitanine.

Curriculum Vitae: Pdf
Photo

Papers and Preprints

  1. Local eigenvalue statistics of one-dimensional random non-selfadjoint pseudo-differential operators, joint with Stéphane Nonnenmacher,

    pre-print, 2017.

  2. Spectral Statistics of non-selfadjoint operators subject to small random perturbations,

    Séminaire Laurent Schwartz — EDP et applications, Exp. No. 19, 24 p, 2016-2017.

  3. 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,

    J. of Spectral Volume 6, Issue 4, pp. 977-1020, 2016.

  5. Two Point Eigenvalue Correlation for a Class of Non-Selfadjoint Operators Under Random Perturbations,

    Commun. Mathematical Physics 350, no. 1, 31-78, 2017.

  6. 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.

  7. 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.


Talks and Presentations

  1. 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.

  2. 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.


PhD Thesis

    Download Pdf.

GDT Problèmes spectraux et physique mathématique

    From 2015 until 2017, I organized together with Konstantin Pankrashkin the seminars of the work group
    Problèmes spectraux et physique mathématique with focus on problems in Spectral Theory and Mathematical
    Physics at the Department of Mathematics at the University Paris-Sud.

    A list of past and future seminars can be found on the webpage.