(joint with )

Published in , 1900

(joint with Alexandre Girouard, Iosif Polterovich and Alessandro Savo )

Published in *arXiv preprint*, 2017

We study the Steklov problem on cuboids of arbitrary dimension as a toy model for the Steklov spectrum on domains with non-smooth boundary. We derive two-term asymptotic formulae for the counting function of the eigenvalues, derive an isoperimetric inequality and study the concentration of eigenfunctions. ** Read more**

(joint with Leonid Parnovski)

Published in *Journal of Spectral Theory 4:(6) pp. 859-879*, 2016

We propose a variation on the Gauss circle problem: studying the asymptotics of the measure of an integer lattice of affine planes inside a ball. This corresponds to the integrated density of states of the Laplace operator on the product of a torus with Euclidean space. ** Read more**