Yiran Wang

Welcome! I am an Assistant Professor at Department of Mathematics, Emory University. Before, I was a Postdoc Scholar at Stanford University working with Prof. András Vasy. I also worked with Prof. Gunther Uhlmann as an Acting Assistant Professor at University of Washington (with a joint position at IAS, HKUST). I obtained my Ph.D from Purdue University under the supervision of Prof. Antônio Sá Barreto.

My research interests are microlocal analysis, inverse problems, integral geometry, spectral and scattering theory.

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

In 2020 Fall semester, I will teach
  • Math 318: Complex Variables

  • Math 789: Topics in Analysis
In 2020 Spring semester, I am teaching Math 250: Foundations of Mathematics.

In 2019 Fall semester, I taught Math 112z: Calculus II.

In 2019 Winter quarter, I taught two courses at Stanford. In 2018 Autumn quarter, I taught Math 19: Calculus at Stanford.

In 2018 Summer and Spring quarter, I taught three courses at University of Washington.

Research

My publications and preprints are listed below.

  • Inverse scattering for critical semilinear wave equations (with A. Sá Barreto, G. Uhlmann)
      Submitted.

  • Streak artifacts from non-convex metal objects in X-ray tomography (with Y. Zou)
      Submitted.

  • Sharp resolvent estimates on non-positively curved asymptotically hyperbolic manifolds
      Submitted.

  • On the light ray transform with wave constraints (with A. Vasy)
      Submitted.

  • Convolutional neural networks in phase space and inverse problems (with G. Uhlmann)
      Submitted.

  • Singularities generated by the triple interaction of semilinear conormal waves (with A. Sá Barreto)
      Analysis and PDE.

  • Determination of space-time structures from gravitational perturbations (with G. Uhlmann)
      Communications on Pure and Applied Mathematics.

  • Nonlinear interaction of waves in elastodynamics and an inverse problem (with M. de Hoop, G. Uhlmann)
      Mathematische Annalen.

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

  • 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.

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

  • Distribution of resonances for analytic asymptotically hyperbolic spaces
      Journal of Spectral Theory.

  • Parametrices for the light ray transform on Minkowski spacetime
      Inverse Problems and Imaging.

  • Inverse problems for quadratic derivative nonlinear wave equations (with T. Zhou)
      Communications in Partial Differential Equations.

  • Reducing streaking artifacts in quantitative susceptibility mapping (with B. Palacios, G. Uhlmann)
      SIAM Journal of Imaging Sciences.

  • The scattering operator on asymptotically hyperbolic manifolds (with A. Sá Barreto)
      Journal of Spectral Theory.

  • Inverse problems for semilinear wave equations on Lorentzian manifolds (with M. Lassas, G. Uhlmann)
      Communications in Mathematical Physics.

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

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


  • Last updated: 04-2020.