Research

Technically, my research mainly focuses on microlocal analysis. In terms of topics, I am interested in mathematical physics. 

Research papers:

Calabi–Yau generalized complete intersections and aspects of cohomology of sheaves  (with Hai Lin), published in Journal of Mathematical Physics.

Dimensional Reweighting Graph Convolutional Networks (with Xu Zou et al.)

2D Inverse Problems with a Foliation Condition , preprint.

Propagation of Singularity with Normally Hyperbolic Trapping , preprint.

The tensorial X-ray transform on asymptotically conic spaces  (with András Vasy), published in Inverse Problems and Imaging. 

Interior analysis, stretched technique and bubbling geometries (with Hai Lin), published in Annals of Physics.

Notes/Expository papers/other fun stuffs:

The topological pressure of trapped sets in Kerr-(de Sitter) spacetimes 

Regularity of distributions with zeo measure support