Research
My publications and preprints are listed below.
 Convolutional neural networks in phase space and inverse problems (with G. Uhlmann)
Preprint, 2018.
 Singularities generated by the triple interaction of semilinear conormal waves (with A. Sá Barreto)
Submitted, 2018.
 Determination of spacetime structures from gravitational perturbations (with G. Uhlmann)
Submitted, 2018.

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

Quantitavie analysis of metal artifacts in Xray 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 spacetimes from the EinsteinMaxwell equations (with M. Lassas, G. Uhlmann)
Submitted, 2017.

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. (to appear)

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 nontrapping asymptotically hyperbolic manifolds
My presentations and forthcoming ones are listed below.
 (New!) Modern Challenges in Imaging in the Footsteps of Allan Cormack, Tuffs University, 082019.
 (New!) IMA workshop on Mathematics in Optical Imaging, 042019.
 (New!) Applied Math Seminar, Brigham Young University, 042019.
 IPAM workshop: Computational Challenges in Gravitational Wave Astronomy, UCLA, 012019.
 Bay Area Microlocal Analysis Seminar, UC Berkeley, 112018.
 AMS Sectional Meeting, University of MichiganAnn Arbor, 102018.
 AMS Sectional Meeting, Boston, 042018.
 AMS Sectional Meeting, Portland, 042018.
 Spectral and Scattering Theory Seminar, Purdue University, 032018.
 Workshop on Inverse Problems, Imaging and PDEs, IAS of HKUST, 032018.
 Analysis Seminar, Stanford University, 022018.
 Geometry and Analysis Seminar, UC Santa Cruz, 022018.
 Math+X Symposium, Rice University, 012018.
 AMS Sectional Meeting, University of Central Florida, 092017.
 Applied Inverse Problem Conference, Hangzhou, China, 052017.
 Inverse Problem Seminar, University of Washington, 042017.
 Spectral and Scattering Theory Seminar, Purdue University, 032017.
 Workshop on Inverse Problems, Imaging and PDEs, IAS at HKUST, 122016.
 2nd IPIAYoung Scholar Symposium, National Taiwan University, 112016.
 Joint Mathematics Meetings, Seattle, 012016.
 Workshop on inverse problems and related topics, Zhejiang University, China, 122015.
 Hong Kong Colloquium on inverse problems, Imaging and PDEs, IAS at HKUST, 112015.
 PDE/Analysis MiniSchool, University of North Carolina at ChapelHill, 032015.
 Spectral and Scattering Theory Seminar, Purdue University, 022015.
