Charlotte Dietze Mathematisches Institut der Universität München Theresienstr. 39 D-80333 München Email: Charlotte.Dietze@mathematik.uni-muenchen.de Tel:   +49 (0)89   2180 4454 Fax:  +49 (0)89   2180 4438 Büro: Block B, 3. Stock, 333 Arbeitsgruppe Analysis, Mathematische Physik und Numerik

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Teaching

Numerik I (WS 2023/2024)

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

8. (with Phan Thành Nam) Hardy-Sobolev interpolation inequalities. Preprint 2023. (arXiv)

7. (with Ayman Kachmar and Vladimir Lotoreichik) Isoperimetric inequalities for inner parallel curves. Preprint 2023. (arXiv)

6. 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)

5. (with Lea Boßmann and Phan Thành Nam) Focusing dynamics of 2D Bose gases in the instability regime. Preprint 2023. (arXiv)

4. Semiclassical estimates for Schrödinger operators with Neumann boundary conditions on Hölder domains. Preprint 2023. (arXiv)

3. (with Jinyeop Lee) Uniform in Time Convergence to Bose-Einstein Condensation for a Weakly Interacting Bose Gas with an External Potential. Proceedings of INdAM Quantum Meetings 2022, in press. (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)

Curriculum Vitae

Workshop for young researchers in analysis and mathematical physics (9-11 October 2023)