My research interests are inverse problems, semiclassical analysis, and partial differential equations.
Range characterization of the weighted divergent beam and cone integral transforms, (with Fatma Terzioglu), preprint 2026. arXiv
Rigidity of homogeneous Lame systems, (with Joonas Ilmavirta and Teemu Saksala), preprint 2026. arXiv
The higher-order fractional Schrödinger equation with nonlinear local perturbations: Uniqueness, (with Giovanni Covi and Ru-Yu Lai), preprint 2025. arXiv
Entanglement principle and fractional Calderón problem for nonlocal parabolic operators, (with Ru-Yu Lai and Yi-Hsuan Lin), preprint 2025. arXiv
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