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

  1. Refined Weyl Law for Homogeneous Perturbations of the Harmonic Oscillator, with O. Gannot and J. Wunsch, Comm. Math. Phys. 362 (2018)
  2. Recurrence of Singularities for Second Order Isotropic Pseudodifferential Operators, Math. Nachr. 292 (2019)
  3. Lagrangian distributions on asymptotically Euclidean manifolds, with S. Coriasco and R. Schulz, Ann. Mat. Pura App. 198 (2019)
  4. A Partial Data Problem in Linear Elasticity, with A. Froehly and R. Schulz, Inverse Problems 36 (2020)
  5. Schrödinger Trace Invariants for Homogeneous Perturbations of the Harmonic Oscillator, with S. Zelditch, J. Spectr. Theory 10 (2020)
  6. Weyl Law on Asymptotically Euclidean Manifolds, with S. Coriasco, Ann. Henri Poincaré 22 (2021)
  7. Counting Resonances on Hyperbolic Surfaces with Unitary Twists, with K. Fedosova and A. Pohl, to appear in Comm. Anal. Geom.
  8. Scattering Theory with Unitary Twists, with K. Fedosova and A. Pohl, J. Analyse Math. 153 (2024)
  9. The Klein-Gordon equation on asymptotically Minkowski spacetimes: causal propagators, with D. Baskin and J. Gell-Redman, preprint (2024)

Thesis

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

    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