Prof. Dr. Martin GebertVertretungsprofessor Mathematisches Institut der Universität München Email: gebert@mathematik.uni-muenchen.de Sprechstunde: Nach Vereinbarung Tel: +49 (0)89 2180 4615 |
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Teaching Winter 2020-21:
Vorlesung: Matrix Analysis
Seminar: Basic Models in Data Analysis
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 |
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
ℝd,
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.