Department Mathematik
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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

Research papers

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. Preprint 2023. (arXiv)

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

Curriculum Vitae



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