Research
The distribution of negative eigenvalues of Schrödinger operators on asymptotically hyperbolic manifolds (with A. Sá Barreto)
Submitted.
Rigidity of Lorentzian metrics with the same scattering relations
Submitted.
Iterative reconstruction methods for cosmological Xray tomography (with J. Chung, L. Onisk)
Submitted.
Robustness of the datadriven approach in limited angle tomography (with Y. Zhong)
Submitted.
Inverse source problem for the Boltzmann equation in cosmology
Submitted.
Identification of nonlinear beamhardening effects in Xray tomography
SIAM Journal on Mathematical Analysis, to appear.
Recovery of black hole mass from a single quasinormal mode (with G. Uhlmann)
Communications in Mathematical Physics.
Existence of resonances for Schrödinger operators on hyperbolic space (with D. Borthwick)
Analysis and PDE.
Some integral geometry problems for wave equations
Inverse Problems, special issue of Emerging Talents.
Microlocal analysis of the light ray transform on globally hyperbolic
Lorentzian manifolds
Submitted.
The anisotropic Calderón problem for high fixed frequency (with G. Uhlmann)
SIAM Journal on Mathematical Analysis.
Inverse scattering for critical semilinear wave equations (with A. Sá Barreto, G. Uhlmann)
Pure and Applied Analysis.
Streak artifacts from nonconvex metal objects in Xray tomography (with Y. Zou)
Pure and Applied Analysis.
Sharp resolvent estimates on nonpositively curved asymptotically hyperbolic manifolds
International Mathematics Research Notices (IMRN).
On the light ray transform of wave equation solutions (with A. Vasy)
Communications in Mathematical Physics.
Convolutional neural networks in phase space and inverse problems (with G. Uhlmann)
SIAM Journal on Applied Mathematics.
Singularities generated by the triple interaction of semilinear conormal waves (with A. Sá Barreto)
Analysis and PDE.
Determination of spacetime structures from gravitational perturbations (with G. Uhlmann)
Communications on Pure and Applied Mathematics.
(Top cited article 20202021)
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.
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 nontrapping asymptotically hyperbolic manifolds
Recent and upcoming presentations:
Applied Inverse Problems (AIP) Conference, Göttingen, Germany, 092023.
Workshop "Inverse Problems, Imaging and PDEs", HKUST, Hong Kong, 122023.
AMS Spring Southeastern Sectional Meeting, Florida State University, Tallahassee, 032024.
AMS Spring Eastern Sectional Meeting, Howard University, Washington DC, 042024.
SIAM Conference on Imaging Science, Atlanta, 052024.
CBMS Conference on Inverse Problems and Nonlinearity, Clemson University, 062024.
International Conference and School on Inverse Problems, Shanghai Center for Mathematical Sciences, Shanghai, 062024
BIRS workshop "Partial Differential Equations: Deterministic and Probabilistic", Hangzhou, 082024.
