Guohuan Qiu(邱国寰)

Guohuan QIu's Photo Assistant Professor (2021.9-Now): Academy of Mathematics and Systems Science, Chinese Academy of Sciences.
Research Assistant Professor (2018.9-2021.9):The Chinese University of Hong Kong.
Postdoctoral Fellow (2016-2018):McGill University, (working with Pengfei Guan).
Graduate Research Trainee (2015.8-2016.7), McGill University.
Advisor: Pengfei Guan.
Ph.D(2010-2015): Mathematics, University of Science and Technology of China.
Dissertation: Neumann Problems for Hessian equations and geometric applications.
Advisor:Xinan Ma.
email adress:qiugh@amss.ac.cn.


Research interest: Partial differential equations, Geometric Analysis.


Research Grants:

1. 2019.11-2021.9, Principal investigator of HK RGC General Research Fund, No. 14300819.
2. 2018.10-2019.10, Principal investigator of CUHK Direct Grant for Research, No. 4053340.


Preprints:

1. Interior curvature estimates for hypersurfaces of prescribing scalar curvature in dimension three. ArXiv:1901.07791 (2019), submitted.
2. Interior Hessian estimates for sigma-2 equations in dimension three. ArXiv:1711.00948(2017).

Publications:
1. Interior C2 regularity of convex solutions to prescribing scalar curvature equations (with Pengfei Guan ).
Duke Math. J., 168.9(2019): 1641-1663.
2. The Neumann problem for Hessian Equations (with Xinan Ma).
Comm. Math. Phys., 366.1(2019): 1-28.
3. Classical Neumann problems for Hessian equations and Alexandrov-Fenchel's inequalities (with Chao Xia).
Int. Math. Res. Not. IMRN, (2017) rnx296.
4. Overdetermined Boundary Value Problems in S^n (with Chao Xia).
J. Math. Study, 50.2(2017):165-173.
5. Gradient estimates on Hessian equations for Neumann problem (with Xinan Ma and Jinju Xu).
SCHENTIA SINICA Mathematica, 46.3(2016):1117-1126.
6.A generalization of Reilly's formula and its applications to a new Heintze-Karcher type inequality (with Chao Xia).
Int. Math. Res. Not. IMRN, 2015.17(2015):7608-7619.
7.A family of higher order isoperimetric inequalities.
Commun. contemp. math. 17.03(2015): 1450015.


Teaching:

2019/20 Spring, Partial Differential Equations (MATH 4220) in CUHK.
2018/19 Spring, Partial Differential Equations (MATH 4220) in CUHK.
2017 fall, Linear algebra and Geometry (Math 133 ) in McGill University.

Teaching Assistant:
2010年秋:线性代数(陈效群)。
2011年春:实分析(赵立丰)。
2011年秋:数学分析(任广斌)。
2012年春:微分几何(左达峰)。
2013年春:偏微分方程(麻希南)。
2013年秋:微分流形(孔胜利)。
2014年春:数理方程(王作勤)。
2014年秋:数学分析 (任广斌)。


Seminars:
PDE Seminar in IMS.
Geometric Analysis Seminar in Math Department & IMS, CUHK.

Previous Seminars:

Geometric Analysis Seminar in McGill University.
PDE Seminars in USTC:
2014年春
2014年秋
2015年春


Useful links:

Googles cholar
Mathscinet
Zentralblatt Math
E-preprint
Mathematical Information Server