Moritz Doll
Contact
School of Mathematics and Statistics
The University of Melbourne
Parkville, VIC 3010, Australia
Position: Postdoctoral Researcher
Office: G87
Mail: firstname.surname@unimelb.edu.au
Research
I work in microlocal analysis together with
Jesse Gell-Redman.
My PhD supervisor was
Elmar Schrohe.
Previously, I was postdoctoral researcher at the Universität Bremen under the supervision of
Anke Pohl
My CV can be found here.
Publications
A list of preprints can be found on the arXiv
and published versions are linked on my orcid page.
Journal Articles
- Refined Weyl Law for Homogeneous Perturbations of the Harmonic Oscillator, with
O. Gannot and
J. Wunsch,
Comm. Math. Phys. 362 (2018)
- Recurrence of Singularities for Second Order Isotropic Pseudodifferential Operators, Math. Nachr. 292 (2019)
- Lagrangian distributions on asymptotically Euclidean manifolds, with
S. Coriasco and
R. Schulz,
Ann. Mat. Pura App. 198 (2019)
- A Partial Data Problem in Linear Elasticity, with
A. Froehly and
R. Schulz,
Inverse Problems 36 (2020)
- Schrödinger Trace Invariants for Homogeneous Perturbations of the Harmonic Oscillator, with
S. Zelditch,
J. Spectr. Theory 10 (2020)
- Weyl Law on Asymptotically Euclidean Manifolds, with
S. Coriasco,
Ann. Henri Poincaré 22 (2021)
- Counting Resonances on Hyperbolic Surfaces with Unitary Twists, with
K. Fedosova and
A. Pohl,
to appear in Comm. Anal. Geom.
- Scattering Theory with Unitary Twists, with
K. Fedosova and
A. Pohl,
J. Analyse Math. (2023)
Thesis
- M. Doll. Fourier Integral Operators on Non-Compact Manifolds.
Dissertation.
Events
Upcoming
Spectral Theory and Mathematical Relativity, Vienna, June 5-July 28, 2023
Hyperbolic PDEs and Nonlinear Evolution Problems, Creswick, Sep 18-Sep 30, 2023
Past
-
HANDSDays 3, University of Bremen (Organizers: Doll, Pohl)
-
Asymptotic analysis & Spectral theory, Orsay, Sep 30-Oct 4, 2019
-
Recent developments in microlocal analysis, Berkeley, Oct 14-18, 2019
-
Bremen-Oldenburg Analysis Seminar (Organizers: Doll, Grieser)
-
Trimester Program "Dynamics: Topology and Numbers", Bonn, 2020
Interactive Proof Assistants
Recently I got interested in interactive proof assistants, especially Lean and mathlib.
I have formalized the definition of the
Schwartz space as a
locally convex space
and the fundamentals of
unbounded operators.
A list of files that I have made significant contributions to can be found here.
Past Teaching
Leibniz Universität Hannover
Winter 2015/2016: Funktionalanalysis, Tutorial
Summer 2016: Partielle Differentialgleichungen,
Assistant
Summer 2017: Distributionentheorie, Tutorial
Winter 2017/2018: Analysis 1, Tutorial
Summer 2018: Analysis 2, Tutorial
Universität Bremen
Winter 2018/2019 Seminar Differentialgeometrie
Summer 2019 Seminar Spektral- und Streutheorie
Summer 2019 Ergodentheorie, Assistant
Winter 2019/2020 Seminar Differentialgeometrie
Summer 2020 Spektralgeometrie
Winter 2021/2022 Semiklassische Analysis