I'm a Krener Assistant Professor at University of California, Davis working in analysis, spectral theory and operator theory. Before coming to Davis, I was at Queen Mary University of London, King's College London, briefly at ETH Zurich and LMU Munich.

**MAT-127A** (fall 2019)

** MAT-017B ** (fall 2019)

** MAT-127B** (Spring 2019)

**MAT-017A** (Winter 2019)

**MAT-017A **
(Fall 2018)

Have a look at ArXiv and MathSciNet.

**[13] ** M.Gebert and C.Rojas-Molina,
Lifshitz tails for the fractional Anderson model, preprint
arXiv:1910.02077 (2019), submitted.
ArXiv

**[12] ** 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

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

**[10] ** 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

**[9] ** 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

**[8] ** 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

**[7] ** 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.

**[6] ** 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.

**[5] ** 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.

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

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

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

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

Slides to some talks:

**• **
Overview of mathematics of Anderson's orthogonality and open problems:
Talk held at Field's institue Toronto 2016.
slides

**• **
Lower bound on density of states for continuum random Schrödinger operators:
Talk held at CRM Montreal 2018.
slides

**• **
Basic talk about persistence probability of truncated random orthogonal matrices:
Talk held at GLaMP 2019.
slides