Publications

Preprints

12. Flexibility of Steklov eigenvalues via boundary homogenisation

• Joint with M. Karpukhin
• arXiv:2207.02816

11. Weyl’s law for the Steklov problem on surfaces with rough boundary

• oint with M. Karpukhin and I. Polterovich
• arXiv:2204.05294

10. The almost-periodic gauge transform — An abstract scheme with applications to Dirac operators

• Joint with S. Morozov, L. Parnovski, B. Pfirsch and R. Shterenberg
• arXiv:2106.01888

Accepted publications

9. Continuity of eigenvalues and shape optimisation of Laplace and Steklov problems

• Joint with  A. Girouard and M. Karpukhin
• Appeared in Geometric and Functional Analysis (GAFA), 31 (2021), pp. 513–561.
• arXiv:2004.10784

8. Large Steklov eigenvalues via homogenisation on manifolds

• Joint with A. Girouard
• Appeared in Inventiones Mathematicae, 226 (2021) pp. 1011–1056.
• arXiv:2004.04044

7. Spectral invariants of Dirichlet-to-Neumann operators on surfaces

• Joint with S. St-Amant
• Appeared in Journal of Spectral Theory, 11:(4) (2021), pp. 1627–1667.
• arXiv:2003.02143

6. Optimal unions of scaled copies of domains and Pólya’s conjecture

• Joint with P. Freitas and J. Payette.
• Appeared in Arkiv för Matematik, 59:(1) (2021), pp. 11–51.
• arXiv:1908.08441

5. From Steklov to Neumann, via homogenisation

• Joint with A. Girouard and A. Henrot.
• Appeared in Archive for Rational Mechanics and Analysis 239:(2) (2021), pp. 981–1023.
• arXiv:1906.09638

4. Eigenvalue optimisation on flat tori and lattice points in anisotropically expanding domains

• Appeared in Canadian Journal of Mathematics, 72:(4) (2020) pp. 967–987.
• arXiv:1809.01469

3. Appendix of A. Hassannezhad, A. Laptev, Eigenvalue bounds of mixed Steklov problems

• Joint with F. Ferrulli
• Appeared Communications in Contemporary Mathematics, 22 (2020), pp. 20–22.
• arXiv:1712.00753

2. The Steklov Spectrum of Cuboids

• Joint with A. Girouard, I. Polterovich and A. Savo
• Appeared in Mathematika, 65 (2019), pp. 272–310.
• arXiv:1711.03075

1. A generalised Gauss circle problem and integrated density of states

• Joint with L. Parnovski
• Appeared in Journal of Spectral Theory 4:(6) (2016) pp. 859–879.
• arXiv:1506.07115