Currently my research is focused on problems related to shape optimization problems for eigenvalues of the Laplace operator on domains in d-dimensional Euclidean space. In particular I'm interested in the behaviour of such problems in semiclassical limits (see papers [4, 6, 7, 8, 11]).
 Geometric Hardy inequalities for the sub-elliptic Laplacian on convex domains in the Heisenberg group
Bulletin of Mathematical Sciences, vol. 6 (2016), no. 3, 335-352, DOI (open access)
Preprint: arXiv:1603.01379 [math.AP].
 Asymptotic behaviour of cuboids optimising Laplacian eigenvalues (with K. Gittins)
Integral Equations and Operator Theory, vol. 89 (2017), no. 5, 607-629, DOI
Preprint: arXiv:1703.10249 [math.SP].
 Two-term spectral asymptotics for the Dirichlet Laplacian in a Lipschitz domain (with R. L. Frank)
Journal für die reine und angewandte Mathematik (published online), DOI.
Preprint: arXiv:1901.09771 [math.SP].
 Improved bounds for Hermite-Hadamard inequalities in higher dimensions
(with T. Beck,
R. Smits, and
The Journal of Geometric Analysis (to appear)
Preprint: arXiv:1907.06122 [math-CA].
 Asymptotic and universal spectral estimates with applications in many-body quantum mechanics and spectral shape optimization PDF
PhD thesis from Royal Institute of Technology, Stockholm. Defended 5th of June 2019. Main advisor Prof. Ari Laptev. Opponent Prof. Stefan Steinerberger, Yale University. Corrections: PDF