数学科学研究所
Insitute of Mathematical Science

姚成建 Chengjian Yao

Career


• 2018.7-present, Assistant Professor, ShanghaiTech University.

• 2016.6-2018.6, Chercheur Postdoc, Université libre de Bruxelles.

• 2016.1-2016.5, Viterbi Endowed Postdoctoral Fellow, MSRI.

• 2015.6-2015.12, Chercheur Postdoc, Université libre de Bruxelles.  


Education

• 2012-2015, Ph.D in Mathematics,Stony Brook University (Advisor: Xiuxiong Chen), May 2015
• 2009-2012, University of Wisconsin, Madison
• 2005-2009, B.S. in Mathematics, University of Science and Technology of China (College: Special Class for Gifted Young)


Research
My research area is differential geometry, in particular geometric analysis. The main studies are about the various types of geometric structures on manifolds, for instance differentiable structure, metric structure and the special curvature structures using analytic methods. Those structures serve as the backgrounds of many other theories, most remarkably in theoretical physics.

Publications

1.(with Joel Fine) A report on the hypersymplectic flow, submitted to PAMQ. 


2.(with Joel Fine) Hypersymplectic four-manifolds, the G2-Laplacian flow and extension assuming bounded scalar curvature. Duke Math. J. Volume 167, Number 18 (2018), 3533-3589.

 

3. (with Hongnian Huang and Yuanqi Wang) Cohomogeneity-one G2-Laplacian flow on 7-torus, Journal of the London Mathematical Society, Vol. 98, Issue 2, 2018.


4. (with Cristiano Spotti, Song Sun) Existence and deformations of Kahler-Einstein metrics on smoothable Q-Fano varieties. Duke Math. J., Volume 165, Number 16(2016), 3043-3083.


5. Continuity Method to Deform Cone Angle. The Journal of Geometric Analysis, 1-18(2015).


6. Existence of Weak Conical Kahler-Einstein Metrics Along Smooth Hypersurfaces. Mathematische Annalen, Volume 362, Issue 3, 1287-1304(2015).





Email:

yaochj@shanghaitech.edu.cn

Office: S412, School of Creativity & Arts



地址:上海市浦东新区华夏中路393号
邮编:201210
上海市徐汇区岳阳路319号8号楼
200031(岳阳路校区)