Charlotte DietzeMathematisches Institut der Universität München Email: Charlotte.Dietze@mathematik.uni-muenchen.de Tel: +49 (0)89 2180 4454 |
|
Teaching
Mathematical Quantum Mechanics (WS 2024/2025)
Analysis einer Variablen (WS 2021/2022)
Functional Analysis I (SoSe 2021)
Research interests: Analysis and Mathematical Physics
- Many-body quantum mechanics
- Partial differential equations
Publications
Research papers
10. (with Phan Thành Nam) Minimizing sequences of Sobolev inequalities revisited. Preprint 2024. (arXiv)
9. (with Konstantin Pankrashkin) Peculiar behavior of the principal Laplacian eigenvalue for large negative Robin parameters. Preprint 2024. (arXiv)
8. (with Larry Read) Concentration of eigenfunctions on singular Riemannian manifolds. Preprint 2024. (arXiv)
7. (with Yves Colin de Verdière, Maarten de Hoop and Emmanuel Trélat) Weyl formulae for some singular metrics with application to acoustic modes in gas giants. Preprint 2024. (arXiv)
6. (with Phan Thành Nam) Hardy-Sobolev interpolation inequalities. Calc. Var. 63, 184 (2024). (arXiv - article)
5. (with Ayman Kachmar and Vladimir Lotoreichik) Isoperimetric inequalities for inner parallel curves. J. Spectr. Theory. 14, 4, pp. 1537–1562 (2024). (arXiv - article)
4. (with Lea Boßmann and Phan Thành Nam) Focusing dynamics of 2D Bose gases in the instability regime. To appear in Analysis & PDE. (arXiv)
3. Semiclassical estimates for Schrödinger operators with Neumann boundary conditions on Hölder domains. Preprint 2023. (arXiv)
2. Dispersive Estimates for Nonlinear Schrödinger Equations with External Potentials. J. Math. Phys. 62, 111502 (2021). (arXiv - article)
1. (with Chokri Manai, Christian Nöbel and Ferdinand Wagner) Totally odd depth-graded multiple zeta values and period polynomials. Preprint 2017. (arXiv)
Books / Book chapters / Reviews / Proceedings of conferences
4. Spectral estimates for Schrödinger operators with Neumann boundary conditions on Hölder domains. Oberwolfach reports 49/2023, p.27 (report)
3. Weyl’s law for Neumann Schrödinger operators on Hölder domains. Séminaire Laurent Schwartz — EDP et applications (2022-2023), Exposé no. 9, 8 p.. (arXiv - article)
2. (*) (with Jinyeop Lee) Uniform in Time Convergence to Bose-Einstein Condensation for a Weakly Interacting Bose Gas with an External Potential. Quantum Mathematics II. Proceedings of INdAM Quantum Meetings 2023, pp. 267-311 (arXiv - book)
1. Coauthor of book Analysis Eins – Mathe für Nicht-Freaks. Serlo Education e.V. 2017 (book)
(*) contains original results