Several Complex Variables, Complex Geometry, CR Geometry, and Partial Differential Equations.
2009 - May 2015, Ph.D. in Mathematics, Rutgers
2005 - 2009, B.S. in Mathematics, Univ. of Science and Technology of China, Hefei, China.
Publications and submitted papers:
On the smooth version of the reflection principle for mappings between CR manifolds, (joint with Shiferaw Berhanu), Amer. J. Math. 137 (2015), no.5, 1365-1400.
Nonembeddability into a fixed sphere for a family of compact real algebraic hypersurface, (joint with Xiaojun Huang and Xiaoshan Li),
Int. Math. Res. Not.(IMRN). 16 (2015), 7382-7393. [DOI: 10.1093/imrn/rnu167].
On the regularity of CR mappings between CR manifolds of hypersurface type, (joint with Shiferaw Berhanu), accepted for publication by Trans. Amer. Math. Soc. [PDF].
Proper holomorphic maps from the unit disk to some unit balls. (joint with John D'Angelo, Zhenghui Huo), to appear in Proc. Amer. Math. Soc. [PDF].
On the embeddability of real hypersurfaces into hyperquadrics, (joint with Ilya Kossovskiy), to appear in Advances in Math. [PDF].
Holomorphic isometries from the unit ball into the irreducible bounded symmetric domain, (joint with Yuan Yuan), preprint. [PDF].(The paper has been re-organized into the next two papers).
Holomorphic maps from the complex unit ball to type IV classical domains, (joint with Yuan Yuan), submitted. [PDF].
Complexity of holomorphic maps from the complex unit ball to classical domains, (joint with Yuan Yuan), submitted [PDF].
Volume-preserving maps between Hermitian symmetric spaces of compact type, (joint with Hanlong Fang and Xiaojun Huang), submitted. [PDF].
A remark on Bergman-Einstein metrics, (joint with Xiaojun Huang), submitted. [PDF].
Regularity of CR mappings into Levi-degenerate hypersurfaces, (joint with Ilya Kossovskiy and Bernhard Lamel), submitted [PDF].
Chern-Moser-Weyl tensor and embeddings into hyperquadrics, (joint with Xiaojun Huang), submitted [PDF].