Yiran Wang

Welcome! I am an Assistant Professor at Department of Mathematics, Emory University.

Before joining Emory, I was a Postdoc Scholar at Stanford University working with Prof. András Vasy. I also held positions of Acting Assistant Professor at University of Washington (with a joint appointment at IAS, HKUST), working with Prof. Gunther Uhlmann. I completed my Ph.D. at Purdue University under the supervision of Prof. Antônio Sá Barreto. My research interests are inverse problems, microlocal analysis, integral geometry, spectral and scattering theory.

I am a member of the Inverse Problems International Association (IPIA). I am on the Editorial Board of the journal Communications on Analysis and Computation.

Here is my contact information:

• E-mail: yiran.wang(at)emory.edu
• Office: Mathematics & Science Center, E414.
• Mailing address: Department of Mathematics, 400 Dowman Drive, Atlanta, GA 30322.

Teaching

• Math 250: Foundations of Mathematics

• Math 250: Foundations of Mathematics

• Math 318: Complex Variables


• Math 545: Introduction to Differential Geometry I

• Math 351: Partial Differential Equations

Research

• Reconstruction of the observable Universe from the integrated Sachs-Wolfe effect (with J. Chung)
  


• A Lipschitz stability for the Calderón problem with small structure-free anisotropy (with J.-N. Wang)
  


• Generic injectivity of the limited angle Radon transform with weights
  


• Stability of the cosmic background radiation in scalar gravity
  


• Rigidity of Lorentzian metrics with the same scattering relations
  


• Microlocal analysis of the light ray transform on globally hyperbolic Lorentzian manifolds
  


• Determination of vacuum space-times from the Einstein-Maxwell equations (with M. Lassas, G. Uhlmann)
  


• Resolvent and radiation fields on non-trapping asymptotically hyperbolic manifolds
  

• Iterative reconstruction methods for cosmological X-ray tomography (with J. Chung, L. Onisk)
  SIAM Journal on Imaging Sciences, to appear.


• Inverse source problem for the Boltzmann equation in cosmology
  Annales Henri Poincaré, to appear.


• The distribution of negative eigenvalues of Schrödinger operators on asymptotically hyperbolic manifolds (with A. Sá Barreto) Journal of Spectral Theory 15 (2025): 679-727.


• Robustness of data-driven approaches in limited angle tomography (with Y. Zhong)
  SIAM Journal on Imaging Sciences Vol.18, No.1, (2025): 345-358.


• Identification of nonlinear beam-hardening effects in X-ray tomography
  SIAM Journal on Mathematical Analysis 56.6 (2024): 7290-7305.


• Inverse problems in cosmological X-ray tomography
  Microlocal Analysis and Inverse Problems in Tomography and Geometry
  Radon Series on Computational and Applied Mathematics, Volume 30, 2024.


• The anisotropic Calderón problem for high fixed frequency (with G. Uhlmann)
  SIAM Journal on Mathematical Analysis 56.3 (2024): 4084-4103.


• Existence of resonances for Schrödinger operators on hyperbolic space (with D. Borthwick)
  Analysis and PDE 17.6 (2024): 2077-2108.


• Recovery of black hole mass from a single quasinormal mode (with G. Uhlmann)
  Communications in Mathematical Physics 401.1 (2023): 925-936.


• Some integral geometry problems for wave equations
  Inverse Problems 38.8 (2022): 084001. (Special issue of Emerging Talents)


• Inverse scattering for critical semilinear wave equations (with A. Sá Barreto, G. Uhlmann)
  Pure and Applied Analysis 4.2 (2022): 191-223.


• Sharp resolvent estimates on non-positively curved asymptotically hyperbolic manifolds
  International Mathematics Research Notices 2022.8 (2022): 6107-6134.


• Streak artifacts from non-convex metal objects in X-ray tomography (with Y. Zou)
  Pure and Applied Analysis 3.2 (2021): 295-318.


• On the light ray transform of wave equation solutions (with A. Vasy)
  Communications in Mathematical Physics 384.1 (2021): 503-532.


• Singularities generated by the triple interaction of semilinear conormal waves (with A. Sá Barreto)
  Analysis and PDE 14.1 (2021): 135-170.


• Convolutional neural networks in phase space and inverse problems (with G. Uhlmann)
  SIAM Journal on Applied Mathematics 80.6 (2020): 2560-2585.


• Determination of space-time structures from gravitational perturbations (with G. Uhlmann)
  Communications on Pure and Applied Mathematics 73.6 (2020): 1315-1367.
  (Top cited article 2020-2021)


• Nonlinear interaction of waves in elastodynamics and an inverse problem (with M. de Hoop, G. Uhlmann)
  Mathematische Annalen 376.1-2 (2020): 765-795.


• Nonlinear responses from the interaction of two progressing waves at an interface (with M. de Hoop, G. Uhlmann)
  Annales de l'Institut Henri Poincaré, Analyse Non Linéaire Vol. 36. No. 2, (2019): 347-363.


• Distribution of resonances for analytic asymptotically hyperbolic spaces
  Journal of Spectral Theory 9.2 (2019): 651-675.


• Inverse problems for quadratic derivative nonlinear wave equations (with T. Zhou)
  Communications in Partial Differential Equations 44.11 (2019): 1140-1158.


• The scattering operator on asymptotically hyperbolic manifolds (with A. Sá Barreto)
  Journal of Spectral Theory 9.1 (2019): 269-314.


• Quantitavie analysis of metal artifacts in X-ray tomography (with B. Palacios, G. Uhlmann)
  SIAM Journal on Mathematical Analysis 50.5 (2018): 4914-4936.


• Parametrices for the light ray transform on Minkowski spacetime
  Inverse Problems and Imaging Vol.12, No.1, (2018): 229-237.


• Inverse problems for semilinear wave equations on Lorentzian manifolds (with M. Lassas, G. Uhlmann)
  Communications in Mathematical Physics 360.2 (2018): 555-609.


• Reducing streaking artifacts in quantitative susceptibility mapping (with B. Palacios, G. Uhlmann)
  SIAM Journal on Imaging Sciences Vol.10, No.4, (2017): 1921-1934.


• The semiclassical resolvent on conformally compact manifolds with variable curvature at infinity (with A. Sá Barreto)
  Communications in Partial Differential Equations 41.8 (2016): 1230-1302.

Last updated: 07-2025.