Research

Survey on the inverse spectral problem, with Nikolai Makarov and Alexei Poltoratski, (https://arxiv.org/abs/2603.13586), submitted

Step function approximations in direct spectral problems for canonical Hamiltonian systems, to appear in Analysis and Mathematical Physics

Convergence from the discrete to the continuous non-linear Fourier transform, Transactions of the American Mathematical Society https://www.ams.org/journals/tran/2025-378-02/S0002-9947-2024-09317-0/

Periodic approximations in inverse spectral problems for canonical Hamiltonian systems, with Alexei Poltoratski, Journal of Functional Analysis 2023 https://doi.org/10.1016/j.jfa.2023.109883 

Reduced basis approximations of the solutions to spectral fractional diffusion problems, with Andrea Bonito and Diane Guignard, Journal of Numerical Mathematics 2020