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

### Articles:

*The Berezin inequality on domains of infinite measure*,

Bull. Math. Sci. 3(1): 173-182 (2013). Article

*Spectral inequalities for Jacobi operators and related sharp Lieb–Thirring inequalities on the continuum*,

Commun. Math. Phys. 334(1): 473-505 (2015). Preprint, Article

- (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

- (with R. L. Frank)
*Endpoint resolvent estimates for compact Riemannian manifolds*,

J. Funct. Anal. 272(9): 3904-3918 (2017). Preprint, Article

- (with A. Laptev and L. A. Takhtajan)
*Weyl asymptotics for perturbed functional difference operators*,

J. Math. Phys 60(10): 103505 (2019). Article

- (with J. P. Solovej and S. Tokus)
*Friedrichs Extension and Min-Max Principle for Operators with a Gap*,

Ann. Henri Poincaré 21: 327-357 (2020). Preprint, Article

*Improved sharp spectral inequalities for SchrĂ¶dinger operators on the semi-axis*,

to appear in J. Spectr. Theory (2022). Preprint

- (with A. Laptev)
*A sharp Lieb–Thirring inequality for functional difference operators*,

SIGMA 17, 105, 10 pages (2021). Preprint, Article

- (with A. Laptev and M. Loss)
*On a Conjecture by Hundertmark and Simon*,

Ann. Henri Poincaré 23: 4057-4067 (2022). Preprint, Article

- (with A. Laptev and L. Read)
*Calogero type bounds in two dimensions*,

Arch. Ration. Mech. Anal. 245: 1491-1505 (2022). Preprint, Article

*The state of the Liebâ€“Thirring conjecture*,

In: The Physics and Mathematics of Elliott Lieb. A book in honour of Elliott H. Lieb's 90th birthday, edited by R. L. Frank, A. Laptev, M. Lewin and R. Seiringer, EMS Publishing House (2022). Preprint, Article

### 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.