I am a Boas Assistant Professor at Northwestern University working with Jared Wunsch. I am interested in microlocal analysis, inverse problems, PDE, and mathematical physics.
Previously (from 2021-2022) I was a postdoc at UC Santa Cruz working with François Monard.
I obtained my Ph.D. in August 2021 from Stanford University under the supervision of András Vasy.
Here is my CV.
Email me at: yuzhou.zou northwestern edu (insert punctuation as needed)
I have no teaching duties in Summer 2025.
Asymptotic Expansion of the Eigenvalues of a Bathtub Potential with Quadratic Ends.
Communications in Mathematical Physics, Vol. 406, no. 220. 2025. DOI: 10.1007/s00220-025-05394-3.
The hyperbolic X-ray transform: new range characterizations, mapping properties and functional relations, joint with Nikolas Eptaminitakis and François Monard.
Submitted for publication, 2024.
Helmholtz quasi-resonances are unstable under most single-signed perturbations of the wave speed, joint with Euan A. Spence and Jared Wunsch.
Journal of Differential Equations, Vol. 440, Part 2. 2025. DOI:10.1016/j.jde.2025.113441.
The Morse index theorem for mechanical systems with reflections, joint with Jared Wunsch and Mengxuan Yang.
Nonlinearity, Vol. 37, no. 8. 2024. DOI: 10.1088/1361-6544/ad5636.
Boundary triples for a family of degenerate elliptic operators of Keldysh type, joint with François Monard.
Pure and Applied Analysis, Vol. 6, no. 2, 541-580. 2024. DOI: 10.2140/paa.2024.6.541.
The C∞-isomorphism property for a class of singularly-weighted X-ray transforms, joint with Rohit Kumar Mishra and François Monard.
Inverse Problems, Vol. 39, no. 2. 2023. DOI: 10.1088/1361-6420/aca8cb.
Microlocal Methods for The Elastic Travel Time Tomography Problem for Transversely Isotropic Media.
Submitted for publication, 2021.
Streak artifacts from non-convex metal objects in X-ray tomography, joint with Yiran Wang.
Pure and Applied Analysis, Vol. 3, no. 2, 295-318. 2021. DOI: 10.2140/paa.2021.3.295.
Annales de l'Institut Fourier, Vol. 74, no. 5, 2077-2139. 2024. DOI:10.5802/aif.3617.