Department of Mathematics and Statistics
Mathematics and Science Center
146 Library Drive
Rochester, MI 48309-4479
Email: yzou oakland edu (insert punctuation as needed)
I am an assistant professor in the Department of Mathematics and Statistics at Oakland University.
I am interested in microlocal analysis, inverse problems, PDE, and mathematical physics.
I obtained my Ph.D. in August 2021 from Stanford University under the supervision of András Vasy. I completed postdoctoral positions at UC Santa Cruz (2021-2022) working with François Monard and at Northwestern University (2022-2025) working with Jared Wunsch.
Here is my CV.
I am the instructor for MTH 3002 (Intro to Advanced Mathematical Thinking) in Fall 2026.
The asymptotic structure of forward scattering, joint with Nicholas Lohr and Izak Oltman and Ethan Sussman.
Preprint, 2026.
Gaussian-weighted normal operators on Euclidean space.
Preprint, 2026.
A Comparison Test for Meromorphic Extensions, joint with Adi Glücksam.
Preprint, 2026.
Tensor tomography on asymptotically hyperbolic surfaces, joint with Nikolas Eptaminitakis and François Monard.
Preprint, 2025. Updated August 2026--significantly expanded to cover tensor tomography for tensors of odd order.
A Gutzwiller trace formula for singular potentials, joint with Jared Wunsch and Mengxuan Yang.
Preprint, 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.
Inverse Problems and Imaging, Vol. 22, 65-100. 2026. DOI:10.3934/ipi.2025045.
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.