Find my full CV here.

Research interests


  • Spectral theory
  • Functional inequalities
  • Partial differential equations

Articles


8. (with Rupert L. Frank and Jonas W. Peteranderl) Sharp quantitative integral inequalities for harmonic extensions. Preprint 2025. (arxiv)

7. (with Charlotte Dietze) On the concentration of eigenfunctions on singular Riemannian manifolds. Preprint 2024. (arxiv)

6. On the asymptotic number of low-lying states in the two-dimensional confined Stark effect. Preprint 2024. (arXiv)

5. Negative spectrum of Schrödinger operators with rapidly oscillating potentials. Ann. Henri Poincaré (2024). (arXiv - article)

4. (with Rupert L. Frank and Ari Laptev) Weighted CLR inequalities in two dimensions. Trans. Amer. Soc. 377, 3357-3371 (2024) (arXiv-- article)

3. Lieb-Thirring type bounds for perturbed Schrödinger operators with single-well potentials. J. Math. Phys. 64, 062102 (2023). (arXiv - article)

2. (with Boguslaw Zegarlinski and Mengchun Zhang) Logarithmic Schrödinger equation in infinite dimensions. J. Math. Phys. 63, 111502 (2022). (arXiv - article)

1. (with Ari Laptev and Lukas Schimmer) Calogero type bounds in two dimensions. Arch. Ration. Mech. Anal. 245, 1491–1505 (2022). (arXiv - article)

PhD Thesis


Spectral bounds for Schrödinger operators in dimensions one and two, 2023. (thesis)

Teaching


At LMU Munich:

At Imperial College London:

  • MATH40008 Individual Research Project (2022)
  • MATH95001 Differential Equations (2020)
  • MATH95007 Complex analysis (2020, 2022 and 2023)
  • MATH95005 Real Analysis (2022)
  • MATH40002 Analysis 1 (2019)

At the University of Warwick:

  • First-year supervisor (2018)
  • MA131 Analysis 1 (2016)

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