My research interests are inverse problems, semiclassical analysis, and partial differential equations.
Hölder stability of an inverse spectral problem for the magnetic Schrödinger operator on a simple manifold, (with Boya Liu, Hadrian Quan, and Teemu Saksala), preprint 2025, submitted. arXiv
Partial data inverse problems for the nonlinear magnetic Schrödinger equation, (with Ru-Yu Lai and Gunther Uhlmann), preprint 2024, submitted. arXiv
Recovery of a time-dependent potential in hyperbolic equations on conformally transversally anisotropic manifolds, (with Boya Liu and Teemu Saksala ), Journal of Spectral Theory, 15(2025), no 1, 123-147. arXiv
Stable determination of time-dependent collision kernel in the nonlinear Boltzmann equation, (with Ru-Yu Lai), SIAM Journal on Applied Mathematics, 84(2024), no.5, 1937-1956. arXiv
Partial data inverse problem for hyperbolic equation with time-dependent damping coefficient and potential, (with Boya Liu and Teemu Saksala), SIAM Journal on Mathematical Analysis, 56(2024), no.4, 5678-5722. arXiv
Partial data inverse problems for magnetic Schrödinger operators on conformally transversally anisotropic manifolds, (with Salem Selim), Asymptotic Analysis, 140(2024), no.1-2, 25-36. arXiv
A remark on inverse problems for nonlinear magnetic Schrödinger equations on complex manifolds, (with Katya Krupchyk and Gunther Uhlmann), Proceedings of the American Mathematical Society, 152(2024), no.6, 2413-2422. arXiv2.
Reconstructing a potential perturbation of the biharmonic operator on transversally anisotropic manifolds, Inverse Problems and Imaging, 17(2023), no.1, 136-156. arXiv
Inverse boundary problems for biharmonic operators in transversally anisotropic geometries, SIAM Journal on Mathematical Analysis, 53 (2021), no. 6, 6617-6653. arXiv