Lukas Schimmer

University of Copenhagen QMATH

You may also find my research outputs on my ORCID record and on arXiv.

Articles:

  1. The Berezin inequality on domains of infinite measure, Bull. Math. Sci. 3(1): 173-182, 2013. Article
  2. Spectral inequalities for Jacobi operators and related sharp Lieb–Thirring inequalities on the continuum, Comm. Math. Phys. 334(1): 473-505, 2015. Preprint, Article
  3. (with A. Laptev and L. A. Takhtajan) Weyl type asymptotics and bounds for the eigenvalues of functional-difference operators for mirror curves, Geom. Funct. Anal. 26(1): 288-305, 2016. Preprint, Article
  4. (with R. L. Frank) Endpoint resolvent estimates for compact Riemannian manifolds, J. Funct. Anal. 272(9): 3904-3918, 2017. Preprint, Article
  5. (with J. P. Solovej and S. Tokus) Friedrichs Extension and Min-Max Principle for Operators with a Gap, 2018. Preprint

PhD Thesis:

Spectral Inequalities for Discrete and Continuous Differential Operators, Thesis, 2014.

Lecture Notes:

The Stability of Matter in non-relativistic Quantum Mechanics, Lecture notes for Advanced Mathematical Physics at the University of Copehagen, 2018.

Other:

I am the author of two Wikipedia articles on topics related to my research.

Lieb–Thirring inequality

Lieb–Oxford inequality