General

Guohuan Qiu, Tenure-track associate Professor

Academy of Mathematics and Systems Science, CAS.

Email:  qiugh@amss.ac.cn

Adress: No. 55, Zhongguancun East Road, Haidian District, Beijing, China.

Orcid ID: https://orcid.org/0000-0002-2654-4044

Research Areas

PDE, Geometric analysis


Education

Ph.D. in Mathematics (2010.9-2016.6), University of Science and Technology of China, Hefei, China. 

B.Sc. in Mathematics (2005.9-2009.6), Northwest University, China.

Experience

Tenure-track associate Professor(2021.9 - Now), Academy of Mathematics and Systems Science, CAS.

Research Assistant Professor (2018.9-2021.9), Chinese University of Hong Kong. 

Postdoctoral Fellows (2016.8-2018.8), McGill University. Working with Pengfei Guan. 


Teaching Experience
2021-2022 Spring, PDE I,II.

Publications


Selected Papers

1. Guohuan Qiu, Interior curvature estimates for hypersurfaces of prescribing scalar curvature in dimension three, to appear in Amer. J. Math. 

2. Guohuan Qiu, Interior Hessian Estimates for sigma-2 Equations in Dimension Three. Front. Math (2024). https://doi.org/10.1007/s11464-023-0156-0. 

3. Pengfei Guan and Guohuan Qiu, Interior C2 regularity of convex solutions to prescribing scalar curvature equations, Duke Math. J., 168.9, (2019), DOI 10.1215/00127094-2019-0001. 

4. Xinan Ma and Guohuan Qiu, The Neumann Problem for Hessian Equations. Comm. Math. Phys., 366.1 (2019): 1-28.

5. Guohuan Qiu and Chao Xia, A generalization of Reilly’s formula and its applications to a new Heintze-Karcher type inequality, Int. Math. Res. Not. IMRN, 2015, 2015(17): 7608-7619.

Conferences

2023.7.16-7.22 Beijing & Zoom,  Nonlinear Analysis and its Applications in Geometry (organized with Shibing Chen and Yi Zhang).


Students

Postgraduate students:

Tongtong Li, very weak solutions of the Dirichlet problem for 2-Hessian equation, arXiv2024.

Guanyu Tao.

Honors & Distinctions

2019, Zhong Jiaqing Mathematics Award.

Seminars

Geometric PDE Seminar at AMSS (organized with Prof. Liming Sun):

https://sunliminghome.github.io/GeometricPDESeminar.html.