Martin Gebert


University of California, Davis

MG

mgebert@math.ucdavis.edu


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



Teaching


Math Physics and Probability Seminar (Spring 2020)

MAT-127A (Winter 2020)

MAT-127A (Fall 2019)

MAT-017B (Fall 2019)

MAT-127B (Spring 2019)

MAT-017A (Winter 2019)

MAT-017A (Fall 2018)



Articles

Have a look at ArXiv and MathSciNet.

• 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, preprint arXiv:1912.12552 (2019), submitted.
ArXiv

• M.Gebert and C.Rojas-Molina, Lifshitz tails for the fractional Anderson model, preprint arXiv:1910.02077 (2019), 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

• 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.




Slides

Slides to some talks:

Lieb-Robinson bounds for a class of interacting continuum fermions: Random Matrix & Prob Semiar Harvard University 2020. slides

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

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

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


MG