Prof. Dr. Martin Gebert Vertretungsprofessor Mathematisches Institut der Universität München Theresienstr. 39 D-80333 München Email: gebert@mathematik.uni-muenchen.de Sprechstunde: Nach Vereinbarung Tel:   +49 (0)89   2180 4615 Fax:  +49 (0)89   2180 4438 Büro: Block B, 3. Stock, 335 Arbeitsgruppe Analysis, Mathematische Physik und Numerik

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Teaching Winter 2020-21:

Vorlesung: Matrix Analysis

Seminar: Basic Models in Data Analysis

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Short CV:

Oct 2020 -	LMU München. Vertretungsprofessor (deputy professor)
Aug 2018 - 2020	University of California, Davis. Krener Asisstant Professor
Feb 2018 - Jul 2018	Queen Mary University of London. PostDoc
Feb 2016 - Jan 2018	King's College London. PostDoc funded by DFG
Oct 2015 - Dec 2015	ETH Zurich. Research stay
Sep 2015	LMU München. PhD

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Research:

Matrices, matrices and applications.

Have a look at ArXiv and MathSciNet.

Preprints:

• M.Gebert, Dirichlet-Neumann bracketing for a class of banded Toeplitz matrices , preprint arXiv:2012.14684 (2020), submitted.
ArXiv

• M.Gebert and M.Poplavskyi, On pure complex spectrum for truncations of random orthogonal matrices and Kac polynomials , preprint arXiv:1905.03154 (2019), submitted.
ArXiv

Published articles:

• M.Gebert, B. Nachtergaele, J. Reschke and R. Sims, Lieb-Robinson bounds and strongly continuous dynamics for a class of many-body fermion systems in Rd, Ann. Henri Poincare 21, 3609 - 3637 (2020).
ArXiv or Journal

• M.Gebert and C.Rojas-Molina, Lifshitz tails for the fractional Anderson model, J. Stat. Phys. 179, 341-353 (2020)
ArXiv or Journal

• E.Fedele and M.Gebert, On determinants identity minus Hankel matrix, Bull. Lond. Math. Soc. 51, 751-764 (2019).
ArXiv or Journal

• M.Gebert, A lower Wegner estimate and bounds on the spectral shift function for continuum random Schrödinger operators, J. Funct. Anal. 277, no. 11, 108284 (2019).
ArXiv or Journal

• A.Dietlein, M.Gebert and P.Müller, Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function. J. Spectr. Theory 9, no. 3, 921–965 (2019).
ArXiv or Journal

• M.Gebert, On an integral formula for Fredholm determinants related to pairs of spectral projections, Integral Equations Operator Theory, 90:35 (2018).
ArXiv or Journal

• A.Dietlein, M.Gebert, P.Hislop, A.Klein and P.Müller, A bound on the averaged spectral shift function and a lower bound on the density of states for random Schrödinger operators on ℝ^d, Int. Math. Res. Not. IMRN, 21, 6673--6697 (2018).
ArXiv or Journal.

• M.Gebert and M.Lemm, On polynomial Lieb-Robinson bounds for the XY chain in a decaying random field, J. Stat. Phys. 164, 667-679 (2016).
ArXiv or Journal.

• M.Gebert, H.Küttler, P.Müller and P.Otte, The exponent in the orthogonality catastrophe for Fermi gases, J. Spectr. Theory 6, 643-683 (2016).
ArXiv or Journal.

• M.Gebert, The asymptotics of an eigenfunction-correlation determinant for Dirac-delta perturbations, J. Math. Phys. 56, 072110-1-18 (2015).
ArXiv or Journal.

• M.Gebert, Finite-size energy of non-interacting Fermi gases, Math. Phys. Anal. Geom. 18, 27-1-13 (2015).
ArXiv or Journal.

• M.Gebert, H.Küttler and P. Müller, Anderson's orthogonality catastrophe, Commun. Math. Phys. 329, 979-998 (2014).
ArXiv or Journal.

• M. Gebert and P. Müller, Localization for random block operators, Oper. Theory Adv. Appl. 232, 229-246 (2013).
ArXiv or Journal.

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